{ "source_baseline": "UD_COEFFICIENT_PROVENANCE_LEDGER_v0.84_OPTICAL_HASSE_TREE_VERIFICATION", "source_baseline_sha256": "438f5b607cd671a4ab4bccd932e6f766b8f03379c67070ae6a6ad80ee2105cb6", "scientific_revision_date": "2026-09-06", "scientific_revision": "v0.43", "revision_type": "APPEND_ONLY_CURRENT_ACTION_RATIO_CANONICALIZATION", "typed_objects": 723, "physical_promotion": 0, "claim_bin_counts": { "EXACT_INTERNAL": 51, "COMPUTED_BRIDGE": 11, "DERIVED_STRUCTURAL": 36, "QUARANTINED_CANDIDATE": 49, "SOURCE_STRATUM": 10, "EXACT_CONDITIONAL": 145, "NOT_A_COEFFICIENT": 15, "SIMULATION_CALIBRATED": 4, "PROTOCOL_CONTROL": 79, "EXPELLED": 2, "EXACT_PROXY": 2, "LOCKED_MATHEMATICAL_GEOMETRY": 9, "LOCKED_INTERNAL_MATHEMATICS": 143, "OPEN_GAP": 2, "LOCKED_NO_GO": 87, "LOCKED_SOURCE_STRUCTURE": 2, "LOCKED_STATUS": 76 }, "namespace_counts": { "P": 10, "F": 6, "C": 10, "Q": 564, "G": 8, "B": 6, "H": 5, "O": 111, "L": 1, "X": 2 }, "scientific_changes": [ "User-supplied 2026-08-29 PASS_REPAIR establishes the current convention-invariant action ratio eta_A := A_0/hbar.", "Bare historical xi_hbar remains retired/frozen from unqualified current numerical use.", "Historical convention A0 = xi_hbar^(A) hbar maps to xi_hbar^(A)=eta_A.", "Historical convention hbar = xi_hbar^(B) A0 maps to xi_hbar^(B)=eta_A^(-1).", "The earlier v0.42 NO_LAWFUL_BRANCH_SELECTION ruling is narrowed: no historical bare-xi convention was recovered, but current canon is lawfully defined by eta_A=A0/hbar.", "B_0 is mass-like for dimensional closure of both A_0=B_0 a_0^2/tau_0 and the native Newton-unit map.", "Numerical eta_A remains OPEN; primitive quantum-holonomy normalization equality remains OPEN; physical promotion remains zero." ], "rows": [ { "id": "P01", "symbol": "V(K4)", "exact_form": "4", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE ROOT GENERATOR", "next_gate": "none for count; physical dimension interpretations remain downstream", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "V(K_4)", "reconciliation_notes": "" }, { "id": "P02", "symbol": "E(K4)", "exact_form": "6", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE ROOT GENERATOR", "next_gate": "none for count", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "E(K_4)", "reconciliation_notes": "" }, { "id": "P03", "symbol": "\\|Aut(K4)\\| = \\|S4\\|", "exact_form": "24", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE ROOT GENERATOR", "next_gate": "none for group order", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "\\|Aut(K_4)\\| = \\|S_4\\|", "reconciliation_notes": "" }, { "id": "P04", "symbol": "\\|Theta\\|", "exact_form": "2^3 = 8", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE ROOT GENERATOR", "next_gate": "closure/admissibility rule must justify the unique reference state", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "\\|\\Theta\\|", "reconciliation_notes": "" }, { "id": "P05", "symbol": "N1", "exact_form": "24 * 8 = 192", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE / SECTION-7 DEPENDENCY", "next_gate": "any observable interpretation must be derived separately", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_1", "reconciliation_notes": "" }, { "id": "P06", "symbol": "Delta_theta", "exact_form": "8 - 1 = 7", "claim_bin": "EXACT_INTERNAL", "status": "ACTIVE / SECTION-7 DEPENDENCY", "next_gate": "continue to preserve the closure-rule proof independently of downstream matches", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "\\Delta_\\theta", "reconciliation_notes": "" }, { "id": "P07", "symbol": "G1_default", "exact_form": "4", "claim_bin": "COMPUTED_BRIDGE", "status": "DEFAULT NATIVE SELECTOR WITH TESTED-SCOPE GUARD", "next_gate": "general branch grammar / larger-scope recurrence", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "G_{1,default}", "reconciliation_notes": "" }, { "id": "P08", "symbol": "G1_dense", "exact_form": "12", "claim_bin": "COMPUTED_BRIDGE", "status": "ADMISSIBLE DENSE ALTERNATE", "next_gate": "global consistency / dense-branch recurrence", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "G_{1,dense}", "reconciliation_notes": "" }, { "id": "P09", "symbol": "N2_default / N2_dense", "exact_form": "768 / 2304", "claim_bin": "DERIVED_STRUCTURAL", "status": "BRANCH-SPLIT LADDER CANDIDATES", "next_gate": "branch selector generalization", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "N_{2,default} / N_{2,dense}", "reconciliation_notes": "" }, { "id": "P10", "symbol": "N_layer", "exact_form": "4 * 8 = 32", "claim_bin": "QUARANTINED_CANDIDATE", "status": "STRONG NATIVE LAYER-DEPTH CANDIDATE; CURRENT BANACH ATTENUATION OVER-SUPPRESSES; TERMINATION/NORMALIZATION OPEN", "next_gate": "prove the 32-layer termination and per-layer attenuation normalization independently of the hierarchy target", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "N_{layer}", "reconciliation_notes": "quarantined; blocked from settled mainline use; 32 is native-count supported but sequential depth/termination remains unproved" }, { "id": "F01", "symbol": "R_d", "exact_form": "(d+1)/d, d>=1", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / DIMENSION-TYPED FRAME FAMILY", "next_gate": "none for frame identity; any dynamics using a special R_d needs an independent source law", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "R_d", "reconciliation_notes": "" }, { "id": "F02", "symbol": "C_d", "exact_form": "d/(d+1), d>=0", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / DIMENSION-TYPED RECIPROCAL FAMILY", "next_gate": "none for frame/norm identity", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "C_d", "reconciliation_notes": "" }, { "id": "F03", "symbol": "R_3^(tet-face)", "exact_form": "4/3", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT COFRAME-SHAPE FACTOR UNDER DECLARED DYAD DEFINITION", "next_gate": "physical coframe interpretation requires independent continuum/transport bridge", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "R_3^(tet-face)", "reconciliation_notes": "COLLISION-02: same rational value, different types" }, { "id": "F04", "symbol": "C_3^(tet-center)", "exact_form": "3/4", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT GEOMETRIC LOCATION; OLD9 DYNAMICAL REUSE FROZEN", "next_gate": "any dynamical use must be independently source-derived", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "C_3^(tet-center)", "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers" }, { "id": "F05", "symbol": "R_4^(5-state address)", "exact_form": "5/4", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT ADDRESS-FRAME IDENTITY", "next_gate": "none for address-frame identity", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "R_4^(5-state address)", "reconciliation_notes": "" }, { "id": "F06", "symbol": "dim Sym^2_0(3)", "exact_form": "5 = 2 + 3", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT OPERATOR-SPACE DIMENSION", "next_gate": "deficit-allocation/interface map if used as divisor in alpha_struct", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "dim Sym^2_0(3)", "reconciliation_notes": "COLLISION-08: repeated dimension/value 5" }, { "id": "C01", "symbol": "r_Delta", "exact_form": "7/192", "claim_bin": "EXACT_INTERNAL", "status": "LOCKED INTERNAL STRUCTURAL RATIO", "next_gate": "none for arithmetic; each physical alias needs its own gate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "r_\\Delta", "reconciliation_notes": "" }, { "id": "C02", "symbol": "r_retain", "exact_form": "185/192", "claim_bin": "EXACT_INTERNAL", "status": "LOCKED INTERNAL STRUCTURAL RATIO", "next_gate": "physical spectral-index interpretation requires its own cosmology proof", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "r_{retain}", "reconciliation_notes": "" }, { "id": "C03", "symbol": "C_vertex", "exact_form": "7/768", "claim_bin": "DERIVED_STRUCTURAL", "status": "ACTIVE STRUCTURAL RATIO; PHYSICAL CAPACITY LANGUAGE SCOPED", "next_gate": "derive the local admissibility law independently of physical cutoff claims", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "C_vertex", "reconciliation_notes": "" }, { "id": "C04", "symbol": "beta_UD", "exact_form": "ln(192/185)", "claim_bin": "DERIVED_STRUCTURAL", "status": "ACTIVE STRUCTURAL FLOW COEFFICIENT; RG INTERPRETATION NOT PRIMITIVE", "next_gate": "derive the dynamics that make this logarithm the actual coarse-scale flow rate", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "\\beta_{UD}", "reconciliation_notes": "" }, { "id": "C05", "symbol": "d_seat", "exact_form": "5", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT NATIVE FIVE-DIMENSIONAL RESPONSE SPACE", "next_gate": "none for dimension; any deficit-to-response allocation law is separate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "d_seat", "reconciliation_notes": "COLLISION-08: repeated dimension/value 5" }, { "id": "C06", "symbol": "alpha_struct^(0)", "exact_form": "7/960", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK EXACT INTERNAL NORMALIZED RATIO / AUTO_FREEZE AS CURRENT q-PAIRING HAMILTONIAN COEFFICIENT", "next_gate": "derive an independent S4-invariant source functional before any physical coupling interpretation", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "\\alpha_{struct}^{(0)}", "reconciliation_notes": "7/960 is an exact internal normalized ratio; physical coupling interpretation is frozen" }, { "id": "C07", "symbol": "S0", "exact_form": "43/7", "claim_bin": "DERIVED_STRUCTURAL", "status": "B1-D DERIVED FORMAL / ACTIVE INTERNAL SUPPORT", "next_gate": "maintain consistency between the two support derivations and current packet grammar", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "S0", "reconciliation_notes": "" }, { "id": "C08", "symbol": "H", "exact_form": "101/6", "claim_bin": "DERIVED_STRUCTURAL", "status": "B1-D DERIVED FORMAL; PHYSICAL IDENTITY GAP OPEN", "next_gate": "continue reconciliation of parity doubling, identity increment, coherence rebate, and C3_7 burden ledger", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "H", "reconciliation_notes": "101/6 is structural H/heavy-lift quantity; physical identity/B_e equality remains open" }, { "id": "C09", "symbol": "C_star", "exact_form": "7/8", "claim_bin": "SOURCE_STRATUM", "status": "SOURCE-STRATUM / NEEDS CURRENT REBASE", "next_gate": "re-derive under current finite-register admissibility grammar", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "C_star", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "C10", "symbol": "Q_agree / Q_Koide", "exact_form": "2/3", "claim_bin": "SOURCE_STRATUM", "status": "NOTATION COLLISION / CONTEXT QUALIFICATION REQUIRED", "next_gate": "split symbols by mechanism and re-audit each route", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "Q_agree / Q_Koide", "reconciliation_notes": "historical/source-layer; not current physical canon; COLLISION-04: 2/3 notation/value collision" }, { "id": "Q01", "symbol": "Q_A,Q_B,Q_C coefficients", "exact_form": "permutations of (-2/3, 1/3, 1/3)", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXPLICIT PAIRING 2-IRREP REALIZATION", "next_gate": "source dynamics must supply a nonzero weight contrast to activate energy in this channel", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "Q_A,Q_B,Q_C coefficients", "reconciliation_notes": "" }, { "id": "Q02", "symbol": "\\|\\|Q_i\\|\\|_F^2", "exact_form": "2/3", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT OPERATOR NORM", "next_gate": "none for norm", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "\\|\\|Q_i\\|\\|_F^2", "reconciliation_notes": "COLLISION-04: 2/3 notation/value collision" }, { "id": "Q03", "symbol": "R_pair-op", "exact_form": "3/2", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT PAIRING-OPERATOR FRAME CONSTANT", "next_gate": "none for frame identity; source amplitude remains separate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "R_pair-op", "reconciliation_notes": "" }, { "id": "Q04", "symbol": "a_star = K_q^star/G", "exact_form": "3/2", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE q-SCALAR BLOCK", "next_gate": "non-scalar q activation requires independently derived edge-class contrast or other lawful source asymmetry", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "a_star = K_q^star/G", "reconciliation_notes": "" }, { "id": "Q05", "symbol": "b_star = K_m^star/G", "exact_form": "11/4", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / CURRENT SOURCE-COMPLETE m-SCALAR BLOCK", "next_gate": "boundary/source corrections may split modes but physical units remain downstream", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "b_star = K_m^star/G", "reconciliation_notes": "" }, { "id": "Q06", "symbol": "kappa_q,pair^current", "exact_form": "0", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / CURRENT SOURCE-SELECTED PAIRING q AMPLITUDE IS ZERO", "next_gate": "derive unequal edge-class source weights or another lawful source if a nonzero q quadrupole is proposed", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "kappa_q,pair^current", "reconciliation_notes": "COLLISION-07: zero-valued source amplitudes with distinct provenance" }, { "id": "Q07", "symbol": "mu_partial", "exact_form": "{0, 1/9, 1/3}", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / BASIS-INDEPENDENT BOUNDARY SPECTRUM", "next_gate": "recover retained m representation/intertwiner for S4 channel alignment", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "mu_partial", "reconciliation_notes": "" }, { "id": "Q08", "symbol": "mu_bar", "exact_form": "4/27", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT ISOTROPIC BOUNDARY SHIFT", "next_gate": "none for mean; source amplitude lambda_partial remains separate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "mu_bar", "reconciliation_notes": "" }, { "id": "Q09", "symbol": "spec(T_partial)", "exact_form": "{-4/27, -1/27, 5/27}", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT TRACELESS BOUNDARY ANISOTROPY", "next_gate": "recover rho_m(g) or an explicit intertwiner U", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "spec(T_partial)", "reconciliation_notes": "" }, { "id": "Q10", "symbol": "Tr(T_partial^2)", "exact_form": "14/243", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT BOUNDARY ANISOTROPY INVARIANT", "next_gate": "representation alignment for channel-specific meaning", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "Tr(T_partial^2)", "reconciliation_notes": "" }, { "id": "Q11", "symbol": "omega_0^2", "exact_form": "33/8", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / EXACT MODE BASELINE WITHIN CURRENT RETAINED HAMILTONIAN", "next_gate": "physical mapping and broader source generality downstream", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "omega_0^2", "reconciliation_notes": "" }, { "id": "Q12", "symbol": "r_0^2", "exact_form": "11/6", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / EXACT MODE RESPONSE FACTOR", "next_gate": "same as Q11", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "r_0^2", "reconciliation_notes": "" }, { "id": "Q13", "symbol": "lambda_partial(zeta)", "exact_form": "beta_F^2/(zeta-Delta_F); positivity requires lambda_partial > -33/4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL FAMILY FORM / PRIMITIVE AMPLITUDE AND GAP SOURCE-BLOCKED", "next_gate": "recover explicit radial vertical Hamiltonian D_F and coupling block B_F from source data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "lambda_partial(zeta)", "reconciliation_notes": "" }, { "id": "Q14", "symbol": "kappa_pair^(uniaxial contrast coordinate)", "exact_form": "kappa = W_A-W_B = W_A-W_C on W_B=W_C; -9/2 < kappa < 9/4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / UNIAXIAL EDGE-CLASS CONTRAST COORDINATE; CURRENT VALUE 0 UNDER EQUAL WEIGHTS", "next_gate": "derive actual W_A,W_B,W_C from packet source dynamics; no target backsolve", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "kappa_pair^(uniaxial contrast coordinate)", "reconciliation_notes": "" }, { "id": "Q15", "symbol": "c_partial,2 / c_partial,3", "exact_form": "UNRESOLVED", "claim_bin": "QUARANTINED_CANDIDATE", "status": "AUTO_FREEZE / NOT CANONICALLY COMPUTABLE FROM SPECTRUM ALONE", "next_gate": "BOUNDARY_PAIRING_ALIGNMENT_SOURCE_RECOVERY_GATE: recover rho_m(g) or U in the same basis as S_partial", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "c_partial,2 / c_partial,3", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q16", "symbol": "E_5(T_partial)", "exact_form": "14/1215", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT SCALAR RESPONSE DENSITY", "next_gate": "none for invariant; physical source interpretation separate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "E_5(T_partial)", "reconciliation_notes": "" }, { "id": "Q17", "symbol": "beta_F", "exact_form": "OPEN", "claim_bin": "QUARANTINED_CANDIDATE", "status": "AUTO_FREEZE AGAINST HISTORICAL SYMBOL REUSE / SOURCE-BLOCKED", "next_gate": "recover B_F and derive B_F B_F^T normalization", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "beta_F", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q18", "symbol": "Delta_F", "exact_form": "OPEN", "claim_bin": "QUARANTINED_CANDIDATE", "status": "AUTO_FREEZE AGAINST HISTORICAL Delta REUSE / SOURCE-BLOCKED", "next_gate": "recover D_F and derive its spectrum", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "Delta_F", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q19", "symbol": "zeta_F (operative spectral point)", "exact_form": "OPEN", "claim_bin": "QUARANTINED_CANDIDATE", "status": "SOURCE-BLOCKED / NO TARGET-BACKSOLVE", "next_gate": "derive state/energy selection rule from fine Hamiltonian", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "zeta_F (operative spectral point)", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q20", "symbol": "delta_pair = (delta_A,delta_B,delta_C)", "exact_form": "delta_i=W_i-(W_A+W_B+W_C)/3; delta_A+delta_B+delta_C=0", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / EXACT SOURCE VARIABLE FAMILY; CURRENT EQUAL-CELL STAR HAS delta_pair=0", "next_gate": "derive W_A,W_B,W_C from lawful defect, boundary, burden-current, or transport-cost dynamics", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "delta_pair = (delta_A,delta_B,delta_C)", "reconciliation_notes": "not a tunable coefficient" }, { "id": "Q21", "symbol": "A_pair^2 = \\|\\|Q_src\\|\\|_F^2", "exact_form": "delta_A^2+delta_B^2+delta_C^2 = [(W_A-W_B)^2+(W_B-W_C)^2+(W_C-W_A)^2]/3", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / EXACT DYNAMIC SOURCE INVARIANT; CURRENT VALUE 0 UNDER EQUAL WEIGHTS", "next_gate": "test source histories that generate nonzero class-weight contrast without fitting", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "A_pair^2 = \\|\\|Q_src\\|\\|_F^2", "reconciliation_notes": "" }, { "id": "G01", "symbol": "g_G^lat = G_eff^lattice", "exact_form": "3/(4*pi)", "claim_bin": "SIMULATION_CALIBRATED", "status": "PASS_LOCKED WITHIN TESTED PROTOCOLS", "next_gate": "physical scale mapping and broader observable/general-topology validation", "use_class": "PROTOCOL_CALIBRATED", "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.", "display_symbol": "g_G^lat = G_eff^lattice", "reconciliation_notes": "COLLISION-01: same numerical form, distinct provenance" }, { "id": "G02", "symbol": "beta_A", "exact_form": "1/12", "claim_bin": "SIMULATION_CALIBRATED", "status": "PASS_LOCKED WITHIN R10a", "next_gate": "replication across additional source classes/topologies", "use_class": "PROTOCOL_CALIBRATED", "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.", "display_symbol": "beta_A", "reconciliation_notes": "" }, { "id": "G03", "symbol": "kappa_C^(legacy)", "exact_form": "3/(4*pi)", "claim_bin": "SOURCE_STRATUM", "status": "SOURCE-STRATUM / NUMERICALLY COLLIDES WITH G01 BUT PROVENANCE REMAINS DISTINCT", "next_gate": "prove equivalence or keep symbols permanently distinct", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "kappa_C^(legacy)", "reconciliation_notes": "historical/source-layer; not current physical canon; COLLISION-01: same numerical form, distinct provenance" }, { "id": "G04", "symbol": "epsilon_G", "exact_form": "1/1000", "claim_bin": "PROTOCOL_CONTROL", "status": "CONTROL ONLY", "next_gate": "sensitivity/robustness study if promoted as a methodological standard", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "epsilon_G", "reconciliation_notes": "method control only" }, { "id": "B01", "symbol": "sin^2(theta_W)^(legacy)", "exact_form": "3/13", "claim_bin": "SOURCE_STRATUM", "status": "REBUILD/REBASE REQUIRED BEFORE CURRENT CANON", "next_gate": "target-blind current gauge derivation with normalization proof", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "sin^2(theta_W)^(legacy)", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "B02", "symbol": "alpha_s^(legacy)", "exact_form": "129/(112*pi^2)", "claim_bin": "SOURCE_STRATUM", "status": "REBUILD REQUIRED; LEGACY PHYSICAL INTERPRETATION HELD", "next_gate": "current homological/gauge derivation without hidden normalization import", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "alpha_s^(legacy)", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "B03", "symbol": "alpha_EM^{-1}^(legacy)", "exact_form": "13*pi^2", "claim_bin": "SOURCE_STRATUM", "status": "CONSISTENCY CHECK ONLY / REBASE REQUIRED", "next_gate": "rebuild B01 and alpha_2 first", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "alpha_EM^{-1}^(legacy)", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "B04", "symbol": "rho_genesis_fit", "exact_form": "~0.891 (fit)", "claim_bin": "SIMULATION_CALIBRATED", "status": "HISTORICAL/PROTOCOL-SCOPED FIT", "next_gate": "full-window refit and mechanism derivation", "use_class": "PROTOCOL_CALIBRATED", "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.", "display_symbol": "rho_genesis_fit", "reconciliation_notes": "" }, { "id": "B05", "symbol": "rho_candidate", "exact_form": "2^(-1/6)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "DOWNGRADED / FULL 57-LEVEL REFIT REQUIRED", "next_gate": "blind full-window refit and analytic derivation", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "rho_candidate", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "B06", "symbol": "gamma_Omega", "exact_form": "-1/4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "HELD / CONDITIONAL", "next_gate": "B05 must pass first", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "gamma_Omega", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "H01", "symbol": "S_gap", "exact_form": "(192/7)^32 * (11/3)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "QUARANTINED HIERARCHY BRIDGE; N=32 HAS NATIVE SUPPORT BUT TESTED BANACH NORMALIZATION IS TOO STRONG", "next_gate": "derive per-layer attenuation and 11/3 from first principles before target comparison", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "S_gap", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "H02", "symbol": "R_boundary", "exact_form": "11/3", "claim_bin": "QUARANTINED_CANDIDATE", "status": "RATIONAL FACTOR OPEN", "next_gate": "native rational generator audit; no empirical-prime target selection", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "R_boundary", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "H03", "symbol": "F_IFS", "exact_form": "historical variants: 1/(3*pi), 1/sqrt(3*pi)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "DO NOT USE UNQUALIFIED", "next_gate": "split symbols (e.g., F_screen vs F_channel) and rebuild each dependency chain", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "F_IFS", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "H04", "symbol": "Lambda_UD Path A", "exact_form": "E_gs^4 / S0^2", "claim_bin": "COMPUTED_BRIDGE", "status": "B2/B3 BRIDGE; PHYSICAL PROMOTION HELD", "next_gate": "clean derivation of E_gs/screen without notation collisions and independent validation", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "Lambda_UD Path A", "reconciliation_notes": "" }, { "id": "H05", "symbol": "delta_S0^(quarantined)", "exact_form": "28/129", "claim_bin": "QUARANTINED_CANDIDATE", "status": "QUARANTINED FROM BARE S0", "next_gate": "independent target-blind composition law or expel", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "delta_S0^(quarantined)", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "O01", "symbol": "eta_n", "exact_form": "N_active / D_capacity", "claim_bin": "DERIVED_STRUCTURAL", "status": "ALLOWED DYNAMIC COEFFICIENT; NOT FREE", "next_gate": "formalize exact numerator/denominator definitions per operator regime", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "eta_n", "reconciliation_notes": "" }, { "id": "O02", "symbol": "R2(n,m)", "exact_form": "n(1+m)", "claim_bin": "COMPUTED_BRIDGE", "status": "LOCKED OPERATIONAL REPAIR WITHIN K2B SCOPE", "next_gate": "only relevant if K2B branch is reactivated beyond tested finite-register scope", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "R2(n,m)", "reconciliation_notes": "" }, { "id": "O03", "symbol": "lambda_back, lambda_theta, memory alpha, jitter, tolerances", "exact_form": "various sweep values", "claim_bin": "PROTOCOL_CONTROL", "status": "NEVER PROMOTE TO THEORY CONSTANTS", "next_gate": "sensitivity reporting only", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "lambda_back, lambda_theta, memory alpha, jitter, tolerances", "reconciliation_notes": "method control only" }, { "id": "O04", "symbol": "rho_n, nu_n", "exact_form": "bounded leakage / zero-mean perturbation terms", "claim_bin": "NOT_A_COEFFICIENT", "status": "CONSTRAINTS ONLY", "next_gate": "eventual universal-derivability horizon or explicit quarantine", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\rho_n, \\nu_n", "reconciliation_notes": "not a tunable coefficient" }, { "id": "O05", "symbol": "Xi_n, Delta_n", "exact_form": "context/deviation inputs", "claim_bin": "NOT_A_COEFFICIENT", "status": "LOCAL EXOGENEITY FOR RIGOR; GLOBAL DERIVABILITY HORIZON", "next_gate": "derive or quarantine at global horizon", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\Xi_n, \\Delta_n", "reconciliation_notes": "not a tunable coefficient" }, { "id": "L01", "symbol": "D_OLD9", "exact_form": "diag(3/4, 4/3)", "claim_bin": "SOURCE_STRATUM", "status": "AUTO_LOCK AS EXACT ARCHIVAL OPERATOR CLASS; CURRENT DYNAMICAL/ATOMIC REUSE AUTO_FREEZE", "next_gate": "new independent state-to-observable/source theorem if reused", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "D_OLD9", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "X01", "symbol": "C_enh^(legacy)", "exact_form": "2^n", "claim_bin": "EXPELLED", "status": "PERMANENTLY EXPELLED", "next_gate": "none; historical risk record only", "use_class": "EXPELLED", "claim_bin_meaning": "Rejected route retained only as an append-only risk/history artifact.", "display_symbol": "C_enh^(legacy)", "reconciliation_notes": "do not reuse in mainline derivation" }, { "id": "X02", "symbol": "eta_k, sigma_k (OAM)", "exact_form": "calibrated empirical values", "claim_bin": "SIMULATION_CALIBRATED", "status": "ALLOWED ONLY IN HELD-OUT EMPIRICAL MODELING", "next_gate": "out-of-sample forecast evaluation", "use_class": "PROTOCOL_CALIBRATED", "claim_bin_meaning": "Value calibrated or passed inside a declared simulation protocol; not a universal theory constant.", "display_symbol": "eta_k, sigma_k (OAM)", "reconciliation_notes": "" }, { "id": "Q22", "symbol": "kappa_theta,pair^current", "exact_form": "0", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / SEAM-SECTOR PAIRING SOURCE ZERO; DISTINCT PROVENANCE FROM Q06 BROADER CURRENT-SOURCE ZERO", "next_gate": "derive non-uniform edge stiffness from current primitives if this lane is to activate", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "kappa_theta,pair^current", "reconciliation_notes": "COLLISION-07: zero-valued source amplitudes with distinct provenance" }, { "id": "Q23", "symbol": "a_ij^(src)", "exact_form": "2 eta_O w_ij Xi_ij", "claim_bin": "SOURCE_STRATUM", "status": "SALVAGED AS TYPE-CORRECT CONDITIONAL MECHANISM / NOT CURRENT FINE-HISTORY CANON", "next_gate": "current primitive rebuild of w_ij and Xi_ij", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "a_ij^(src)", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "Q24", "symbol": "c_{ij}^(H,cand)", "exact_form": "(eta_O/2)(w_ij Xi_ij + w_ji Xi_ji)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL FORM / SOURCE VARIABLES NOT CURRENTLY DERIVED", "next_gate": "derive w_ij, Xi_ij and positivity from current primitives", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "c_{ij}^(H,cand)", "reconciliation_notes": "" }, { "id": "Q25", "symbol": "w_ij", "exact_form": "OPEN / source-stratum notation collision", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK NOTATION-COLLISION RULE / NO SINGLE CURRENT CANONICAL DEFINITION", "next_gate": "derive one current typed edge-weight law or split symbols permanently by role", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "w_ij", "reconciliation_notes": "not a tunable coefficient" }, { "id": "Q26", "symbol": "Xi_ij^(route)", "exact_form": "OPEN", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK PRIMITIVE DEFINITION OPEN / AUTO_FREEZE AS TUNING FACTOR", "next_gate": "derive state space, symmetry, update law and normalization from current UD primitives", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "Xi_ij^(route)", "reconciliation_notes": "not a tunable coefficient" }, { "id": "Q27", "symbol": "c_e^star", "exact_form": "3/4", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK", "next_gate": "none for null control", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "c_e^star", "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers" }, { "id": "Q28", "symbol": "alpha_B^2", "exact_form": "5", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "derive/recover native 18-shell vector set", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "alpha_B^2", "reconciliation_notes": "COLLISION-08: repeated dimension/value 5" }, { "id": "Q29", "symbol": "alpha_B", "exact_form": "sqrt(5)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "same as Q28", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "alpha_B", "reconciliation_notes": "" }, { "id": "Q30", "symbol": "epsilon_pilot", "exact_form": "1/8", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_FREEZE FROM THEORY USE", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "epsilon_pilot", "reconciliation_notes": "method control only" }, { "id": "Q31", "symbol": "epsilon_pair(H)", "exact_form": "(1/2) Tr(I-rho_pair(H)) = (1/4)\\|\\|I-rho_pair(H)\\|\\|_F^2", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / STRUCTURAL CURVATURE OBSERVABLE; NOT ACTION COEFFICIENT", "next_gate": "action weighting remains G05", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "epsilon_pair(H)", "reconciliation_notes": "" }, { "id": "Q32", "symbol": "C_pair^600", "exact_form": "720", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / STRUCTURAL DIAGNOSTIC ONLY", "next_gate": "physical action requires G05", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "C_pair^600", "reconciliation_notes": "" }, { "id": "Q33", "symbol": "T_pair,raw^600", "exact_form": "1440", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / RAW TRACE SUM; NOT PHYSICAL ACTION", "next_gate": "conditional action form 1440*kappa_loop only after G05 is derived", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "T_pair,raw^600", "reconciliation_notes": "" }, { "id": "Q34", "symbol": "epsilon_pair([s_A,s_B])", "exact_form": "3/2 for distinct pairing transpositions", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / DIAGNOSTIC ONLY; NO CURRENT COMMUTATOR ACTION TERM", "next_gate": "derive an action term before dynamical use", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "epsilon_pair([s_A,s_B])", "reconciliation_notes": "" }, { "id": "G05", "symbol": "kappa_loop^master", "exact_form": "RETIRED FROM MAINLINE AS UNIVERSAL SCALAR; Q35 endpoint-defect scalarization is LOCKED_NO_GO; restricted scalar aliases require an explicit sufficiency/proportionality theorem", "claim_bin": "QUARANTINED_CANDIDATE", "status": "AUTO_FREEZE AS MAINLINE UNIVERSAL SCALAR / HISTORICAL PROVENANCE RETAINED / ACTION SHAPE AND A-B-C RELAY AGGREGATION CLOSED VIA O09", "next_gate": "only reopen a scalar alias on a declared restricted domain after proving that the chosen coarse history variable is sufficient for O09 and that proportionality is carrier-stable", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "kappa_loop^master (retired mainline scalar)", "reconciliation_notes": "v0.40 scientific repair: universal scalar G05 retired from mainline; Q35 endpoint-defect scalar route is a locked no-go; restricted scalar aliases require a new sufficiency theorem; prior v0.39R1 row preserved." }, { "id": "G06", "symbol": "xi_hbar^(action-normalization provenance)", "exact_form": "HISTORICAL BARE-SYMBOL COLLISION: xi_hbar^(A)=eta_A for A0=xi_hbar^(A) hbar; xi_hbar^(B)=eta_A^(-1) for hbar=xi_hbar^(B) A0; current canonical ratio is eta_A=A0/hbar", "claim_bin": "SOURCE_STRATUM", "status": "AUTO_FREEZE BARE xi_hbar / HISTORICAL RECIPROCAL ALIASES ONLY / CURRENT CANON MOVED TO eta_A", "next_gate": "recover primitive quantum-holonomy normalization and test whether its xi_act is identified with the current unit-map normalization; numerical eta_A remains target-blind/open", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "xi_hbar^(action-normalization provenance)", "reconciliation_notes": "v0.43: v0.42 historical recovery failure preserved, but current convention ambiguity is closed by the 2026-08-29 PASS_REPAIR defining eta_A=A0/hbar." }, { "id": "Q35", "symbol": "Phi_hat_R(H)", "exact_form": "1-(1/d_R) Re Tr R(H) = (1/d_R) Re Tr(I-R(H))", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / REPRESENTATION-ROBUST ENDPOINT LOOP-DEFECT VARIABLE / NOT ACCUMULATED ACTION", "next_gate": "none for defect observable; endpoint-defect -> canonical action universal scalar route is LOCKED_NO_GO; use O09 for accumulated action", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "Phi_hat_R(H)", "reconciliation_notes": "v0.40: odd-framing witness proves no universal scalar maps Q35 endpoint defect to accumulated canonical action." }, { "id": "G07", "symbol": "kappa_raw^(R)", "exact_form": "1/d_R conditional on rewriting unit normalized loop cost as raw trace", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NOT UNIVERSAL PHYSICAL COUPLING", "next_gate": "none as bookkeeping; physical action weight remains G05", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "kappa_raw^(R)", "reconciliation_notes": "ALIAS-01: same-symbol/same-form provenance duplicate" }, { "id": "G08", "symbol": "g_curv,norm^(path)", "exact_form": "REJECTED as direct packet-curvature bridge; unit coefficient remains only on declared coarse path obstruction coordinate sigma_C", "claim_bin": "EXPELLED", "status": "AUTO_FREEZE / DIRECT BRIDGE REJECTED", "next_gate": "derive micro->breathing->obstruction coarse-graining; do not reuse G08", "use_class": "EXPELLED", "claim_bin_meaning": "Rejected route retained only as an append-only risk/history artifact.", "display_symbol": "g_curv,norm^(path)", "reconciliation_notes": "do not reuse in mainline derivation" }, { "id": "O06", "symbol": "Vol_mu(Y_n)", "exact_form": "OPEN unless internal measure is canonically fixed", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_FREEZE AS HIDDEN NORMALIZATION IF UNFIXED", "next_gate": "derive native measure theorem if continuous extra dimension is ever used", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "Vol_mu(Y_n)", "reconciliation_notes": "not a tunable coefficient" }, { "id": "O07", "symbol": "C_{Sigma<-X}", "exact_form": "OPEN", "claim_bin": "NOT_A_COEFFICIENT", "status": "SOURCE-BLOCKED / REQUIRED BEFORE ACTION-COEFFICIENT TRANSFER", "next_gate": "derive explicit numerical obstruction functions or recover telemetry", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "C_{Sigma<-X}", "reconciliation_notes": "not a tunable coefficient" }, { "id": "O08", "symbol": "F_O,F_B,F_C", "exact_form": "qualitative/monotonic archival mappings; numerical current formulas OPEN", "claim_bin": "SOURCE_STRATUM", "status": "SEMANTIC/MONOTONIC TYPE INFORMATION PRESERVED / NUMERICAL EXECUTION BLOCKED", "next_gate": "derive source-complete formulas or telemetry", "use_class": "SOURCE_STRATUM", "claim_bin_meaning": "Historical/source-layer object preserved for provenance; must be rebuilt/rebased before current canonical physical use.", "display_symbol": "F_O,F_B,F_C", "reconciliation_notes": "historical/source-layer; not current physical canon" }, { "id": "O09", "symbol": "I_loop->Hodge", "exact_form": "I_lift = (1/2) sum_{omega>0} a_omega Delta_phi_tilde_omega; closed history = pi sum_{omega>0} n_omega a_omega", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / CURRENT MAINLINE LIFTED LOOP-HISTORY TO CANONICAL HODGE ACTION MAP / TEMPORALLY ADDITIVE / ORTHOGONAL-HODGE-INTERTWINER COVARIANT", "next_gate": "extend to contractive/open-system action defect; test Q136 as a possible sufficient compression; dimensional physical action remains downstream through G06", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\mathcal I_{\\rm loop\\to Hodge}", "reconciliation_notes": "NEW v0.40 mainline action map replacing universal scalar G05 use; physical promotion 0." }, { "id": "Q36", "symbol": "S_path vs S_pkt scale relation", "exact_form": "distinct declared scale functionals; equality not currently derived", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / DIRECT EQUALITY FROZEN", "next_gate": "derive aggregation/coarse-graining theorem", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "S_path vs S_pkt scale relation", "reconciliation_notes": "" }, { "id": "Q37", "symbol": "f_tern->pair,compatible", "exact_form": "19/25", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / STRUCTURAL FRACTION ONLY", "next_gate": "none for count; physical interpretation blocked", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "f_tern->pair,compatible", "reconciliation_notes": "" }, { "id": "Q38", "symbol": "f_tern->pair,defect", "exact_form": "6/25", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT PROBABILITY OR COUPLING", "next_gate": "none structurally", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "f_tern->pair,defect", "reconciliation_notes": "" }, { "id": "Q39", "symbol": "C_pair^(tern-corrected,600)", "exact_form": "432", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / STRUCTURAL CURVATURE ONLY", "next_gate": "physical sector selection remains open", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "C_pair^(tern-corrected,600)", "reconciliation_notes": "" }, { "id": "Q40", "symbol": "C_pair^(tern)/C_pair^(binary)", "exact_form": "3/5", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / NOT SECTOR PROBABILITY", "next_gate": "requires selection action for physical meaning", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "C_pair^(tern)/C_pair^(binary)", "reconciliation_notes": "COLLISION-05: same 3/5 value, collision-guarded" }, { "id": "Q41", "symbol": "Delta C_pair/C_pair^(binary)", "exact_form": "2/5", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / NOT PHYSICAL ENERGY SAVING", "next_gate": "cross-cell-degree selection measure required", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "Delta C_pair/C_pair^(binary)", "reconciliation_notes": "COLLISION-06: same 2/5 value, distinct roles" }, { "id": "Q42", "symbol": "N_delta^(tern->pair)", "exact_form": "288", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT ACTION COST", "next_gate": "derive cell-degree measure before action use", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_delta^(tern->pair)", "reconciliation_notes": "" }, { "id": "Q43", "symbol": "R_boundary,shift2", "exact_form": "3", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE; NOT PHYSICAL CONSTANT", "next_gate": "independent retained-mode telemetry", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "R_boundary,shift2", "reconciliation_notes": "" }, { "id": "Q44", "symbol": "R_boundary,gap2", "exact_form": "2", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / OBSERVABLE-FACING DIMENSIONLESS SHAPE", "next_gate": "independent retained-mode telemetry", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "R_boundary,gap2", "reconciliation_notes": "" }, { "id": "Q45", "symbol": "S_boundary,tf", "exact_form": "(-4,-1,5) up to common scale", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / SHAPE VECTOR; NOT COEFFICIENT", "next_gate": "independent retained-mode telemetry and protected mode identification", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "S_boundary,tf", "reconciliation_notes": "" }, { "id": "Q46", "symbol": "tau_blind^K", "exact_form": "4*pi*sqrt(2/33)", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / INTERNAL K\u00c4HLER PARAMETER; NOT PHYSICAL TIME", "next_gate": "derive unit/measurement map before physical time interpretation", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "tau_blind^K", "reconciliation_notes": "" }, { "id": "Q47", "symbol": "chi_blind^(boundary)", "exact_form": "0", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / STRUCTURAL NULL RESPONSE; NOT EMPIRICAL SUSCEPTIBILITY", "next_gate": "projective/observable factorization or independent dynamics test", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "chi_blind^(boundary)", "reconciliation_notes": "" }, { "id": "Q48", "symbol": "k_K4,continuity", "exact_form": "1/4", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT DYNAMICAL OR PHYSICAL COUPLING", "next_gate": "physical current units remain open", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "k_K4,continuity", "reconciliation_notes": "" }, { "id": "Q49", "symbol": "omega_K4^chain", "exact_form": "2", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT PHYSICAL FREQUENCY", "next_gate": "derive unit/evolution-parameter map before physical-frequency use", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "omega_K4^chain", "reconciliation_notes": "" }, { "id": "Q50", "symbol": "s_rec^K4_chain", "exact_form": "pi", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT PHYSICAL TIME", "next_gate": "evolution-parameter/unit map", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "s_rec^K4_chain", "reconciliation_notes": "" }, { "id": "Q51", "symbol": "N_active^chain", "exact_form": "14", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT SPACETIME DIMENSION", "next_gate": "none for count; physical interpretation separately gated", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_active^chain", "reconciliation_notes": "" }, { "id": "Q52", "symbol": "dim C1_grad : dim C1_cycle", "exact_form": "3:3", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NO AUTOMATIC IDENTIFICATION WITH OTHER 3+3 SPLITS", "next_gate": "typed intertwiner required for any identification with named packet sectors", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "dim C1_grad : dim C1_cycle", "reconciliation_notes": "" }, { "id": "Q53", "symbol": "N_twisted,local", "exact_form": "30", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY", "next_gate": "none for count", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_twisted,local", "reconciliation_notes": "" }, { "id": "Q54", "symbol": "N_twisted,active,local", "exact_form": "28", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / INTERNAL-FIBER DIMENSION ONLY", "next_gate": "global holonomy modifies parallel-zero-mode structure", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_twisted,active,local", "reconciliation_notes": "" }, { "id": "Q55", "symbol": "N_parallel^(full S3)", "exact_form": "0", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY", "next_gate": "observable/measurement interpretation", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_parallel^(full S3)", "reconciliation_notes": "" }, { "id": "Q56", "symbol": "N_parallel^(corrected Z2)", "exact_form": "1", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NOT PHYSICAL VACUUM DEGENERACY", "next_gate": "observable/measurement interpretation", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "N_parallel^(corrected Z2)", "reconciliation_notes": "" }, { "id": "Q57", "symbol": "f_split^(twisted,Z2 corrected)", "exact_form": "3/5", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / DISTINCT FROM CURVATURE 3/5 COLLISION", "next_gate": "protected twisted-monodromy observable", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "f_split^(twisted,Z2 corrected)", "reconciliation_notes": "COLLISION-05: same 3/5 value, collision-guarded" }, { "id": "Q58", "symbol": "C_ret(H)", "exact_form": "(1/2) Re Tr rho_pair(H)", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / INTERNAL RETURN OBSERVABLE; NOT PHYSICAL AUTOCORRELATION", "next_gate": "empirical carrier/measurement map", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "C_ret(H)", "reconciliation_notes": "" }, { "id": "Q59", "symbol": "Cbar_ret^(600,S3)", "exact_form": "0", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT", "next_gate": "protected report/measurement bridge", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "Cbar_ret^(600,S3)", "reconciliation_notes": "" }, { "id": "Q60", "symbol": "Cbar_ret^(600,Z2corr)", "exact_form": "2/5", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / INTERNAL CONNECTION FINGERPRINT; COLLISION-GUARDED", "next_gate": "protected report/measurement bridge", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "Cbar_ret^(600,Z2corr)", "reconciliation_notes": "COLLISION-06: same 2/5 value, distinct roles" }, { "id": "Q61", "symbol": "P_Bell^proxy([H])", "exact_form": "{1,0,1/4} for {e,t,r}", "claim_bin": "EXACT_PROXY", "status": "AUTO_LOCK / IDEAL PROXY; NOT EMPIRICAL DATA", "next_gate": "apparatus qualification under independent uncertainty", "use_class": "PROXY", "claim_bin_meaning": "Exact in a declared proxy/idealization; does not establish a natural or physical carrier.", "display_symbol": "P_Bell^proxy([H])", "reconciliation_notes": "" }, { "id": "Q62", "symbol": "Tr P3([H])", "exact_form": "{3,1,0} for {e,t,r}", "claim_bin": "EXACT_PROXY", "status": "AUTO_LOCK / IDEAL PROXY; NOT NATURAL CARRIER PROOF", "next_gate": "apparatus qualification or endogenous carrier theorem", "use_class": "PROXY", "claim_bin_meaning": "Exact in a declared proxy/idealization; does not establish a natural or physical carrier.", "display_symbol": "Tr P3([H])", "reconciliation_notes": "" }, { "id": "Q63", "symbol": "K_ctx(alpha,beta)", "exact_form": "Tr(sigma_E V_beta^dagger V_alpha)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / microscopic packet source open", "next_gate": "derive V_alpha from Omega0 / packet transport / holonomy", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_ctx(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q64", "symbol": "Gamma(alpha,beta)", "exact_form": "\\|K_ctx(alpha,beta)\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / resolves prior abstract Gamma form at bridge level", "next_gate": "microscopic packet derivation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q65", "symbol": "D_dec(alpha,beta)", "exact_form": "-ln Gamma(alpha,beta)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / Gamma>0; +infinity at zero", "next_gate": "derive elementary contact overlap from packet dynamics", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "D_dec(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q66", "symbol": "V_slit", "exact_form": "Gamma_LR", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / balanced equal-envelope idealization", "next_gate": "packet-level context overlap prediction", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "V_slit", "reconciliation_notes": "" }, { "id": "Q67", "symbol": "C_Bell", "exact_form": "Gamma", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / pure-dephasing Bell family", "next_gate": "packet-level context overlap prediction", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "C_Bell", "reconciliation_notes": "" }, { "id": "Q68", "symbol": "S_CHSH,max(Gamma)", "exact_form": "2 sqrt(1+Gamma^2)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / not a novel Bell bound", "next_gate": "derive Gamma from packet dynamics before UD-specific prediction", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "S_CHSH,max(Gamma)", "reconciliation_notes": "" }, { "id": "Q69", "symbol": "sigma_pair^*", "exact_form": "I_2/2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / unbiased full-S3 context condition", "next_gate": "derive whether physical packet context realizes full pairing-unbiased state", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "sigma_pair^*", "reconciliation_notes": "" }, { "id": "Q70", "symbol": "K_pair(alpha,beta)", "exact_form": "(1/2) Tr rho_pair(H_beta^-1 alpha)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / gauge-invariant relative-loop kernel", "next_gate": "physical branch-to-relative-holonomy map", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_pair(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q71", "symbol": "Gamma_pair([H])", "exact_form": "{1,0,1/2} for {e,t,r}", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / discrete topological coherence factor", "next_gate": "continuous context factor derivation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_pair([H])", "reconciliation_notes": "" }, { "id": "Q72", "symbol": "D_pair([H])", "exact_form": "{0,+infinity,ln(2)} for {e,t,r}", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / topological burden", "next_gate": "combine with continuous packet burden", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "D_pair([H])", "reconciliation_notes": "" }, { "id": "Q73", "symbol": "S_CHSH,max^(pair,3cycle)", "exact_form": "sqrt(5)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / collision-guarded bridge value", "next_gate": "actual physical branch-to-holonomy mapping", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "S_CHSH,max^(pair,3cycle)", "reconciliation_notes": "" }, { "id": "Q74", "symbol": "Gamma_total", "exact_form": "Gamma_pair Gamma_cont", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / continuous factor source-open", "next_gate": "derive Gamma_cont from packet/transport dynamics", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_total", "reconciliation_notes": "" }, { "id": "Q75", "symbol": "Gamma_pair,N", "exact_form": "0 or 2^(-m), m in N_0", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / continuum no-go witness", "next_gate": "derive non-pairing continuous context channel", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "Gamma_pair,N", "reconciliation_notes": "" }, { "id": "Q76", "symbol": "K_chain(alpha,beta)", "exact_form": "cos(Delta phi_chain)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / branch-to-s map open", "next_gate": "derive physical branch history -> s_alpha", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_chain(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q77", "symbol": "Gamma_chain(alpha,beta)", "exact_form": "\\|cos(Delta phi_chain)\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / spans [0,1]", "next_gate": "derive branch-to-chain-phase map", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_chain(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q78", "symbol": "D_chain(alpha,beta)", "exact_form": "-ln\\|cos(Delta phi_chain)\\|", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / finite away from cosine zeros", "next_gate": "derive physical chain-phase increments", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "D_chain(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q79", "symbol": "D_chain^(small phase)", "exact_form": "(1/2) sum_r (Delta phi_r)^2 + (1/12) sum_r (Delta phi_r)^4 + O(Delta phi^6)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / local small-phase regime only", "next_gate": "derive distribution/history of Delta phi_r", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "D_chain^(small phase)", "reconciliation_notes": "" }, { "id": "Q80", "symbol": "Gamma_pair+chain", "exact_form": "Gamma_pair \\|cos(Delta phi_chain)\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / physical branch phase map open", "next_gate": "derive physical branch-to-holonomy and branch-to-chain-phase maps", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_pair+chain", "reconciliation_notes": "" }, { "id": "Q81", "symbol": "Delta Phi_E(alpha,beta)", "exact_form": "Arg[u(P_beta)^(-1) u(P_alpha)] mod 2pi", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / context-side phase receipt; system/context typing enforced", "next_gate": "derive concrete packet context forcing that generates Phi_E", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Delta Phi_E(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q82", "symbol": "n_seam->chain", "exact_form": "+1 or -1", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / orientation convention, not tunable continuous coefficient", "next_gate": "none for cosine kernel; signed orientation matters only if a later oriented observable is introduced", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "n_seam->chain", "reconciliation_notes": "" }, { "id": "Q83", "symbol": "phi_chain(P_alpha)", "exact_form": "n_seam->chain Phi_E(P_alpha) mod 2pi; s_alpha=n_seam->chain Phi_E(P_alpha)/2 mod pi", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / normalization closed; context sourcing open", "next_gate": "derive Phi_E from packet apparatus/environment interaction", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "phi_chain(P_alpha)", "reconciliation_notes": "" }, { "id": "Q84", "symbol": "K_seam->chain(alpha,beta)", "exact_form": "cos(Delta Phi_E(alpha,beta))", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / apparatus context phase source remains open", "next_gate": "derive E_theta_env / packet context-phase forcing", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_seam->chain(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q85", "symbol": "R_E,alpha", "exact_form": "P_perp(rho_E,alpha^post-rho_E^0)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / context record, not new packet dynamics", "next_gate": "derive apparatus-specific postinteraction burden state from current packet engine", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "R_E,alpha", "reconciliation_notes": "" }, { "id": "Q86", "symbol": "J_E,alpha", "exact_form": "-(1/4) D^T R_E,alpha", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / structural current representation", "next_gate": "apparatus-specific burden record generation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "J_E,alpha", "reconciliation_notes": "" }, { "id": "Q87", "symbol": "K_B(alpha,beta)", "exact_form": "(R_E,beta^T R_E,alpha)/(\\|\\|R_E,beta\\|\\| \\|\\|R_E,alpha\\|\\|)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / requires nonzero records", "next_gate": "derive null-record and magnitude-sensitive completion", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_B(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q88", "symbol": "Gamma_B(alpha,beta)", "exact_form": "\\|K_B(alpha,beta)\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / spans [0,1] for nonzero record directions", "next_gate": "magnitude/null-record completion and apparatus source model", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_B(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q89", "symbol": "Gamma_pair+B", "exact_form": "Gamma_pair Gamma_B", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / E_theta_env not required for magnitude channel", "next_gate": "derive apparatus-specific burden record; phase-sensitive E_theta_env remains separate", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_pair+B", "reconciliation_notes": "" }, { "id": "Q90", "symbol": "Delta q_B(alpha,beta)", "exact_form": "ln(\\|\\|R_E,alpha\\|\\|/\\|\\|R_E,beta\\|\\|)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / nonzero records only", "next_gate": "smooth null/absolute capacity normalization", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "Delta q_B(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q91", "symbol": "M_RB(alpha,beta)", "exact_form": "sech(Delta q_B)=2\\|\\|R_a\\|\\|\\|\\|R_b\\|\\|/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / equals 1 for equal magnitudes and tends to 0 for extreme ratios", "next_gate": "smooth null completion", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "M_RB(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q92", "symbol": "K_RB(alpha,beta)", "exact_form": "2 R_a^T R_b/(\\|\\|R_a\\|\\|^2+\\|\\|R_b\\|\\|^2)=M_RB (u_a^T u_b)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / nonzero burden records; common-scale invariant", "next_gate": "physical null completion / apparatus burden-record generation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_RB(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q93", "symbol": "Gamma_RB(alpha,beta)", "exact_form": "\\|K_RB(alpha,beta)\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / nonzero records; spans [0,1]", "next_gate": "smooth null completion and apparatus source model", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_RB(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q94", "symbol": "Gamma_pair+RB", "exact_form": "Gamma_pair sech(Delta q_B)\\|u_a^T u_b\\|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / nonzero burden records", "next_gate": "physical burden-record generation and null completion", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Gamma_pair+RB", "reconciliation_notes": "" }, { "id": "Q95", "symbol": "Sigma_B^0", "exact_form": "Cov_0[(1/M_B) sum_c r_c] = (1/M_B^2) sum_cd Cov_0(r_c,r_d)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / state- and scale-dependent baseline, not universal coefficient", "next_gate": "generate from target-blind packet simulation or apparatus null calibration", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Sigma_B^0", "reconciliation_notes": "" }, { "id": "Q96", "symbol": "epsilon_B^2", "exact_form": "(1/3) Tr Sigma_B^0 when null context is S4-unbiased", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / changes with scale and context state", "next_gate": "measure/derive scale flow of Sigma_B^0", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "epsilon_B^2", "reconciliation_notes": "" }, { "id": "Q97", "symbol": "K_scale,B(alpha,beta)", "exact_form": "2[1+R_a^T(Sigma_B^0)^-1R_b]/[2+R_a^T(Sigma_B^0)^-1R_a+R_b^T(Sigma_B^0)^-1R_b]", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / positive null covariance required", "next_gate": "empirical/simulation coarse-scale flow test", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K_scale,B(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q98", "symbol": "chi_B^2(alpha,beta)", "exact_form": "(R_a-R_b)^T(Sigma_B^0)^-1(R_a-R_b)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / chi=1 is an operational resolution crossing, not collapse law", "next_gate": "derive/test monotonic scale flow for concrete contexts", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "chi_B^2(alpha,beta)", "reconciliation_notes": "" }, { "id": "Q99", "symbol": "gamma_null^(bulk)", "exact_form": "1/2 in epsilon_M proportional M^(-gamma_null); equivalently epsilon_L proportional L^(-3/2)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / control model only", "next_gate": "compare against simulated/measured covariance flow", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "gamma_null^(bulk)", "reconciliation_notes": "" }, { "id": "Q100", "symbol": "gamma_null^(boundary)", "exact_form": "2/3 in epsilon_N3 proportional N3^(-2/3); equivalently epsilon_L proportional L^(-2)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / boundary-dominated control only", "next_gate": "compare against simulated/measured covariance flow", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "gamma_null^(boundary)", "reconciliation_notes": "" }, { "id": "Q101", "symbol": "g_ctx,B", "exact_form": "(Sigma_B^0)^-1", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / distinct type from spacetime metric", "next_gate": "derive any bridge to geometry only if independently justified", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "g_ctx,B", "reconciliation_notes": "" }, { "id": "Q102", "symbol": "C_nu^LCX", "exact_form": "q_B L_nabla = q_B B_nabla B_nabla^*", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / q_B state amplitude, covariance shape source-derived", "next_gate": "derive/test later-time covariance propagation and primitive source validity", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "C_nu^LCX", "reconciliation_notes": "" }, { "id": "Q103", "symbol": "corr_nn^LCX", "exact_form": "-1/4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / source-tick, after parallel transport", "next_gate": "test SA-018 in packet simulations or null apparatus data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "corr_nn^LCX", "reconciliation_notes": "" }, { "id": "Q104", "symbol": "Sigma_B^LCX", "exact_form": "q_B \\|partial_E B\\|/M_B^2 I3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / flat common-frame block or covariantly trivialized block", "next_gate": "extend to nontrivial connection/holonomy coarse blocks", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Sigma_B^LCX", "reconciliation_notes": "" }, { "id": "Q105", "symbol": "gamma_null^LCX", "exact_form": "2/3 in epsilon_M proportional M^(-2/3)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / promoted from control only under SA-018", "next_gate": "test primitive exchange source and connection effects", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "gamma_null^LCX", "reconciliation_notes": "" }, { "id": "Q106", "symbol": "epsilon_L^LCX/epsilon_cell", "exact_form": "1/(2sqrt(3)) L^(-2)", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / q_B cancels", "next_gate": "simulation/empirical scale-flow test under SA-018", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "epsilon_L^LCX/epsilon_cell", "reconciliation_notes": "" }, { "id": "Q107", "symbol": "f(Delta4)", "exact_form": "(5,10,10,5)", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK / mathematical event geometry only", "next_gate": "none for combinatorics; physical spacetime mapping remains separate", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "f(Delta4)", "reconciliation_notes": "" }, { "id": "Q108", "symbol": "r_5seat^(S5)", "exact_form": "beta/alpha = 3/2", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK / not a physical coupling", "next_gate": "physical action/dynamics bridge if ever promoted", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "r_5seat^(S5)", "reconciliation_notes": "" }, { "id": "Q109", "symbol": "lambda_L(T5)\\|_W5", "exact_form": "8", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / response-edge local-exchange source geometry", "next_gate": "derive physical exchange-rate amplitude", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "lambda_L(T5)\\|_W5", "reconciliation_notes": "" }, { "id": "Q110", "symbol": "Mhat_5, Mhat_10", "exact_form": "Mhat_5=I5; Mhat_10=I10", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / shape closed, rate open", "next_gate": "derive mu_t and fluctuation-dissipation bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Mhat_5, Mhat_10", "reconciliation_notes": "" }, { "id": "Q111", "symbol": "corr_edge_nn", "exact_form": "-1/6", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / source-law conditional, not empirical", "next_gate": "source validation / physical rate bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "corr_edge_nn", "reconciliation_notes": "" }, { "id": "Q112", "symbol": "k_event^(S5-neutral)", "exact_form": "(6/5) kappa_loop", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / master kappa_loop remains source-open", "next_gate": "derive master loop normalization G05", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "k_event^(S5-neutral)", "reconciliation_notes": "" }, { "id": "Q113", "symbol": "lambda_E", "exact_form": "kappa_loop", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / master kappa_loop remains source-open", "next_gate": "derive master loop normalization G05", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "lambda_E", "reconciliation_notes": "" }, { "id": "Q114", "symbol": "lambda_E/k_event", "exact_form": "5/6", "claim_bin": "DERIVED_STRUCTURAL", "status": "AUTO_LOCK / source-addendum conditional", "next_gate": "validate constitutive action; no coefficient fit", "use_class": "CURRENT_DERIVED", "claim_bin_meaning": "Derived from current internal structure; usable structurally, with physical interpretation separately gated.", "display_symbol": "lambda_E/k_event", "reconciliation_notes": "" }, { "id": "Q115", "symbol": "spec(K_B/kappa_loop)=spec(K_C/kappa_loop)", "exact_form": "{2/3,1,1,5/3,5/3}", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / positive for kappa_loop>0; not empirical spectrum", "next_gate": "derive/sign master kappa_loop and validate action source", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "spec(K_B/kappa_loop)=spec(K_C/kappa_loop)", "reconciliation_notes": "" }, { "id": "Q116", "symbol": "gamma_E^(FDT) [notation repair of prior mu_t]", "exact_form": "4 q_E / sigma_E^2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_REPAIR / supersedes interpreting prior mu_t symbol as dissipative-operator coefficient", "next_gate": "derive q_E and sigma_E^2; then divide by event stiffness k to obtain co-adapted dissipative coefficient", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "gamma_E^(FDT) [notation repair of prior mu_t]", "reconciliation_notes": "" }, { "id": "Q117", "symbol": "sigma_E^2", "exact_form": "1/10", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / normalized mathematical null ensemble", "next_gate": "physical source/measurement bridge if desired", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "sigma_E^2", "reconciliation_notes": "" }, { "id": "Q118", "symbol": "q_E", "exact_form": "1/30 per unit normalized response-jump parameter", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / dimensionless jump-count normalization", "next_gate": "physical clock bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "q_E", "reconciliation_notes": "" }, { "id": "Q119", "symbol": "gamma_E", "exact_form": "4/3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / per unit normalized Poisson jump-count parameter", "next_gate": "map event parameter to physical time", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "gamma_E", "reconciliation_notes": "COLLISION-02: same rational value, different types" }, { "id": "Q120", "symbol": "mu_Y^(overdamped response)", "exact_form": "gamma_E/k_Y; 32/99 only if k_Y=33/8", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_REPAIR / full 10D cotangent damping remains separate", "next_gate": "derive full phase-space stochastic/dissipative bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "mu_Y^(overdamped response)", "reconciliation_notes": "" }, { "id": "Q121", "symbol": "X_evt,3 \u2243_sympl X_qm", "exact_form": "(W3_Q\u2295W3_P) symplectically S4-equivalent to (V3_q\u2295V3_m)", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK / dynamical identity separate", "next_gate": "SA-023 Hamiltonian identity", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "X_evt,3 \u2243_sympl X_qm", "reconciliation_notes": "" }, { "id": "Q122", "symbol": "c_bridge^2", "exact_form": "c^2=5/(4 kappa_loop)=4 b_E/11; reduces to 4/11 only if b_E=1 and kappa_loop=55/16", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_REPAIR CONDITIONAL / cotangent kinetic normalization explicit", "next_gate": "derive b_E or a canonical action-unit normalization", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "c_bridge^2", "reconciliation_notes": "" }, { "id": "Q123", "symbol": "kappa_loop^(SA023)", "exact_form": "kappa_loop b_E=55/16; equivalently kappa_loop=55/(16 b_E)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "HISTORICAL CONDITIONAL NORMALIZATION BRANCH / b_E=1 required", "next_gate": "do not promote; compare with self-dual SA-024 branch", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "kappa_loop^(SA023)", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q124", "symbol": "s_rec^(evt,3)", "exact_form": "4 pi sqrt(2/33)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / internal parameter only", "next_gate": "physical clock bridge; do not identify with N4", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "s_rec^(evt,3)", "reconciliation_notes": "" }, { "id": "Q125", "symbol": "tau_E", "exact_form": "3/4", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK / not physical seconds", "next_gate": "physical clock bridge", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "tau_E", "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers" }, { "id": "Q126", "symbol": "C3_tet-center = tau_E", "exact_form": "3/4 = (4/3)^(-1)", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK", "next_gate": "none for mathematics", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "C3_tet-center = tau_E", "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers" }, { "id": "Q127", "symbol": "E_3,resp->att", "exact_form": "T_hat^(-1) o (F\\|_3)^(-1); \\|\\|E(Y)\\|\\|^2=(3/4)\\|\\|Y\\|\\|^2", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK / source-to-retained amplitude identity still open", "next_gate": "event amplitude/Hamiltonian identity", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "E_3,resp->att", "reconciliation_notes": "" }, { "id": "Q128", "symbol": "mu_Y^(-1)/k_Y", "exact_form": "3/4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / overdamped response scope only", "next_gate": "do not reuse for full cotangent damping without bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "mu_Y^(-1)/k_Y", "reconciliation_notes": "COLLISION-03: repeated 3/4 value on different carriers" }, { "id": "Q129", "symbol": "kappa_loop b_E", "exact_form": "55/16 under SA-021 + SA-023 Hamiltonian matching", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / b_E open; G05 not closed", "next_gate": "derive b_E", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "kappa_loop b_E", "reconciliation_notes": "" }, { "id": "Q130", "symbol": "b_E/a_E", "exact_form": "1", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / common frequency remains open", "next_gate": "SA-025 reversible frequency inheritance", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "b_E/a_E", "reconciliation_notes": "" }, { "id": "Q131", "symbol": "Q_10^(null)", "exact_form": "(4/15) I10", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / second-moment bridge only", "next_gate": "physical stochastic model validation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "Q_10^(null)", "reconciliation_notes": "" }, { "id": "Q132", "symbol": "c_Kahler^2, omega_star", "exact_form": "c^2=sqrt(6/11); omega_star=sqrt(33/8)=sqrt(66)/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "none for internal mathematics; physical clock bridge separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "c_Kahler^2, omega_star", "reconciliation_notes": "" }, { "id": "Q133", "symbol": "kappa_loop^(selfdual candidate)", "exact_form": "5sqrt(66)/24", "claim_bin": "QUARANTINED_CANDIDATE", "status": "REPLAYABLE CONDITIONAL ONLY / SA-025 RETIRED", "next_gate": "requires future independent generator-pushforward theorem; not active", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "kappa_loop^(selfdual candidate)", "reconciliation_notes": "quarantined; blocked from settled mainline use" }, { "id": "Q134", "symbol": "mu_K^(selfdual phase space)", "exact_form": "8sqrt(66)/99", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / not physical inverse time", "next_gate": "SA-025 admission and physical clock bridge", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "mu_K^(selfdual phase space)", "reconciliation_notes": "" }, { "id": "Q135", "symbol": "C_10(s)", "exact_form": "(1/10)e^(-4s/3)e^(omega_E J10 s)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / second-moment equivalence only", "next_gate": "pathwise stochastic model remains separate", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "C_10(s)", "reconciliation_notes": "" }, { "id": "Q136", "symbol": "Delta L_hist", "exact_form": "sum_k (sigma_O,k + sigma_B,k + sigma_C,k)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK HISTORY SCALAR / SUFFICIENCY FOR CANONICAL ACTION OPEN", "next_gate": "test whether Delta L_hist can be refined/proved sufficient for typed lifted history {a_omega, Delta phi_tilde_omega} on a declared restricted domain", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Delta L_hist", "reconciliation_notes": "v0.40: O09 specifies the exact information a lossless compressed history statistic must preserve." }, { "id": "Q137", "symbol": "g_loop^normalized", "exact_form": "1 conditional on SA-026 and sigma_C=normalized loop obstruction", "claim_bin": "EXACT_CONDITIONAL", "status": "EXACT CONDITIONAL / NORMALIZED PATH COORDINATE ONLY / NOT UNIVERSAL ACTION", "next_gate": "scalar action conversion allowed only on a restricted domain after proving proportionality to O09; micro-to-sigma source map remains separately open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "g_loop^normalized", "reconciliation_notes": "v0.40: g_loop=1 cannot determine universal G05 or G06." }, { "id": "Q138", "symbol": "kappa_raw^(R)", "exact_form": "1/d_R conditional on SA-026 normalized loop action", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / not universal physical coupling", "next_gate": "none as bookkeeping; master action identity remains open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "kappa_raw^(R)", "reconciliation_notes": "ALIAS-01: same-symbol/same-form provenance duplicate" }, { "id": "Q139", "symbol": "omega_E", "exact_form": "NONIDENTIFIABLE from current geometry/second moments", "claim_bin": "OPEN_GAP", "status": "SCOPED NO-GO REFINED / INTERNAL GENERATOR-ACTION FORM RESOLVED; DIMENSIONAL ACTION SCALE STILL NONIDENTIFIABLE", "next_gate": "derive the dimensional native action anchor; do not reactivate retired self-dual numerical routes", "use_class": "OPEN_GAP", "claim_bin_meaning": "Current derivation/source is missing or nonidentifiable.", "display_symbol": "omega_E", "reconciliation_notes": "v0.40: internal generator/action-form obstruction narrowed; dimensional unit-scale nonidentifiability remains." }, { "id": "Q140", "symbol": "delta_U(U)", "exact_form": "1-ReTr(U)/d = \\|\\|I-U\\|\\|_F^2/(2d)", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK", "next_gate": "coarse-grain into breathing/obstruction variables", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "delta_U(U)", "reconciliation_notes": "" }, { "id": "Q141", "symbol": "delta_B(R)", "exact_form": "ln(1 + (1/2) R^T (Sigma_B^0)^(-1) R)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / null covariance state statistic required", "next_gate": "coarse-grain into sigma_B or other obstruction only through breathing map", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "delta_B(R)", "reconciliation_notes": "" }, { "id": "Q142", "symbol": "A_K^(BC)", "exact_form": "1/3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / orientation-even diagnostic", "next_gate": "do not identify directly with sigma_C", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "A_K^(BC)", "reconciliation_notes": "" }, { "id": "Q143", "symbol": "K_facecomp != sigma_C", "exact_form": "operator/scalar and micro/coarse type no-go; B,C isospectral while K_C-K_B=2 kappa_loop T5(t) is nonzero trace-free", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK", "next_gate": "derive micro precursor -> breathing response -> sigma_C", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "K_facecomp != sigma_C", "reconciliation_notes": "" }, { "id": "Q144", "symbol": "Xi_micro", "exact_form": "(delta_U, delta_B, normalized response operator/aniso, ...)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / coarse obstruction map remains open", "next_gate": "derive B:Xi_micro->Y_breathing and F:Y_breathing->Sigma", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Xi_micro", "reconciliation_notes": "" }, { "id": "Q145", "symbol": "Xi_defect -> Y_breathing no-go", "exact_form": "no unique map from normalized defect/shape precursors to full (S,B,P,K,g,V,R,Lambda)", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK", "next_gate": "derive positive flow/source receipts", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "Xi_defect -> Y_breathing no-go", "reconciliation_notes": "" }, { "id": "Q146", "symbol": "B_mu", "exact_form": "delta_B = ln(1 + (1/2)R^T(Sigma_B^0)^(-1)R)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / not aggregate breathing burden stock", "next_gate": "derive burden stock/flow aggregation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "B_mu", "reconciliation_notes": "" }, { "id": "Q147", "symbol": "K_mu", "exact_form": "Gamma=\\|K_{alpha beta}\\|", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / layer-level K_n identification open", "next_gate": "derive breathing-layer coherence aggregation", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "K_mu", "reconciliation_notes": "" }, { "id": "Q148", "symbol": "P_mu^tr", "exact_form": "delta_U = 1-ReTr(U)/d", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / not pressure stock", "next_gate": "derive flux imbalance / pressure law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "P_mu^tr", "reconciliation_notes": "" }, { "id": "Q149", "symbol": "V_mu^E", "exact_form": "5/6", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / event-scale precursor only", "next_gate": "derive general breathing V_n from packet redistribution flows", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "V_mu^E", "reconciliation_notes": "" }, { "id": "Q150", "symbol": "C_O,C_B,C_C monotonicity cones", "exact_form": "z_O=(B,P,-g,-R); z_B=(B,-V,M,I_inh); z_C=(-K,-R,Lambda,\\|gdot\\|)", "claim_bin": "LOCKED_SOURCE_STRUCTURE", "status": "AUTO_LOCK", "next_gate": "derive numerical F_O,F_B,F_C only after breathing flow laws", "use_class": "LOCKED_SOURCE_STRUCTURE", "claim_bin_meaning": "Source/flow structure is locked while constitutive numerical laws may remain open.", "display_symbol": "C_O,C_B,C_C monotonicity cones", "reconciliation_notes": "" }, { "id": "Q151", "symbol": "block continuity", "exact_form": "dX_S/dt = J_boundary + S_local", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "source actual support/burden fluxes and source/sink terms", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "block continuity", "reconciliation_notes": "" }, { "id": "Q152", "symbol": "F_O,F_B,F_C nonidentifiability", "exact_form": "dependency signs + F(0)=0 admit infinitely many monotone functions", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK", "next_gate": "derive flow/balance dynamics or independent target-blind calibration", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "F_O,F_B,F_C nonidentifiability", "reconciliation_notes": "" }, { "id": "Q153", "symbol": "Delta rho = B j_B + s_B", "exact_form": "Delta rho = incidence(edge burden flux) + local nonconservative source/sink", "claim_bin": "LOCKED_SOURCE_STRUCTURE", "status": "AUTO_LOCK / constitutive j_B and s_B laws open", "next_gate": "derive predictive edge-flux and source/sink constitutive laws", "use_class": "LOCKED_SOURCE_STRUCTURE", "claim_bin_meaning": "Source/flow structure is locked while constitutive numerical laws may remain open.", "display_symbol": "Delta rho = B j_B + s_B", "reconciliation_notes": "" }, { "id": "Q154", "symbol": "Delta B_S", "exact_form": "J_B,in - J_B,out + J_B,src+ - J_B,sink", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "tag positive source/sink subtypes", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Delta B_S", "reconciliation_notes": "" }, { "id": "Q155", "symbol": "R_redist, J_redist^gross", "exact_form": "R_redist=B_int j_int, 1^T R_redist=0; J_redist^gross=sum_eint \\|j_e\\|", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "derive constitutive internal flux law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "R_redist, J_redist^gross", "reconciliation_notes": "" }, { "id": "Q156", "symbol": "g_boundary^hard", "exact_form": "(1/\\|partial_E S\\|) sum_{e in boundary} h_e, h_e=C_cl^hard T_int^hard", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / smooth conductance open", "next_gate": "source soft margins or conductance amplitude", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "g_boundary^hard", "reconciliation_notes": "" }, { "id": "Q157", "symbol": "J_S^in factorization", "exact_form": "micro cell-core support ingress now exact from J23; recursive/coarse support ingress remains open-system bridge", "claim_bin": "OPEN_GAP", "status": "PASS at micro cell-core level / recursive S_n bridge open", "next_gate": "open-system support source/sink and coarse breathing semantics", "use_class": "OPEN_GAP", "claim_bin_meaning": "Current derivation/source is missing or nonidentifiable.", "display_symbol": "J_S^in factorization", "reconciliation_notes": "" }, { "id": "Q158", "symbol": "s_B residual receipt", "exact_form": "s_B = Delta rho - B j_B", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / predictive law open", "next_gate": "derive predictive tagged source law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "s_B residual receipt", "reconciliation_notes": "" }, { "id": "Q159", "symbol": "B_S^pkt", "exact_form": "sum_{i in S} rho_i", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / recursive breathing B_n identification remains bridge-level", "next_gate": "derive layer/block identification to breathing B_n", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "B_S^pkt", "reconciliation_notes": "" }, { "id": "Q160", "symbol": "breathing flow receipt closure status", "exact_form": "J_B,in PASS; J_B,src+ PARTIAL subtype; J_redist PASS; aggregate out/sink PASS; G_gate hard PASS; J_S,in PARTIAL", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "derive support carrier, source tags, and predictive constitutive fluxes", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "breathing flow receipt closure status", "reconciliation_notes": "" }, { "id": "Q161", "symbol": "w_face-slot^B", "exact_form": "1/4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / dimensionless attempt clock only", "next_gate": "physical time map if ever needed", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "w_face-slot^B", "reconciliation_notes": "" }, { "id": "Q162", "symbol": "j_B,e^mix", "exact_form": "-(1/4) h_e (B^T b)_e", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / relaxational burden lane only", "next_gate": "protected-mode projection and physical clock", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "j_B,e^mix", "reconciliation_notes": "" }, { "id": "Q163", "symbol": "K4 burden mixing", "exact_form": "j=(1/3)D^T rho_perp; dot rho_perp=-(4/3)rho_perp", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / not physical damping rate", "next_gate": "scope against protected reversible burden modes", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "K4 burden mixing", "reconciliation_notes": "" }, { "id": "Q164", "symbol": "xi_e^mix", "exact_form": "(1/4)h_e(S_ce^-1 b_c - S_de^-1 b_d)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK", "next_gate": "joint deterministic/stochastic model if both lanes are retained", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "xi_e^mix", "reconciliation_notes": "" }, { "id": "Q165", "symbol": "S_mu^rev", "exact_form": "\\|\\|c0\\|\\|^2+\\|\\|c1\\|\\|^2+\\|\\|c2\\|\\|^2+\\|\\|c3\\|\\|^2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / admitted micro support carrier", "next_gate": "global gluing/coarse recursive support bridge", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_mu^rev", "reconciliation_notes": "" }, { "id": "Q166", "symbol": "J_support^(01,12,23)", "exact_form": "2 B_k component_product between adjacent chain degrees", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "shared-face multi-cell gluing", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "J_support^(01,12,23)", "reconciliation_notes": "" }, { "id": "Q167", "symbol": "S_mu,H ; J_ie^S", "exact_form": "S_mu,H=\\|\\|x\\|\\|^2+\\|\\|H y\\|\\|^2; J_ie^S=2h_e D_ie x_i y_e", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / 64 binary masks verified", "next_gate": "gate-transition receipts and global support gluing", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_mu,H ; J_ie^S", "reconciliation_notes": "" }, { "id": "Q168", "symbol": "predictive burden/support closure status", "exact_form": "burden mixing PARTIAL/PREDICTIVE normalized; micro support PASS; coarse support OPEN", "claim_bin": "LOCKED_STATUS", "status": "UPDATED: normalized burden mixing + global micro support gluing/ownership closed; open-system recursive support remains", "next_gate": "glued multi-tetrahedron support continuity and coarse breathing stock bridge", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "predictive burden/support closure status", "reconciliation_notes": "" }, { "id": "Q169", "symbol": "A_K^global", "exact_form": "global skew Hodge-Dirac on unique C0\u2295C1\u2295C2\u2295C3 simplices", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK", "next_gate": "open-system support terms", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "A_K^global", "reconciliation_notes": "" }, { "id": "Q170", "symbol": "S_mu(R) Hasse control volume", "exact_form": "sum_{sigma in R} c_sigma^2; dS=J_in-J_out across incidence cut", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "choose/source recursive layer ownership semantics", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_mu(R) Hasse control volume", "reconciliation_notes": "" }, { "id": "Q171", "symbol": "S_tau^core, J23", "exact_form": "S_tau^core=c3_tau^2; dot S=sum_f 2 B3_f,tau c2_f c3_tau", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / micro support throughput closed", "next_gate": "open-system/coarse recursive support", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_tau^core, J23", "reconciliation_notes": "" }, { "id": "Q172", "symbol": "S_f^iface", "exact_form": "c2_f^2; dot S_f=sum_e J12_e,f - sum_tau J23_f,tau", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "only eliminate reservoir under explicit controlled approximation", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_f^iface", "reconciliation_notes": "" }, { "id": "Q173", "symbol": "J23^h", "exact_form": "2 h_f B3_f,tau c2_f c3_tau", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / 128 masks verified on A pair", "next_gate": "gate-transition receipt", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "J23^h", "reconciliation_notes": "" }, { "id": "Q174", "symbol": "Spec_support(A)", "exact_form": "0^1, (\u00b1i\u221a3)^4, (\u00b1i\u221a5)^7; f=(5,9,7,2)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "none for mathematics", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Spec_support(A)", "reconciliation_notes": "" }, { "id": "Q175", "symbol": "Spec_support(B)=Spec_support(C)", "exact_form": "0^1, (\u00b1i\u221a2)^2, (\u00b1i\u221a5)^11; f=(5,10,9,3)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "none for mathematics", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Spec_support(B)=Spec_support(C)", "reconciliation_notes": "" }, { "id": "Q176", "symbol": "global support recurrence", "exact_form": "no finite nonzero common period for A,B,C", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK", "next_gate": "independent synchronization/coarse clock theorem", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "global support recurrence", "reconciliation_notes": "" }, { "id": "Q177", "symbol": "w_sigma,tau^eq", "exact_form": "1/n3(sigma) for sigma subset tau", "claim_bin": "LOCKED_MATHEMATICAL_GEOMETRY", "status": "AUTO_LOCK", "next_gate": "open-system support semantics", "use_class": "CURRENT_LOCKED_GEOMETRY", "claim_bin_meaning": "Locked finite/discrete mathematical geometry; not automatically physical spacetime geometry.", "display_symbol": "w_sigma,tau^eq", "reconciliation_notes": "" }, { "id": "Q178", "symbol": "S_mu,tau^eq", "exact_form": "sum_{sigma subset tau} c_sigma^2/n3(sigma)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / admitted packet-cell micro support stock", "next_gate": "environment/dissipation/renewal source terms", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S_mu,tau^eq", "reconciliation_notes": "" }, { "id": "Q179", "symbol": "dot S_mu,tau^eq", "exact_form": "sum_{sigma\u2282eta}(w_eta,tau-w_sigma,tau) J_sigma,eta", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "open-system source/sink terms", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "dot S_mu,tau^eq", "reconciliation_notes": "" }, { "id": "O10", "symbol": "A_0^(native action unit)", "exact_form": "A_0 = B_0 a_0^2 / tau_0", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / NATIVE ACTION-DIMENSION UNIT OBJECT / B0 MASS-LIKE / NO SI IDENTIFICATION", "next_gate": "authorize native-to-physical unit mapping only after B_e/normalization provenance gates; B_0,a_0,tau_0 remain native unit anchors rather than empirical targets", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\mathcal A_0", "reconciliation_notes": "v0.43: A0=B0 a0^2/tau0; dimensional closure requires [B0]=M. Current physical action-ratio direction is eta_A=A0/hbar." }, { "id": "O11", "symbol": "A_spinor,rec^(native)", "exact_form": "pi A_0 = pi B_0 a_0^2 / tau_0, conditional on canonical native-unit lift S_native := A_0 I_loop->Hodge", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK CONDITIONAL / NATIVE UNIT-SPINOR RECURRENCE ACTION ANCHOR / NOT PHYSICAL h OR hbar", "next_gate": "compare only through a frozen native-to-physical unit bridge after G06 convention/provenance is resolved; no target backsolve", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\mathcal A_{\\rm spinor,rec}^{\\rm native}", "reconciliation_notes": "v0.41: O09 gives I_spinor=pi for a unit-support one-winding recurrence. Multiplication by the declared native action unit A_0 gives the parameter-free native dimensional anchor." }, { "id": "O12", "symbol": "xi_hbar^[phys/native]", "exact_form": "hbar/A_0; equivalently hbar = xi_hbar^[phys/native] A_0", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK AS EXPLICIT CONVENTION ALIAS / SOURCE-STRATUM SEMANTICS ONLY / NUMERICAL VALUE OPEN", "next_gate": "may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, convention alias, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\xi_\\hbar^{[\\rm phys/native]}", "reconciliation_notes": "v0.42 convention-qualified alias C1. Prevents silent reciprocal reuse." }, { "id": "O13", "symbol": "xi_hbar^[native/phys]", "exact_form": "A_0/hbar; equivalently A_0 = xi_hbar^[native/phys] hbar = 1/xi_hbar^[phys/native]", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK AS EXPLICIT RECIPROCAL CONVENTION ALIAS / SOURCE-STRATUM SEMANTICS ONLY / NUMERICAL VALUE OPEN", "next_gate": "may become canonical only via recovered provenance or explicit source amendment; physical unit map remains downstream", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, convention alias, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\xi_\\hbar^{[\\rm native/phys]}", "reconciliation_notes": "v0.42 convention-qualified alias C2. Exact reciprocal of O12." }, { "id": "O14", "symbol": "eta_A", "exact_form": "A_0/hbar; equivalently A_0 = eta_A hbar", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / CURRENT CANONICAL ACTION-RATIO DIRECTION / NUMERICAL VALUE OPEN / NO PHYSICAL PROMOTION", "next_gate": "derive/recover numerical native-to-physical action ratio target-blind and independently reconstruct primitive quantum-holonomy normalization before identifying eta_A with xi_act-related quantities", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, convention ratio, or family; must not be treated as a free theory coefficient.", "display_symbol": "\\eta_{\\mathcal A}", "reconciliation_notes": "v0.43 current canonical replacement for unqualified bare xi_hbar; historical xi conventions translate as eta_A and eta_A^(-1)." }, { "id": "O15", "symbol": "B_0^(native mass unit)", "exact_form": "[B_0]=M; required jointly by A_0=B_0 a_0^2/tau_0 and G_SI=gamma_G a_0^3/(B_0 tau_0^2)", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / MASS-LIKE NATIVE UNIT TYPE / ENERGY-TYPED B0 BRANCH FROZEN", "next_gate": "physical matter-anchor identity and numerical B_e remain downstream/open", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, unit object, convention ratio, or family; must not be treated as a free theory coefficient.", "display_symbol": "B_0", "reconciliation_notes": "v0.43 dimensional repair from ACTION_UNIT_XI_HBAR_RECIPROCAL_AND_B0_DIMENSION_REPAIR_v0.1." }, { "id": "Q180", "symbol": "PSR(c)", "exact_form": "({rho_sigma},{chi_sigma,tau}_F,{epsilon_C})", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / SUFFICIENT PROJECTIVE SUPPORT RECEIPT ON NONZERO CHAIN STATE", "next_gate": "same-carrier acquisition of the required stock/current/root-sign receipt", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "PSR(c)", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0" }, { "id": "Q181", "symbol": "R_PSR(PSR(c))", "exact_form": "c/sqrt(S_mu(c))", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT POSITIVE-RAY RECONSTRUCTION THEOREM", "next_gate": "physical preparation/measurement realization and independent held-out test", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "R_PSR(PSR(c))", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0" }, { "id": "Q182", "symbol": "receipt-only chain-ray identifiability", "exact_form": "{event/route/lineage receipts + all Hasse currents + S_mu} not=> [c]", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / PARITY-DEGREE GAUGE WITNESS", "next_gate": "reopen only with an independently sufficient support receipt such as PSR", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "receipt-only chain-ray identifiability", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_RAY; physical promotion 0" }, { "id": "Q183", "symbol": "PSR_pre acquisition algebra", "exact_form": "q_sigma=c_sigma^2; chi=sgn(BJ); q_r^+-q_r^-=4 alpha c_r", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL ALGEBRA / CANDIDATE MEASUREMENT BRIDGE", "next_gate": "real simplex-resolved stock/current telemetry and calibrated restore-equivalent root probe", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "PSR_pre acquisition algebra", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PRE; physical promotion 0" }, { "id": "Q184", "symbol": "PSR A->B->C covariance", "exact_form": "R_C(PSR(PTc))=PT R_A(PSR(c)); R_C(PSR(Pc))=P R_B(PSR(c))", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT EVENT-RAY COVARIANCE", "next_gate": "same-carrier empirical implementation; A->B vulnerable dynamical residual remains separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "PSR A->B->C covariance", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ABC; physical promotion 0" }, { "id": "Q185", "symbol": "PSR forest-choice gauge", "exact_form": "R_C(PSR_C^mapped)=R_C(PSR_C^canonical)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FOREST SERIALIZATION GAUGE EQUIVALENCE", "next_gate": "none for ray reconstruction; transport serializers must preserve provenance", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "PSR forest-choice gauge", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ABC; physical promotion 0" }, { "id": "Q186", "symbol": "PSR schema integrity vs source authenticity", "exact_form": "PSR_SCHEMA_PASS not=> intended external source state", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / COHERENT ALTERNATE-STATE WITNESS", "next_gate": "trusted source authentication / independent state-identity channel", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "PSR schema integrity vs source authenticity", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_ROBUST; physical promotion 0" }, { "id": "Q187", "symbol": "PSR authenticated interval receipt", "exact_form": "AUTH_PASS -> uncertainty feasibility -> ray enclosure", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / SOURCE-AUTHENTICATION + UNCERTAINTY INTERFACE", "next_gate": "real calibration certificates, trusted signer, same-carrier held-out acquisition", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "PSR authenticated interval receipt", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_AUTH; physical promotion 0" }, { "id": "Q188", "symbol": "PSR log-linear magnitude feasibility", "exact_form": "2 ln(J_min/2) <= x_sigma+x_tau <= 2 ln(J_max/2), x_sigma=ln q_sigma", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT POSITIVE-SUPPORT INTERVAL FEASIBILITY TRANSFORM", "next_gate": "empirical interval source/coverage validation; zero-crossing cases remain indeterminate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "PSR log-linear magnitude feasibility", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_AUTH; physical promotion 0" }, { "id": "Q189", "symbol": "K4 PSR Hasse train/holdout split", "exact_form": "28 = 14_train + 14_holdout", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / FULL-SUPPORT FILLED-K4 INTRINSIC SPLIT", "next_gate": "real same-carrier acquisition with frozen deterministic tree and hidden complement", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "K4 PSR Hasse train/holdout split", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_SAME; physical promotion 0" }, { "id": "Q190", "symbol": "I_sigma,tau^pred", "exact_form": "range_{c in F_PSR}(2 B_sigma,tau c_sigma c_tau)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / PRETARGET HELD-OUT CURRENT PREDICTION SET", "next_gate": "authenticated held-out measurement and independent joint-compatibility scorer", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "I_sigma,tau^pred", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_SAME; physical promotion 0" }, { "id": "Q191", "symbol": "rho_sigma^(opt)", "exact_form": "P_sigma/P_science", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / COHERENT-PHOTONIC PSR SUPPORT MAP", "next_gate": "device-specific detector/source calibration and held-out realization", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "rho_sigma^(opt)", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PLATFORM; physical promotion 0" }, { "id": "Q192", "symbol": "J_sigma,tau^(opt)", "exact_form": "B_sigma,tau (P_+-P_-)/P_science = 2 B_sigma,tau c_hat_sigma c_hat_tau", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / BALANCED-INTERFERENCE HASSSE-BILINEAR MAP", "next_gate": "device-specific 50:50 analyzer calibration, phase reference, uncertainty, held-out test", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "J_sigma,tau^(opt)", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_PLATFORM; physical promotion 0" }, { "id": "Q193", "symbol": "PSR optical root probe", "exact_form": "q_r^+-q_r^- = 4 alpha_cert c_r after calibrated 50:50 root/aux normalization", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / MATCHED COHERENT ROOT-SIGN MAP", "next_gate": "mode-17 amplitude/phase calibration and restore/stationarity certificate", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "PSR optical root probe", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0" }, { "id": "O16", "symbol": "PSR optical logical-mode contract", "exact_form": "m1-15 science; m16 reference; m17 root auxiliary; m18-20 calibration/guard", "claim_bin": "NOT_A_COEFFICIENT", "status": "AUTO_LOCK / FROZEN 20-MODE IMPLEMENTATION MAP", "next_gate": "serial-device binding and calibration; no target-aware remap", "use_class": "NON_COEFFICIENT", "claim_bin_meaning": "State, input, constraint, map, or family; must not be treated as a free theory coefficient.", "display_symbol": "PSR optical logical-mode contract", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0" }, { "id": "O17", "symbol": "PSR optical pretarget freeze", "exact_form": "SHA256 126aa44b4a034d9b4c3d2dc02a6c372659cd3cbe905f1d0b22f877d3e2aa4812", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PRETARGET IMPLEMENTATION CORE FROZEN", "next_gate": "device-session source bundle must validate before acquisition", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "PSR optical pretarget freeze", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_OPTICAL; physical promotion 0" }, { "id": "O18", "symbol": "PSR QuiX Alquor20 model/lab binding", "exact_form": "PUBLIC_MODEL_BINDING=PASS; SERIAL_DEVICE_SESSION=OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK MODEL/LAB BINDING / ACQUISITION BLOCKED", "next_gate": "real device serial, firmware/configuration, detector/source/phase/stationarity certificates", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "PSR QuiX Alquor20 model/lab binding", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_QUIX; physical promotion 0" }, { "id": "O19", "symbol": "PSR device-session authorization gate", "exact_form": "schema \u2227 source_complete \u2227 device_contract \u2227 frozen_hashes \u2227 cert_hashes \u2227 trusted_attestation", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / FAIL-CLOSED INTAKE VALIDATOR", "next_gate": "real QuiX/lab trust anchor and signed calibration/session return", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "PSR device-session authorization gate", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_VALIDATOR; physical promotion 0" }, { "id": "O20", "symbol": "PSR real optical acquisition authorization", "exact_form": "FALSE / BLOCKED_PENDING_REAL_DEVICE_SESSION_BUNDLE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK CURRENT STATUS / NO REAL HELD-OUT OPTICAL RESULT", "next_gate": "validator must return ACQUISITION_AUTHORIZED on a real source bundle", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "PSR real optical acquisition authorization", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_VALIDATOR; physical promotion 0" }, { "id": "O21", "symbol": "PSR vendor/lab attestation handoff", "exact_form": "VENDOR_HANDOFF_READY / PUBLIC-KEY-ONLY TRUST ENROLLMENT / HELDOUT DATA EXCLUDED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / EXTERNAL SOURCE-HANDOFF CONTRACT READY", "next_gate": "vendor/lab response with real calibration evidence; then validator intake", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "PSR vendor/lab attestation handoff", "reconciliation_notes": "PSR experimental-bridge stack v0.44; source=SRC_PSR_HANDOFF; physical promotion 0" }, { "id": "Q194", "symbol": "receipt-index continuation-map cancellation", "exact_form": "ind F_n = dim L_n^- - dim L_n^+", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / NET Hamming budget independent of continuation-map rank", "next_gate": "derive native source construction of L_n^- and L_n^+", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "receipt-index continuation-map cancellation", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q195", "symbol": "minimal receipt-index net budget", "exact_form": "mu_Theta,n = dim L_n^- - dim L_n^+", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SOURCE-COMPLETE PRE-EVENT NET POLARITY AND MULTIPLICITY LAW", "next_gate": "held-out endpoint validation on independently sourced receipt-complete events", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "minimal receipt-index net budget", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q196", "symbol": "receipt-index closure-capacity change", "exact_form": "Delta D_cl,n = -2 mu_Theta,n", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NET CLOSURE POLARITY", "next_gate": "same held-out event test", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "receipt-index closure-capacity change", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q197", "symbol": "three-pair burden endpoint selector", "exact_form": "argmin_{theta in A_k(T)} sum_p theta_p W_p^B2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / EXACT THREE-PAIR ADDRESS SELECTOR WITH HOLD ON TIES", "next_gate": "held-out exact address validation", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "three-pair burden endpoint selector", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q198", "symbol": "constitutive receipt-index event operator E_n^RI", "exact_form": "(theta_bar^-,L^-,L^+,T,W^B2) -> theta^+ or HOLD/INFEASIBLE", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / SOURCE-COMPLETE CONDITIONAL CONSTITUTIVE OPERATOR", "next_gate": "independent target-blind joint replay", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "constitutive receipt-index event operator E_n^RI", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q199", "symbol": "net/gross parity event identities", "exact_form": "|c|-|o|=mu_Theta; |c|+|o|=w_H(a)", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / DIRECTED NET AND GROSS MULTIPLICITY IDENTITIES", "next_gate": "none internally; empirical receipt validation downstream", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "net/gross parity event identities", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q200", "symbol": "lineage provenance from net budget", "exact_form": "{dim L^-,dim L^+,mu,endpoint} not=> predecessor/source-renewal provenance", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTINUATION CANCELLATION DOES NOT IDENTIFY LINEAGE", "next_gate": "independent predecessor/lineage receipts required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "lineage provenance from net budget", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "O22", "symbol": "signed-support polarity lane under receipt-index availability", "exact_form": "SECONDARY_DIAGNOSTIC_ONLY; may not override mu_Theta^RI", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PRIMARY SOURCE PRECEDENCE REPAIRED", "next_gate": "test equality mu_RI = mu_sign as independent falsifier", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "signed-support polarity lane under receipt-index availability", "reconciliation_notes": "v0.45 constitutive receipt-index patch; physical promotion 0" }, { "id": "Q201", "symbol": "pair hard integrity T_p^pair", "exact_form": "product_{e in M_p} T_int,e^hard", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / pair viability derived from edge integrity", "next_gate": "none internally", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "pair hard integrity T_p^pair", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q202", "symbol": "latent pair support Lambda_p^pair", "exact_form": "sum_{e in M_p} 2|c1,e|(|c0,i|+|c0,j|)", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / pre-gate reopening-visible pair activity", "next_gate": "empirical/source acquisition if used constitutively", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "latent pair support Lambda_p^pair", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q203", "symbol": "gated-route obligation-source no-go", "exact_form": "theta_p=1 can imply Phi_e^S=0 for all e in M_p while Lambda_p^pair>0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / gated flow reopening blind", "next_gate": "use a pre-gate source for reopening-aware constitutive work", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "gated-route obligation-source no-go", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q204", "symbol": "latent obligation receipt omega_p^lat", "exact_form": "T_p^pair * 1[Lambda_p^pair>0]", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / source-bound binary latent receipt", "next_gate": "constitutive interpretation separately gated", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "latent obligation receipt omega_p^lat", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q205", "symbol": "POC-1 obligation saturation", "exact_form": "1-theta_tau = omega_tau^lat", "claim_bin": "QUARANTINED_CANDIDATE", "status": "PREREGISTERED CONSTITUTIVE CANDIDATE / NOT INTERNAL THEOREM", "next_gate": "held-out previous-event saturation and endpoint tests", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "POC-1 obligation saturation", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q206", "symbol": "POC-1 obligation spaces", "exact_form": "L^- = span{e_p:omega_p(tau)=1}; L^+ = span{e_p:omega_p(n*)=1}", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL ON POC-1", "next_gate": "independent event replay", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "POC-1 obligation spaces", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q207", "symbol": "POC-1 first-change trigger", "exact_form": "n*=min{n>tau: omega_n^lat != omega_tau^lat}", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ZERO-THRESHOLD TRIGGER", "next_gate": "independent event replay", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "POC-1 first-change trigger", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q208", "symbol": "POC-1 endpoint", "exact_form": "theta^+ = 1-omega_n*^lat", "claim_bin": "QUARANTINED_CANDIDATE", "status": "PREREGISTERED PAIR-ADDRESSED CONSTITUTIVE PREDICTOR", "next_gate": "held-out exact endpoint test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "POC-1 endpoint", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q209", "symbol": "POC-1 S4 covariance", "exact_form": "omega^lat -> P_pi(g) omega^lat", "claim_bin": "EXACT_INTERNAL", "status": "AUTO_LOCK / EXACT COVARIANCE", "next_gate": "none internally", "use_class": "CURRENT_EXACT", "claim_bin_meaning": "Exact consequence of declared current internal objects; no physical alias follows automatically.", "display_symbol": "POC-1 S4 covariance", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q210", "symbol": "closed-carrier obligation nonidentifiability", "exact_form": "current exact closed packet/support/route variables do not force omega^lat to be an output obligation", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONSTITUTIVE SEMANTICS STILL REQUIRED", "next_gate": "held-out test or stronger source theorem", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "closed-carrier obligation nonidentifiability", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "O23", "symbol": "burden optimizer under POC-1", "exact_form": "SECONDARY_DIAGNOSTIC; cannot overwrite pair-addressed obligation prediction", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / SOURCE PRECEDENCE UPDATED", "next_gate": "compare theta_POC1 to Theta_opt^B2 as independent diagnostic", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "burden optimizer under POC-1", "reconciliation_notes": "v0.46 primitive-obligation constructor patch; physical promotion 0" }, { "id": "Q211", "symbol": "public POC-1 corpus source-completeness no-go", "exact_form": "surveyed public corpora do not supply all frozen R1-R8 POC-1 source fields on native/pre-frozen types", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / NO PUBLIC SOURCE-COMPLETE POC-1 CORPUS IDENTIFIED", "next_gate": "purpose-built independent corpus or pre-frozen new correspondence before target exposure", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "public POC-1 corpus source-completeness no-go", "reconciliation_notes": "v0.47 POC-1 corpus-admissibility no-go; physical promotion 0" }, { "id": "O24", "symbol": "POC-1 public empirical score status", "exact_form": "NO_SCORE / SOURCE_ADMISSION_FAIL", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / EMPIRICAL VERDICT WITHHELD RATHER THAN PROXY-FITTED", "next_gate": "admit a corpus passing R1-R8 then execute frozen predictor", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 public empirical score status", "reconciliation_notes": "v0.47 POC-1 corpus-admissibility no-go; physical promotion 0" }, { "id": "O25", "symbol": "POC-1 native event bench carrier contract", "exact_form": "4 C0 + 6 C1 + 6 hard-integrity + 3 theta endpoint latches", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PURPOSE-BUILT NATIVE SOURCE CONTRACT FROZEN", "next_gate": "bind a real independent apparatus", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 native event bench carrier contract", "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0" }, { "id": "O26", "symbol": "POC-1 event-engine independence contract", "exact_form": "independent authoring + pretarget mechanism hash + no predictor read access", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / NONTAUTOLOGY CONTROL", "next_gate": "independent lab execution", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 event-engine independence contract", "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0" }, { "id": "O27", "symbol": "POC-1 endpoint custody order", "exact_form": "source packet < prediction freeze < endpoint release < score", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / BLIND ENDPOINT CUSTODY", "next_gate": "real run with independent custody", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 endpoint custody order", "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0" }, { "id": "Q212", "symbol": "POC-1 purpose-built endpoint test", "exact_form": "theta_hat^+ = 1-omega_lat; exact equality to hidden theta+", "claim_bin": "COMPUTED_BRIDGE", "status": "PRETARGET FROZEN / DETERMINISTIC HELD-OUT CONSTITUTIVE TEST", "next_gate": "independent purpose-built run", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "POC-1 purpose-built endpoint test", "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0" }, { "id": "O28", "symbol": "POC-1 purpose-built experiment status", "exact_form": "FROZEN_SPEC / REAL_RUN_NOT_EXECUTED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO EMPIRICAL CLAIM YET", "next_gate": "independent apparatus binding and execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 purpose-built experiment status", "reconciliation_notes": "v0.48 purpose-built POC-1 experiment preregistration; physical promotion 0" }, { "id": "O29", "symbol": "POC-1 lab hardware channel contract", "exact_form": "4 C0 + 6 independent C1 + 6 hard integrity + 3 endpoint latches", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / LAB IMPLEMENTATION CONTRACT READY", "next_gate": "real bench binding", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 lab hardware channel contract", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "O30", "symbol": "POC-1 timing/custody barrier", "exact_form": "calibration < engine commit < source seal < prediction freeze < endpoint release < score", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / TARGET-BLIND OFFLINE CUSTODY", "next_gate": "real lab custody verification", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 timing/custody barrier", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "Q213", "symbol": "interval-safe latent receipt implementation", "exact_form": "interval arithmetic -> omega_lat or SOURCE_INDETERMINATE; no epsilon", "claim_bin": "COMPUTED_BRIDGE", "status": "AUTO_LOCK / MEASUREMENT-SAFE POC-1 SOURCE MAP", "next_gate": "real calibration coverage", "use_class": "BRIDGE", "claim_bin_meaning": "Computed interface between typed layers; downstream/physical promotion remains gated.", "display_symbol": "interval-safe latent receipt implementation", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "Q214", "symbol": "real-time race requirement", "exact_form": "endpoint write need not follow prediction freeze; endpoint content release must follow freeze", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / REAL-TIME PREDICTOR RACE NOT REQUIRED FOR TARGET BLINDNESS", "next_gate": "none; preserve custody separation", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "real-time race requirement", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "O31", "symbol": "independent engine input firewall", "exact_form": "engine receives neither omega_lat nor POC-1 prediction", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / NONTAUTOLOGY INTERFACE", "next_gate": "real engine qualification", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "independent engine input firewall", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "O32", "symbol": "POC-1 lab implementation authorization status", "exact_form": "IMPLEMENTATION_PACKET_READY / REAL_HARDWARE_UNBOUND", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO EMPIRICAL CLAIM", "next_gate": "bind real lab hardware and certificates", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 lab implementation authorization status", "reconciliation_notes": "v0.49 POC-1 mixed-signal lab implementation patch; physical promotion 0" }, { "id": "O33", "symbol": "POC-1 lab-response feasibility criteria", "exact_form": "F01-F12 frozen before UdeG/IPN reply ingestion", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / PRE-RESPONSE FEASIBILITY GATE", "next_gate": "score direct lab replies", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 lab-response feasibility criteria", "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0" }, { "id": "O34", "symbol": "POC-1 lab-response verdict rule", "exact_form": "NO=>NO_GO; UNKNOWN=>INCOMPLETE; CONDITIONAL=>CONDITIONAL; all YES=>PASS", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / CATEGORICAL SCORER", "next_gate": "apply to first-pass replies", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 lab-response verdict rule", "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0" }, { "id": "O35", "symbol": "POC-1 lab-response evidence rule", "exact_form": "direct lab evidence required; public capability evidence cannot upgrade UNKNOWN", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / ANTI-INFERENCE NORMALIZATION", "next_gate": "preserve reply provenance", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 lab-response evidence rule", "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0" }, { "id": "O36", "symbol": "POC-1 parallel-lab comparison rule", "exact_form": "multiple PASS labs remain independent paths; no cross-lab criterion mutation", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / REPLICATION PRESERVATION", "next_gate": "compare after separate first-pass freezes", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "POC-1 parallel-lab comparison rule", "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0" }, { "id": "O37", "symbol": "POC-1 external lab feasibility status", "exact_form": "UdeG=PENDING; IPN=PENDING; criteria frozen", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO FEASIBILITY RESULT YET", "next_gate": "ingest first direct responses", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "POC-1 external lab feasibility status", "reconciliation_notes": "v0.50 lab-response feasibility gate; physical promotion 0" }, { "id": "Q215", "symbol": "R_e latent-support witness", "exact_form": "c1,e^2(c0,i^2+c0,j^2); R_e>0 iff Lambda_e^S>0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / POLYNOMIAL ZERO-SET EQUIVALENT TO LATENT ACTIVITY", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "R_e latent-support witness", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q216", "symbol": "dot R_e", "exact_form": "2 c1,e dotc1,e(c0,i^2+c0,j^2)+2 c1,e^2(c0,i dotc0,i+c0,j dotc0,j) with Hodge substitutions", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT PRE-GATE LATENT-SUPPORT RATE", "next_gate": "empirical source acquisition only", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "dot R_e", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q217", "symbol": "L_p latent occupancy", "exact_form": "1[sum_{e in M_p} R_e > 0]", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT PAIR LATENT-SUPPORT RECEIPT", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "L_p latent occupancy", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q218", "symbol": "A_p,S_p viable-lane receipts", "exact_form": "A=(1-omega^-)omega^+; S=omega^-(1-omega^+)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT PAIR SOURCE-SINK RECEIPTS", "next_gate": "response law separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "A_p,S_p viable-lane receipts", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q219", "symbol": "viable-lane source/sink subtype partition", "exact_form": "A=A^L+A^T+A^LT; S=S^L+S^T+S^LT", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LATENT ONSET-INTEGRITY RESTORATION-EXTINCTION-LOSS TAGS", "next_gate": "do not alias to physical support source/sink", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "viable-lane source/sink subtype partition", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q220", "symbol": "F_omega canonical pair continuation", "exact_form": "persistent e_p->e_p; disappearing e_p->0 on fixed A/B/C basis", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / NO PAIR PREDECESSOR AMBIGUITY", "next_gate": "general packet lineage remains separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "F_omega canonical pair continuation", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q221", "symbol": "ind F_omega", "exact_form": "N_sink-N_add=|omega^-|-|omega^+|", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT VIABLE-LANE SOURCE-SINK INDEX", "next_gate": "Theta response separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "ind F_omega", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q222", "symbol": "lane source/sink vs physical source/sink identity", "exact_form": "viable-lane A,S are not by equality support s_B, environment leakage, or physical creation/destruction", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / TYPED SOURCE-SINK NONIDENTITY", "next_gate": "independent bridge required for any physical alias", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "lane source/sink vs physical source/sink identity", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q223", "symbol": "source/sink receipts -> Theta endpoint", "exact_form": "{pre-event c,T,A,S} not=> theta+", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONSTITUTIVE RESPONSE NONIDENTIFIABILITY", "next_gate": "derive or empirically validate response coupling", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "source/sink receipts -> Theta endpoint", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q224", "symbol": "POC-1 response in source/sink form", "exact_form": "c_Theta=S; o_Theta=A; equivalently theta+=1-omega+ on saturation domain", "claim_bin": "QUARANTINED_CANDIDATE", "status": "PREREGISTERED CONSTITUTIVE RESPONSE / SOURCE-SINK LAYER NOW EXACT", "next_gate": "independent held-out response test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "POC-1 response in source/sink form", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "O38", "symbol": "remaining POC-1 constitutive gap", "exact_form": "SOURCE/SINK RECEIPTS CLOSED; THETA RESPONSE COUPLING OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / CONSTITUTIVE GAP NARROWED", "next_gate": "independent response experiment or deeper response theorem", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "remaining POC-1 constitutive gap", "reconciliation_notes": "v0.51 latent-lane source/sink theorem patch; physical promotion 0" }, { "id": "Q225", "symbol": "V_pair(theta|omega)", "exact_form": "sum_p (1-theta_p) omega_p", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / PAIR VIABLE-TRANSPORT OBJECTIVE", "next_gate": "selection principle itself separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "V_pair(theta|omega)", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q226", "symbol": "argmax V_pair", "exact_form": "theta_p=0 for omega_p=1; free for omega_p=0; cardinality 2^(3-|omega|)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT MAXIMIZER SET", "next_gate": "none mathematically", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "argmax V_pair", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q227", "symbol": "source->reopen under maximal pair transport", "exact_form": "A_p=1 => o_Theta,p=1 on previous-saturation domain", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / MAX-TRANSPORT HALF-RESPONSE", "next_gate": "justify maximal pair transport constitutively or test it", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "source->reopen under maximal pair transport", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q228", "symbol": "sink->closure under maximal transport", "exact_form": "S_p=1 not=> c_Theta,p=1", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / MAXIMAL TRANSPORT DOES NOT FORCE POC1 CLOSURE", "next_gate": "additional closure-economy principle or empirical test", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "sink->closure under maximal transport", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q229", "symbol": "G_p edge-admitted latent activity", "exact_form": "sum_{e in M_p} T_e Lambda_e^S", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EDGE-LEVEL MAX-TRANSPORT SOURCE OBJECT", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "G_p edge-admitted latent activity", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q230", "symbol": "partial-integrity POC1/max-transport divergence", "exact_form": "omega_p=0 and G_p>0 => theta_POC1=1 while edge-max theta=0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / POC1 CAN CONFLICT WITH EDGE-LEVEL MAX TRANSPORT", "next_gate": "target-blind discriminating event", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "partial-integrity POC1/max-transport divergence", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q231", "symbol": "support-continuity response selection", "exact_form": "support continuity not=> theta_p or c_Theta=S", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTROL-VOLUME BALANCE IS GATE-PARAMETRIC", "next_gate": "new constitutive response principle required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "support-continuity response selection", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q232", "symbol": "POC1 logical decomposition", "exact_form": "1-theta=omega iff [omega<=1-theta] and [1-theta<=omega]", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / VIABLE COMPLETENESS + NO-IDLE-OPEN EQUIVALENCE", "next_gate": "derive second inequality", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "POC1 logical decomposition", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q233", "symbol": "closure-economy principle", "exact_form": "among maximal pair-transport states maximize w_H(theta)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE / UNIQUELY RECOVERS POC1", "next_gate": "independent derivation or held-out discrimination", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "closure-economy principle", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q234", "symbol": "MTA response", "exact_form": "theta_p^MTA = 1[G_p=0] from edge-max transport then max closure", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE COMPETITOR / DIFFERS FROM POC1 ON PARTIAL INTEGRITY", "next_gate": "held-out partial-integrity events", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "MTA response", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "O39", "symbol": "remaining response-coupling gap", "exact_form": "reopening half conditionally supported; sink closure requires no-idle-open/closure-economy principle", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / RESPONSE GAP SHARPENED", "next_gate": "derive/falsify closure-economy principle", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "remaining response-coupling gap", "reconciliation_notes": "v0.52 response-coupling maximal-transport no-go; physical promotion 0" }, { "id": "Q235", "symbol": "S3-equivariant response-map count", "exact_form": "64 maps Omega->Q", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT RESPONSE MAP ENUMERATION", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "S3-equivariant response-map count", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q236", "symbol": "equivariant transport-complete response count", "exact_form": "8 of 64 satisfy omega<=R(omega)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / SYMMETRY+COMPLETENESS NONUNIQUENESS", "next_gate": "additional response principle required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "equivariant transport-complete response count", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q237", "symbol": "formal reset-idempotence count", "exact_form": "all 8 complete maps satisfy R o iota o R = R", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / IDEMPOTENCE HAS ZERO DISCRIMINATION", "next_gate": "do not use idempotence as independent POC1 support", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "formal reset-idempotence count", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q238", "symbol": "symmetric monotone complete response classification", "exact_form": "exactly R0,R2,R1,Rtop", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FOUR MEMORYLESS RESPONSE LAWS", "next_gate": "additional selector required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "symmetric monotone complete response classification", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q239", "symbol": "POC1 least-response theorem", "exact_form": "R_POC1=pointwise least complete response; argmin_{q>=omega} w_H(q)=omega", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ORDER-THEORETIC CHARACTERIZATION", "next_gate": "derivation of least-response selection remains open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "POC1 least-response theorem", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q240", "symbol": "minimal-state ambiguity", "exact_form": "minimal open count=>POC1; minimal gate change on sink=>hold-open; minimal theta Hamming=>fully open", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / UNTYPED MINIMALITY CANNOT SELECT RESPONSE", "next_gate": "specify independently sourced objective", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "minimal-state ambiguity", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q241", "symbol": "pair-local response classification", "exact_form": "g(1)=1 leaves g(0)=0 POC1 or g(0)=1 fully-open", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / PAIR LOCALITY DOES NOT CLOSE NO-IDLE BIT", "next_gate": "derive g(0) from new principle", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "pair-local response classification", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q242", "symbol": "gate-history composition nonuniqueness", "exact_form": "close-on-sink and hold-on-sink both local symmetric deterministic repeated-idempotent commuting rules", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ORDINARY COMPOSITION DOES NOT SELECT CLOSURE", "next_gate": "zero-holonomy or other response principle required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "gate-history composition nonuniqueness", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q243", "symbol": "zero-holonomy sink closure", "exact_form": "source-state loop return=>gate-state loop return forces close-on-sink for elementary 0->1->0 loop", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE / WOULD SUPPORT CLOSURE BUT IS NOT CURRENT NATIVE THEOREM", "next_gate": "derive global gate-loop return independently", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "zero-holonomy sink closure", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q244", "symbol": "recurrence response selector", "exact_form": "chain/source recurrence plus memoryless response does not distinguish R0,R2,R1,Rtop", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / RECURRENCE DOES NOT UNIQUELY SELECT POC1", "next_gate": "new coupling between chain recurrence and gate state required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "recurrence response selector", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "O40", "symbol": "closure-economy derivation status", "exact_form": "POC1 characterized as least complete response; least-element selection remains constitutive", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / SINGLE EARLIEST RESPONSE GAP RETAINED", "next_gate": "derive/test least-response selection", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "closure-economy derivation status", "reconciliation_notes": "v0.53 closure-economy native-structure audit; physical promotion 0" }, { "id": "Q245", "symbol": "N_open(q)", "exact_form": "6-2w_H(theta)=2w_H(q)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT HARD OPEN-SLOT COUNT", "next_gate": "no existing minimization law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "N_open(q)", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q246", "symbol": "open-slot minimizer under completeness", "exact_form": "argmin_{q>=omega} N_open(q)=omega", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT LEAST-RESPONSE SCALAR CHARACTERIZATION", "next_gate": "cannot count as independent closure-economy derivation", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "open-slot minimizer under completeness", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q247", "symbol": "quadratic burden response direction", "exact_form": "R_B=(1/4) sum q_p W_p^B2 is currently maximized under fixed Hamming", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / GENERIC POSITIVE BURDEN REWARD FAVORS OPENNESS", "next_gate": "do not reverse sign post hoc", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "quadratic burden response direction", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q248", "symbol": "reversed burden cost candidate", "exact_form": "min sum q_p W_p gives q=omega only for strictly positive idle weights; zero weights yield ties", "claim_bin": "QUARANTINED_CANDIDATE", "status": "AUTO_FREEZE AS RETROACTIVE DERIVATION / NEW RESPONSE COST IF EVER USED", "next_gate": "independent sign/direction theorem required", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "reversed burden cost candidate", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q249", "symbol": "burden relaxation power vs response", "exact_form": "-dot E_B=(1/4) sum_e q_p(e)T_e(B^Tb)_e^2", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / STEEPEST BURDEN RELAXATION FAVORS ADDITIONAL OPEN GRADIENT LANES", "next_gate": "cannot derive closure economy", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "burden relaxation power vs response", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q250", "symbol": "canonical Hodge action gate-response dependence", "exact_form": "current J_nu=pi||P_nu x||^2 has no q/H response argument", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CURRENT ACTION IS RESPONSE-BLIND", "next_gate": "new gate-masked action would require separate derivation", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "canonical Hodge action gate-response dependence", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q251", "symbol": "fixed-cardinality completeness", "exact_form": "q>=omega and w_H(q)=w_H(omega) => q=omega", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / BURDEN ADDRESS OPTIMIZER UNNEEDED ONCE SHELL EQUALITY IS GIVEN", "next_gate": "derive shell response independently", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "fixed-cardinality completeness", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q252", "symbol": "post-event action/contraction as pre-event selector", "exact_form": "lifted loop action and D_evt are source-late for q selection", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CAUSAL ORDER BLOCK", "next_gate": "pre-event predictive bridge required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "post-event action/contraction as pre-event selector", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q253", "symbol": "integrity/open-slot fraction response selector", "exact_form": "Q_T,T_e filter admissibility; g_hard maximization favors openness; no minimization law", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / INTEGRITY IS NOT CLOSURE COST", "next_gate": "independent gate-cost law required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "integrity/open-slot fraction response selector", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q254", "symbol": "native response functional closure status", "exact_form": "no existing independently directed burden/action/gate scalar selects least complete response", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / FUNCTIONAL ROUTE CURRENTLY CLOSED", "next_gate": "derive new upstream cost/order or test response empirically", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "native response functional closure status", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "O41", "symbol": "earliest response theorem gap after functional audit", "exact_form": "derive optimization direction for least response; scalar form N_open already exact but direction open", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / CLOSURE-ECONOMY GAP REDUCED TO SELECTION DIRECTION", "next_gate": "new source principle or held-out discrimination", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "earliest response theorem gap after functional audit", "reconciliation_notes": "v0.54 native response functional audit; physical promotion 0" }, { "id": "Q255", "symbol": "typed zero triad", "exact_form": "0_Omega=000, 0_Q=000, 0_Theta=000 are distinct typed objects", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EQUAL BIT TRIPLES DO NOT IMPLY EQUAL ZERO OBJECTS", "next_gate": "explicit cross-type bridge required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "typed zero triad", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q256", "symbol": "Theta-zero gate image", "exact_form": "q=1-theta gives 0_Theta -> 111_Q and 0_Q -> 111_Theta", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / THETA REFERENCE ZERO IS FULLY GATE-OPEN", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Theta-zero gate image", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q257", "symbol": "breathing restore as gate selector", "exact_form": "current compress-orient-evaluate-act-record-restore source provides no q response projection", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / PROCEDURAL RESTORE NONSELECTION", "next_gate": "new typed restore law required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "breathing restore as gate selector", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q258", "symbol": "history-preserving restore", "exact_form": "q_plus=q_prev OR omega_plus", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / COMPLETE MONOTONE IDEMPOTENT HOLD-ON-SINK RESTORE", "next_gate": "not POC1 closure response", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "history-preserving restore", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q259", "symbol": "least-current-support reset", "exact_form": "min_{q>=omega} q = omega / argmin Hamming gives POC1", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT BUT CLOSURE-ECONOMY-EQUIVALENT RESET", "next_gate": "optimization direction not independently derived", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "least-current-support reset", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q260", "symbol": "completed-event saturation as derivation", "exact_form": "POC1 saturation receipt q=omega cannot independently prove q=omega", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CIRCULARITY FIREWALL", "next_gate": "retain saturation as domain/test receipt", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "completed-event saturation as derivation", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q261", "symbol": "pair-local zero-source-silence uniqueness", "exact_form": "pair locality + completeness + R(0_Omega)=0_Q => q=omega", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ZERO-SILENCE HINGE", "next_gate": "derive typed zero bridge independently", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "pair-local zero-source-silence uniqueness", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q262", "symbol": "Theta-reference restore vs POC1", "exact_form": "restore theta->000 implies q->111, not q=omega generally", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / REFERENCE RESTORE DOES NOT SUPPORT CLOSURE ECONOMY", "next_gate": "do not conflate reference zero and gate zero", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "Theta-reference restore vs POC1", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q263", "symbol": "structured-zero cross-type bridge status", "exact_form": "no audited source theorem establishes 0_Omega -> 0_Q", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ZERO BRIDGE SOURCE GAP", "next_gate": "derive typed zero-source-silence law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "structured-zero cross-type bridge status", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q264", "symbol": "restore-semantic trilemma", "exact_form": "Theta-reference restore=>111; history restore=>q_prev OR omega; least-current reset=>omega", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / WORD RESTORE IS RESPONSE-UNDERDETERMINED", "next_gate": "carrier-specific restore semantics required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "restore-semantic trilemma", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "O42", "symbol": "earliest response gap after zero/restore audit", "exact_form": "derive why 0 viable lanes imply 0 open gates on typed Q carrier", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / SINGLE ZERO-SOURCE-SILENCE HINGE", "next_gate": "structured-zero theorem or held-out response discrimination", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "earliest response gap after zero/restore audit", "reconciliation_notes": "v0.55 structured-zero/restore/saturation response audit; physical promotion 0" }, { "id": "Q265", "symbol": "R0 response model", "exact_form": "q=omega", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET / POC1 PRIMARY RESPONSE", "next_gate": "blinded endpoint test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "R0 response model", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q266", "symbol": "R2 response model", "exact_form": "q=omega for w<=1; q=111 for w>=2", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET ALTERNATIVE", "next_gate": "blinded endpoint test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "R2 response model", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q267", "symbol": "R1 response model", "exact_form": "q=000 for w=0; q=111 for w>=1", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET ALTERNATIVE", "next_gate": "blinded endpoint test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "R1 response model", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q268", "symbol": "Rtop response model", "exact_form": "q=111", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET ALTERNATIVE", "next_gate": "blinded endpoint test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "Rtop response model", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q269", "symbol": "MTA response model", "exact_form": "q_p=1[G_p>0], G_p=sum T_e Lambda_e^S", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET ALTERNATIVE / G MUST RESOLVE", "next_gate": "partial-integrity held-out test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "MTA response model", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q270", "symbol": "omega-shell model discrimination", "exact_form": "w0,w1,w2 each split omega-only models; w3 is nondiscriminating", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT RESPONSE EQUIVALENCE CLASSES", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "omega-shell model discrimination", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q271", "symbol": "partial-integrity model discriminator", "exact_form": "omega_p=0 and G_p>0 => R0 q_p=0 while MTA q_p=1", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TARGET-BLIND POC1-MTA DISCRIMINATOR", "next_gate": "held-out endpoint", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "partial-integrity model discriminator", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "O43", "symbol": "multi-model sidecar freeze", "exact_form": "R0,R2,R1,Rtop,MTA registry frozen pretarget", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / NO MODEL ADDITION AFTER ENDPOINT", "next_gate": "activate only under versioned lab amendment", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "multi-model sidecar freeze", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "O44", "symbol": "primary POC1 verdict nonmutation", "exact_form": "sidecar cannot alter/repair already-sent POC1 primary verdict", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / PRIMARY FIREWALL", "next_gate": "preserve separate score receipts", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "primary POC1 verdict nonmutation", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "O45", "symbol": "multi-model empirical status", "exact_form": "PRETARGET FROZEN / NOT DISTRIBUTED TO LABS / NO ENDPOINT DATA", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO EMPIRICAL RESULT", "next_gate": "versioned distribution or future run", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "multi-model empirical status", "reconciliation_notes": "v0.56 pretarget multi-model response sidecar; physical promotion 0" }, { "id": "Q272", "symbol": "P2 zero-source certificate", "exact_form": "P2 c=0 => c1=0 => omega=0_Omega", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ACTIVE-HODGE ANNIHILATION IMPLIES LATENT SOURCE ZERO", "next_gate": "gate response separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "P2 zero-source certificate", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q273", "symbol": "global gate degeneracy at P2 c=0", "exact_form": "Phi_e^S=0 for all 8 q masks and all integrity masks", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ZERO ACTIVE SOURCE MAKES GATE UNIDENTIFIABLE", "next_gate": "independent zero-response principle required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "global gate degeneracy at P2 c=0", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q274", "symbol": "pair-projector annihilation", "exact_form": "P_p^(1)c1=0 => L_p=omega_p=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / PAIR SUPPORT ZERO CERTIFICATE", "next_gate": "q_p separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "pair-projector annihilation", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q275", "symbol": "pair gate degeneracy on projector kernel", "exact_form": "P_p^(1)c1=0 => pair throughput identical for q_p=0,1", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / PAIR PROJECTOR DOES NOT SELECT CLOSURE", "next_gate": "independent response selector required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "pair gate degeneracy on projector kernel", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q276", "symbol": "bilinear source annihilator", "exact_form": "R_p=0 can hold with P_p^(1)c1 !=0 when endpoint support vanishes", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / SOURCE ANNIHILATOR BROADER THAN LINEAR PROJECTOR KERNEL", "next_gate": "factor provenance preserved", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "bilinear source annihilator", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q277", "symbol": "zero contact projector inversion", "exact_form": "Xi_e P_e,w=0 not=> q_p=0 because Xi factors q,T,c1,c0-support", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTACT ZERO FACTOR-NONIDENTIFIABILITY", "next_gate": "do not backsolve closure", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "zero contact projector inversion", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q278", "symbol": "gate-masked support flat direction", "exact_form": "if gate-difference coordinates annihilate y then Hy=H'y and S_mu,H=S_mu,H'", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SUPPORT FUNCTIONAL FLAT ON ANNIHILATED GATE DIRECTIONS", "next_gate": "new selector required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "gate-masked support flat direction", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q279", "symbol": "Hodge ray projector zero extension", "exact_form": "Q_[x] has no ray-independent continuous extension at x=0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CANNOT DEFINE ZERO PROJECTOR FROM NONZERO-RAY FORMULA", "next_gate": "new convention would require versioned addendum", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "Hodge ray projector zero extension", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q280", "symbol": "multiplicative gate null-direction theorem", "exact_form": "K_p(s)=0 in F=F_rest+q_p K_p => F(q_p=0)=F(q_p=1)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / GENERAL GATE-UNIDENTIFIABILITY ON SOURCE ANNIHILATOR", "next_gate": "applies to route/support/burden gated observables", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "multiplicative gate null-direction theorem", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "Q281", "symbol": "annihilator-silence response", "exact_form": "omega_p=0 => q_p=0", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE / EQUIVALENT TO ZERO-SOURCE SILENCE ON PAIR-LOCAL DOMAIN", "next_gate": "independent theorem required", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "annihilator-silence response", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "O46", "symbol": "projector zero-bridge status", "exact_form": "SUPPORT ZERO CERTIFICATE CLOSED; GATE ZERO RESPONSE NOT DERIVED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PROJECTOR ROUTE CLOSED AS NATIVE DERIVATION", "next_gate": "empirical discrimination or new independent response principle", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "projector zero-bridge status", "reconciliation_notes": "v0.57 support-projector/annihilator zero-bridge audit; physical promotion 0" }, { "id": "O47", "symbol": "multi-model sidecar external distribution", "exact_form": "same frozen v0.1 sidecar sent to UdeG, IPN, URJC", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / THREE-LAB PRETARGET DISTRIBUTION", "next_gate": "lab acknowledgement/activation before scored use", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "multi-model sidecar external distribution", "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0" }, { "id": "O48", "symbol": "multi-model sidecar primary-protocol firewall", "exact_form": "supplement does not modify primary POC1 protocol, scorer, custody or verdict", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / PRIMARY NONMUTATION", "next_gate": "preserve separate freeze/score receipts", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "multi-model sidecar primary-protocol firewall", "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0" }, { "id": "O49", "symbol": "multi-model external empirical status", "exact_form": "DISTRIBUTED / NO LAB ACTIVATION / NO ENDPOINT DATA", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO EMPIRICAL RESULT", "next_gate": "direct lab response and versioned activation", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "multi-model external empirical status", "reconciliation_notes": "v0.58 sidecar three-lab distribution; physical promotion 0" }, { "id": "O50", "symbol": "response-theorem internal frontier checkpoint", "exact_form": "current response-selector route catalog consolidated and frozen against reformulation", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / INTERNAL RESPONSE FRONTIER v1.0 FROZEN", "next_gate": "reopen only under explicit re-entry condition", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "response-theorem internal frontier checkpoint", "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0" }, { "id": "O51", "symbol": "closure-economy reformulation family", "exact_form": "least response / no-idle-open / min open count / max closure / least-support restore treated as one unresolved family", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_FREEZE / REFORMULATION NONINDEPENDENCE", "next_gate": "new source theorem required", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "closure-economy reformulation family", "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0" }, { "id": "O52", "symbol": "response-frontier re-entry gate", "exact_form": "requires new q dynamics, typed zero bridge, gate holonomy, independently directed functional, new receipt, or new blinded evidence", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / GENUINE-NEWNESS ADMISSION", "next_gate": "audit every future internal response route", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "response-frontier re-entry gate", "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0" }, { "id": "O53", "symbol": "active response-selection frontier", "exact_form": "internal selector unresolved; frozen five-model external discrimination is primary independent route", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / EXTERNAL BLINDED FRONTIER ACTIVE", "next_gate": "lab feasibility reply then blinded acquisition", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "active response-selection frontier", "reconciliation_notes": "v0.59 response-theorem frontier checkpoint; physical promotion 0" }, { "id": "Q282", "symbol": "alpha_A specific native action-phase scale", "exact_form": "S_native/(a Delta_phi)=A0/2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / SINGLE-K4 ACTIVE-SECTOR EXACT", "next_gate": "physical hbar identification separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "alpha_A specific native action-phase scale", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q283", "symbol": "K4 active spectral Hamiltonian", "exact_form": "H_Hodge=(1/2)=a on E2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / OMEGA=2P2", "next_gate": "physical energy map separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "K4 active spectral Hamiltonian", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q284", "symbol": "native Hodge phase rate", "exact_form": "Delta_phi/dt=2/tau0 under t=tau0 s", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NATIVE TIME DIMENSIONALIZATION", "next_gate": "physical clock identification open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "native Hodge phase rate", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q285", "symbol": "energy-frequency specific action cross-check", "exact_form": "E_native/(a omega_phase)=A0/2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK / INDEPENDENT CROSS-CHECK OF Q282", "next_gate": "physical energy/time identity open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "energy-frequency specific action cross-check", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q286", "symbol": "normalized-ray recurrence action", "exact_form": "a=1 => S_spinor,rec^native=pi A0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXPLICIT PROJECTIVE REPRESENTATIVE / NOT SUPPORT QUANTIZATION", "next_gate": "physical normalized-state bridge open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "normalized-ray recurrence action", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q287", "symbol": "QPB1 action-phase bridge", "exact_form": "normalized Hodge ray + J complex structure + phase map; hbar <-> A0/2", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN POSTULATED_BRIDGE / BML-1 / ZERO FIT PARAMETERS", "next_gate": "independent non-hbar A0 anchor", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "QPB1 action-phase bridge", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q288", "symbol": "QPB1 eta_A prediction", "exact_form": "eta_A=A0/hbar=2=2/1", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRETARGET BRIDGE PREDICTION / NUMERICAL HBAR NOT USED", "next_gate": "score after independent A0 anchor", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "QPB1 eta_A prediction", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q289", "symbol": "QPB1 convention aliases", "exact_form": "xi_native/phys=2; xi_phys/native=1/2 inside QPB1 only", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL ON QPB1 / BARE xi_hbar REMAINS FROZEN", "next_gate": "do not rewrite historical provenance", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "QPB1 convention aliases", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "O54", "symbol": "action-phase frontier status", "exact_form": "native specific action-phase scale CLOSED; physical hbar identification POSTULATED; A0 physical anchor OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / INDEPENDENT OF POC1 RESPONSE FRONTIER", "next_gate": "derive non-hbar A0 anchor", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "action-phase frontier status", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "O55", "symbol": "QPB1 independent test preregistration", "exact_form": "freeze eta_A=2 before independent A0 physical anchor", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRETARGET / NO EMPIRICAL SCORE", "next_gate": "future non-hbar action-anchor packet", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "QPB1 independent test preregistration", "reconciliation_notes": "v0.60 independent action-phase frontier; no POC1 dependency; physical promotion 0" }, { "id": "Q290", "symbol": "K4 burden positive-affine symmetry", "exact_form": "b -> lambda b + beta 1, lambda>0, preserves homogeneous burden flow", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT FOR ANY HARD GATE MASK", "next_gate": "source initial burden normalization remains external to flow", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "K4 burden positive-affine symmetry", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q291", "symbol": "uniform burden zero-mode", "exact_form": "D_B(H)1=0 and mean burden conserved", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ABSOLUTE BURDEN OFFSET UNSELECTED BY MIXING", "next_gate": "background/zero receipt required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "uniform burden zero-mode", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q292", "symbol": "burden multiplicative normalization no-go", "exact_form": "topology + homogeneous mixing + normalized shape do not fix lambda", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ABSOLUTE BURDEN SCALE NONIDENTIFIABLE", "next_gate": "independent burden-unit source required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "burden multiplicative normalization no-go", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q293", "symbol": "minimality normalization no-go", "exact_form": "positive-affine transformation preserves lower-burden ordering", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / COMPETITOR EXCLUSION DOES NOT FIX NUMERIC ANCHOR", "next_gate": "source burden normalization required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "minimality normalization no-go", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q294", "symbol": "matched-background excess burden", "exact_form": "B_X^exc=1^T(b_X-b_bg); uniform-shift invariant and conserved under homogeneous mixing", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ADDITIVE-GAUGE-INVARIANT DEFECT BURDEN", "next_gate": "multiplicative normalization still open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "matched-background excess burden", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q295", "symbol": "B_e correction decomposition", "exact_form": "B_e=101/6+DeltaB_frame+DeltaB_closure+DeltaB_holonomy+DeltaB_transport-DeltaB_coherence", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / GOVERNED MATTER-RAIL DECOMPOSITION", "next_gate": "derive every correction source-completely", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "B_e correction decomposition", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q296", "symbol": "BE0 baseline candidate", "exact_form": "B_e=101/6 iff Delta_B_net=0", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / ZERO EMPIRICAL TARGET INPUT", "next_gate": "score only after correction ledger complete", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "BE0 baseline candidate", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q297", "symbol": "H_seed factor/clock structure", "exact_form": "101/6=2^4+1-1/(2*3); 101 prime; 101=16*6+5; 101 mod 6=5", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ARITHMETIC ONLY / NO PHYSICAL IDENTITY", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "H_seed factor/clock structure", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "O56", "symbol": "B_e source completeness", "exact_form": "H_seed CLOSED; five correction laws SOURCE_INCOMPLETE; numerical B_e OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO NUMERICAL B_e PROMOTION", "next_gate": "construct correction ledger target-blind", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "B_e source completeness", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "O57", "symbol": "B_e correction-ledger protocol", "exact_form": "unresolved correction != zero; all terms require provenance/sign/normalization/conjugation/competitor checks", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-CORRECTION", "next_gate": "execute source-complete correction derivations", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "B_e correction-ledger protocol", "reconciliation_notes": "v0.61 native matter burden anchor audit; no physical target backsolve; physical promotion 0" }, { "id": "Q298", "symbol": "direct frame mixing correction", "exact_form": "Delta_B_frame^mix=0 at fixed B,H(s),b(0)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CURRENT BURDEN GENERATOR HAS NO M_sigma ARGUMENT", "next_gate": "static/topological framing burden remains open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct frame mixing correction", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q299", "symbol": "direct holonomy mixing correction", "exact_form": "Delta_B_holonomy^mix=0 at fixed B,H(s),b(0)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CURRENT BURDEN GENERATOR HAS NO LOOP-HOLONOMY ARGUMENT", "next_gate": "static/topological holonomy burden remains open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct holonomy mixing correction", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q300", "symbol": "odd-framing indicator", "exact_form": "p_sigma=(1-M_sigma)/2 in {0,1}", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TYPED FRAMING RECEIPT", "next_gate": "not a burden value", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "odd-framing indicator", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q301", "symbol": "pure Z2 framing correction family", "exact_form": "Delta_B_frame^(Z2)=kappa_frame p_sigma if class-only and trivial-frame zero", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SHAPE CLOSED, AMPLITUDE OPEN", "next_gate": "derive kappa_frame source-completely", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "pure Z2 framing correction family", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q302", "symbol": "endpoint holonomy inversion symmetry", "exact_form": "Phi_hat_R(U^-1)=Phi_hat_R(U) for unitary representation", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CONJUGATION-EVEN STRUCTURAL DEFECT", "next_gate": "not a burden coefficient", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "endpoint holonomy inversion symmetry", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q303", "symbol": "scalar Z2 holonomy indicator", "exact_form": "p_H=Phi_hat_R/2; p_H=0 trivial,1 odd scalar one-cycle", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SCALAR Z2 CARRIER ONLY", "next_gate": "not a burden value", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "scalar Z2 holonomy indicator", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q304", "symbol": "pure scalar-Z2 holonomy correction family", "exact_form": "Delta_B_holonomy^(Z2)=kappa_hol p_H if class-only and trivial-holonomy zero", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SHAPE CLOSED, AMPLITUDE OPEN", "next_gate": "derive kappa_hol source-completely", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "pure scalar-Z2 holonomy correction family", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q305", "symbol": "frame-holonomy correction decomposition identifiability", "exact_form": "current odd scalar carrier has feature row (1,1), rank1; cannot separately identify two coefficients", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / NEED INDEPENDENT CONTROL CARRIERS", "next_gate": "construct rank-2 framing/holonomy controls", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "frame-holonomy correction decomposition identifiability", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q306", "symbol": "endpoint defect to burden/action reuse", "exact_form": "Q35/QPB1 action normalization does not supply holonomy burden coefficient", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / TYPED ACTION/BURDEN FIREWALL", "next_gate": "derive separate burden-holonomy bridge", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "endpoint defect to burden/action reuse", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "O58", "symbol": "frame/holonomy correction status", "exact_form": "direct mixing subterms ZERO; static/topological kappa_frame,kappa_hol OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PARTIAL CORRECTION-LANE CLOSURE", "next_gate": "derive independent controls and amplitudes", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "frame/holonomy correction status", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "O59", "symbol": "frame/holonomy correction identification protocol", "exact_form": "rank-2 feature controls required to separate kappa_frame and kappa_hol; zero only by theorem", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-COEFFICIENT", "next_gate": "source independent framing/holonomy controls", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "frame/holonomy correction identification protocol", "reconciliation_notes": "v0.62 frame/holonomy Be correction audit; physical promotion 0" }, { "id": "Q307", "symbol": "odd one-cycle frame/holonomy feature", "exact_form": "(p_sigma,p_H)=(1,1)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ODD SCALAR ONE-CYCLE CONTROL", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "odd one-cycle frame/holonomy feature", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q308", "symbol": "odd two-cycle frame/holonomy feature", "exact_form": "(p_sigma,p_H)=(1,0) with intrinsic odd framing fixed", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / DOUBLED-HISTORY CONTROL", "next_gate": "do not relabel as even framing", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "odd two-cycle frame/holonomy feature", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q309", "symbol": "rank-2 frame-holonomy history matrix", "exact_form": "X=[[1,1],[1,0]], det=-1, rank=2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT IDENTIFIABILITY MATRIX", "next_gate": "requires matched burden residuals for coefficient scoring", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "rank-2 frame-holonomy history matrix", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q310", "symbol": "rank-2 coefficient inversion", "exact_form": "kappa_frame=y2; kappa_hol=y1-y2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / TWO-FEATURE MATCHED RESIDUAL MODEL", "next_gate": "source y1,y2 without target fitting", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "rank-2 coefficient inversion", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q311", "symbol": "static endpoint-defect holonomy burden", "exact_form": "same-state traversal invariance y1=y2 => kappa_hol=0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ENDPOINT-DEFECT-ONLY STATIC BURDEN COEFFICIENT ZERO UNDER SAME-STATE MODE", "next_gate": "richer holonomy burden object may remain", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "static endpoint-defect holonomy burden", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q312", "symbol": "higher-winding use of rank-2 control", "exact_form": "two-cycle state can isolate holonomy only after all other winding-dependent burden differences are matched", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / CONTROL LEDGER REQUIRED", "next_gate": "derive higher-winding matched ledger", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "higher-winding use of rank-2 control", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q313", "symbol": "even-framed carrier rank-2 criterion", "exact_form": "X=[[1,h_odd],[0,h_even]] rank2 iff h_even !=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CONTROL DESIGN THEOREM", "next_gate": "construct source-valid h_even nonzero carrier", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "even-framed carrier rank-2 criterion", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q314", "symbol": "even-framed primitive-winding control", "exact_form": "M_sigma=+1 with matched primitive winding and source-resolved nonzero holonomy", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE CONTROL / REQUIRED CLASS EXISTS, HOLONOMY SOURCE OPEN", "next_gate": "source construct and validate carrier", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "even-framed primitive-winding control", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "O60", "symbol": "frame-holonomy rank2 control status", "exact_form": "EXACT history-control rank2 CLOSED; independent carrier-control rank2 OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / CONTROL DISTINCTION", "next_gate": "obtain matched residual burden or even-framed carrier", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "frame-holonomy rank2 control status", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "O61", "symbol": "rank2 control scoring protocol", "exact_form": "same-state diagnostic and higher-winding carrier modes must not be mixed", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / TWO-MODE FIREWALL", "next_gate": "apply source-complete mode-specific score", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "rank2 control scoring protocol", "reconciliation_notes": "v0.63 rank-2 frame/holonomy control audit; physical promotion 0" }, { "id": "Q315", "symbol": "direct closure mixing total-burden correction", "exact_form": "Delta_B_closure^mix,total=0 for arbitrary hard gate history", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TOTAL BURDEN CONSERVATION", "next_gate": "static closure burden remains open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct closure mixing total-burden correction", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q316", "symbol": "closure deficit receipts", "exact_form": "N_closed=2 w_H(theta); c_cl=w_H(theta)/3", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT CLOSURE FEATURES", "next_gate": "not burden values", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "closure deficit receipts", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q317", "symbol": "S3-invariant static closure family", "exact_form": "Delta_B_closure^static=f_cl(w), f_cl(0)=0; three nontrivial shell values remain", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SYMMETRY DOES NOT FIX ONE COEFFICIENT", "next_gate": "derive shell law or additivity", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "S3-invariant static closure family", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q318", "symbol": "pair-additive closure burden candidate", "exact_form": "Delta_B_closure=kappa_cl w_H(theta) under equal-pair additivity", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE / ADDITIVITY NOT DERIVED", "next_gate": "derive kappa_cl and actual C3_7 closure branch", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "pair-additive closure burden candidate", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q319", "symbol": "direct transport gate-mixing total-burden correction", "exact_form": "Delta_B_transport^gate-mix,total=0 for arbitrary integrity gate history", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / GATE CHANGES REDISTRIBUTION NOT TOTAL", "next_gate": "transport residual cross-carrier map open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct transport gate-mixing total-burden correction", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q320", "symbol": "unitary transport loss null", "exact_form": "U^dagger U=I => Q_T=0, ell_T=0, D_evt=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LOSS-ASSOCIATED TRANSPORT NULL", "next_gate": "reversible transport burden separately typed", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "unitary transport loss null", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q321", "symbol": "transport receipt to burden map", "exact_form": "{Q_T,ell_T,D_evt,rank loss} not=> Delta_B_transport without M_T_to_B", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / TRANSPORT-BURDEN TYPE FIREWALL", "next_gate": "derive receipt/aggregation/intertwiner", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "transport receipt to burden map", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q322", "symbol": "direct coherence mixing total-burden correction", "exact_form": "Delta_B_coherence^mix,total=0 because K_ctx/sigma_E/V_alpha absent from D_B(H)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CURRENT BURDEN FLOW CONTEXT-BLIND", "next_gate": "residual context burden open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct coherence mixing total-burden correction", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q323", "symbol": "context coherence to burden map", "exact_form": "K_ctx not=> Delta_B_coherence without environment-state/burden-record map M_B", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTEXT-BURDEN TYPE FIREWALL", "next_gate": "derive M_B or alternate coherence-burden law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "context coherence to burden map", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q324", "symbol": "seed coherence rebate", "exact_form": "B_coh^seed=1/6 already included in H_seed=17-1/6=101/6", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TYPED BASELINE REBATE", "next_gate": "do not count again", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "seed coherence rebate", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q325", "symbol": "residual coherence ledger repair", "exact_form": "later term typed Delta_B_coherence^res; B_e=101/6+...-Delta_B_coherence^res", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / PROVENANCE REPAIR / NUMERIC BASELINE UNCHANGED", "next_gate": "derive residual coherence law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "residual coherence ledger repair", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "O62", "symbol": "remaining B_e correction status", "exact_form": "all direct homogeneous-mixing total corrections ZERO; residual/static cross-carrier terms OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / MATTER LEDGER NARROWED", "next_gate": "derive residual maps and closure branch", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "remaining B_e correction status", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "O63", "symbol": "remaining B_e correction protocol", "exact_form": "closure shell/additivity, transport-to-burden, and coherence-to-burden admission rules frozen", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-RESIDUAL", "next_gate": "execute source-complete residual derivations", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "remaining B_e correction protocol", "reconciliation_notes": "v0.64 closure/transport/coherence Be correction audit; physical promotion 0" }, { "id": "Q326", "symbol": "Theta closure branch index", "exact_form": "chi=w_H(theta) under current endogenous Theta branch realization", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / P_w^Theta ARE HAMMING BRANCH PROJECTORS", "next_gate": "physical branch interpretation separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "Theta closure branch index", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q327", "symbol": "closure-open graph cycle ranks", "exact_form": "beta1(w=0,1,2,3)=(3,1,0,0)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / HARD K4 CLOSURE GRAPH", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "closure-open graph cycle ranks", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q328", "symbol": "C3_7 closure shell", "exact_form": "nonreference + nonzero edge-supported winding => chi=w=1", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / CURRENT HARD-GATE WINDING REALIZATION", "next_gate": "specific address remains open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "C3_7 closure shell", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q329", "symbol": "C3_7 w1 address orbit", "exact_form": "theta in {100,010,001}; one S4 orbit", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ADDRESS DEGENERACY", "next_gate": "localized pair-address receipt required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "C3_7 w1 address orbit", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q330", "symbol": "C3_7 closure receipts", "exact_form": "w=1 => 2 closed,4 open,c_cl=1/3,g_open=2/3,beta1=1,C4 open graph", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT BRANCH FEATURES", "next_gate": "closure burden coefficient separately open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "C3_7 closure receipts", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q331", "symbol": "C3_7 closure static evaluation", "exact_form": "Delta_B_closure^static=f_cl(1); pair-additive candidate gives kappa_cl", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / BRANCH ARGUMENT CLOSED", "next_gate": "derive f_cl(1) numerically", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "C3_7 closure static evaluation", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q332", "symbol": "matched n1/n2 closure cancellation", "exact_form": "same chi=1 => Delta closure static difference=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / DIFFERENTIAL CONTROL DOES NOT NEED NUMERIC CLOSURE COEFFICIENT", "next_gate": "construct true n2 carrier", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "matched n1/n2 closure cancellation", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q333", "symbol": "matched n1/n2 burden difference", "exact_form": "B2-B1=delta_hol+delta_transport-delta_coherence under same seed/frame/closure", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SOURCE-MATCHED CONTROL", "next_gate": "source residual transport/coherence", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "matched n1/n2 burden difference", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q334", "symbol": "true higher-winding rank2 determinant", "exact_form": "X=[[1,h1],[1,h2]], det=h2-h1", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / RANK2 IFF h1!=h2", "next_gate": "source true h1,h2", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "true higher-winding rank2 determinant", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q335", "symbol": "true n2 vs doubled diagnostic identity", "exact_form": "two traversals of n1 not=> genuine winding n=2 carrier", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / HISTORY-WINDING TYPE FIREWALL", "next_gate": "construct n2 source state independently", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "true n2 vs doubled diagnostic identity", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "O64", "symbol": "C3_7 closure branch status", "exact_form": "SHELL CLOSED chi=1 / ADDRESS OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / ACTUAL C3_7 BRANCH NARROWED TO W1 ORBIT", "next_gate": "source localized address if needed", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "C3_7 closure branch status", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "O65", "symbol": "matched n1/n2 control status", "exact_form": "CONTROL SPECIFIED / SCORE SOURCE INCOMPLETE", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN HIGHER-WINDING CONTROL", "next_gate": "construct n2,h1,h2,B1,B2,residual maps", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "matched n1/n2 control status", "reconciliation_notes": "v0.65 C3_7 closure branch and matched n1/n2 control; physical promotion 0" }, { "id": "Q336", "symbol": "C4 integer winding carrier", "exact_form": "H^1(C4;Z)=Z on chi=1 closure-open graph", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TRUE HIGHER-WINDING CLASSES EXIST", "next_gate": "full matter dynamics separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "C4 integer winding carrier", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q337", "symbol": "harmonic winding representative", "exact_form": "eta_n=(n/4)(1,1,1,1), lifted phase=(pi n/2)(1,1,1,1)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / MINIMUM-NORM HODGE REPRESENTATIVE", "next_gate": "address-covariant across w1 orbit", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "harmonic winding representative", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q338", "symbol": "true n2 carrier", "exact_form": "n=2 => eta=(1/2)^4, phase increments pi on each C4 edge", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TOPOLOGICAL CARRIER", "next_gate": "nonlinear matter stability open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "true n2 carrier", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q339", "symbol": "integer-winding seam endpoint holonomy", "exact_form": "U_n^seam=e^(i2pi n)=1; endpoint defect=0 for all integer n", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ENDPOINT HOLONOMY CANNOT RECOVER WINDING", "next_gate": "use lifted period n", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "integer-winding seam endpoint holonomy", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q340", "symbol": "true n2 seam endpoint feature", "exact_form": "h1_seam=h2_seam=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TRUE N1-N2 ENDPOINT ALIAS", "next_gate": "rank2 endpoint control fails", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "true n2 seam endpoint feature", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q341", "symbol": "true n2 combined odd-frame endpoint feature", "exact_form": "h1_comb=h2_comb=1 under M_sigma=-1 times seam endpoint", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ODD FRAME ENDPOINT ALSO WINDING-BLIND", "next_gate": "rank2 endpoint control fails", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "true n2 combined odd-frame endpoint feature", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q342", "symbol": "true n1/n2 endpoint-holonomy rank", "exact_form": "rank [[1,h1],[1,h2]]=1 for seam or combined endpoint feature", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / TRUE-HIGHER-WINDING ENDPOINT RANK2 ROUTE CLOSED", "next_gate": "use lifted winding/history feature", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "true n1/n2 endpoint-holonomy rank", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q343", "symbol": "lifted winding rank2 feature", "exact_form": "(p_sigma,|n|): rows (1,1),(1,2), det=1, rank2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TRUE HIGHER-WINDING DISCRIMINATOR", "next_gate": "burden law in |n| separately open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "lifted winding rank2 feature", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q344", "symbol": "conjugation-even winding burden family", "exact_form": "Delta_B_wind=f_wind(|n|)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / CHARGE-CONJUGATE EQUAL BURDEN", "next_gate": "derive f_wind from source dynamics", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "conjugation-even winding burden family", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q345", "symbol": "linear primitive-winding burden candidate", "exact_form": "Delta_B_wind=kappa_wind |n|", "claim_bin": "QUARANTINED_CANDIDATE", "status": "CANDIDATE / RANK2 INVERSION kappa_wind=y2-y1", "next_gate": "derive additivity/linearity independently", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "linear primitive-winding burden candidate", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q346", "symbol": "true n2 topological stability", "exact_form": "integer period + harmonic representative stable absent phase slip/carrier break", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / TOPOLOGICAL-HODGE STABILITY ONLY", "next_gate": "full nonlinear persistence testing", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "true n2 topological stability", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "O66", "symbol": "true n2 carrier status", "exact_form": "TOPOLOGICAL_CARRIER_PASS / FULL_MATTER_STABILITY_OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / TRUE N2 CONSTRUCTED", "next_gate": "derive dynamics, burden, transport/coherence survival", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "true n2 carrier status", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "O67", "symbol": "higher-winding control repair", "exact_form": "endpoint h replaced by lifted |n| as rank2 feature for true carriers", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN TYPE REPAIR / ENDPOINT FEATURE NOT WINDING-SENSITIVE", "next_gate": "use lifted winding in future matched control", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "higher-winding control repair", "reconciliation_notes": "v0.66 true n2 harmonic winding carrier; endpoint-holonomy rank2 repair; physical promotion 0" }, { "id": "Q347", "symbol": "winding class addition", "exact_form": "eta_m+eta_n=eta_(m+n); period m+n", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TOPOLOGICAL WINDING ADDITIVITY", "next_gate": "burden additivity separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding class addition", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q348", "symbol": "winding harmonic zero-mode", "exact_form": "graph Dirac A_C4 [0;eta_n]=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / WINDING LIVES IN HODGE KERNEL", "next_gate": "active action does not weight it", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding harmonic zero-mode", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q349", "symbol": "active Hodge action to winding burden", "exact_form": "canonical omega>0 Hodge action not=> f_wind for pure harmonic winding", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ACTION-WINDING TYPE FIREWALL", "next_gate": "new harmonic/topological action or burden bridge required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "active Hodge action to winding burden", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q350", "symbol": "winding harmonic L2 norm law", "exact_form": "||eta_n||_2^2=n^2/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / QUADRATIC STATE METRIC", "next_gate": "not automatically burden", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding harmonic L2 norm law", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q351", "symbol": "winding harmonic L1 law", "exact_form": "||eta_n||_1=|n|", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LINEAR STATE MEASURE", "next_gate": "not automatically burden", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding harmonic L1 law", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q352", "symbol": "primitive burden additivity theorem", "exact_form": "f(0)=0, f(-n)=f(n), f(m+n)=f(m)+f(n) for m,n>=0 => f(n)=kappa|n|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / LINEARITY IF ADDITIVITY PREMISE HOLDS", "next_gate": "derive additivity independently", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "primitive burden additivity theorem", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q353", "symbol": "harmonic quadratic nonadditivity", "exact_form": "primitive-normalized H2 candidate gives f(2)=4 f(1), not 2 f(1)", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / HODGE STATE METRIC DOES NOT SUPPORT PRIMITIVE ADDITIVITY", "next_gate": "burden map separately open", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "harmonic quadratic nonadditivity", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q354", "symbol": "WBL1 winding burden candidate", "exact_form": "f_WBL1(n)=kappa_1 |n|", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRE-BURDEN-DATA / ADDITIVE MODEL", "next_gate": "matched n0/n1/n2 test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "WBL1 winding burden candidate", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q355", "symbol": "WBQ1 winding burden candidate", "exact_form": "f_WBQ1(n)=kappa_Q n^2", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRE-BURDEN-DATA / HODGE-NORM MODEL", "next_gate": "matched n0/n1/n2 test", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "WBQ1 winding burden candidate", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q356", "symbol": "winding additivity discriminator", "exact_form": "Delta_add=z2-2 z1+z0; WBL1=>0; WBQ1 primitive-normalized=>2 z1", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / MATCHED WINDING-SPECIFIC RESIDUALS", "next_gate": "source z0,z1,z2", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "winding additivity discriminator", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q357", "symbol": "composite vs single-carrier winding burden", "exact_form": "disjoint-defect additivity not=> B(single n=2)=2B(single n=1)", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / COMPOSITE-STATE TYPE FIREWALL", "next_gate": "derive fusion/interactions separately", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "composite vs single-carrier winding burden", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "O68", "symbol": "winding-burden law status", "exact_form": "f_wind SOURCE_OPEN; topology additive, burden additivity unproved", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / LINEARITY NOT PROMOTED", "next_gate": "construct winding-to-burden source map or matched control data", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "winding-burden law status", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "O69", "symbol": "matched winding ladder status", "exact_form": "n=0,1,2 CONTROL SPECIFIED / BURDEN DATA SOURCE INCOMPLETE", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-BURDEN-DATA", "next_gate": "derive stable controls and residual burden", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "matched winding ladder status", "reconciliation_notes": "v0.67 winding-burden additivity audit; physical promotion 0" }, { "id": "Q358", "symbol": "C3_7 C4 burden spectrum", "exact_form": "spec[(1/4)L(C4)]={0,1/2,1/2,1}", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LINEAR BURDEN STABILITY ON CHI=1", "next_gate": "physical time calibration separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "C3_7 C4 burden spectrum", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q359", "symbol": "matched winding burden-generator identity", "exact_form": "D_B^(0)=D_B^(1)=D_B^(2) at fixed chi,H", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CURRENT BURDEN GENERATOR WINDING-BLIND", "next_gate": "new M_W_to_B required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "matched winding burden-generator identity", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q360", "symbol": "matched burden trajectory identity", "exact_form": "same b(0),H => b0(s)=b1(s)=b2(s)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / MATCHED INITIAL BURDEN", "next_gate": "does not identify full matter states", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "matched burden trajectory identity", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q361", "symbol": "direct winding-specific mixing residual", "exact_form": "z0^mix=z1^mix=z2^mix=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / NO WINDING SIGNAL IN HOMOGENEOUS MIXING", "next_gate": "full z_n separately open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "direct winding-specific mixing residual", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q362", "symbol": "C4 burden perturbation stability", "exact_form": "zero-mean burden perturbations contract; spectral gap 1/2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LINEAR CONTRAST STABILITY", "next_gate": "full matter perturbation open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "C4 burden perturbation stability", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q363", "symbol": "winding period perturbation protection", "exact_form": "zero-period cochain perturbations preserve n; changes need phase slip/carrier break", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / TOPOLOGICAL STABILITY", "next_gate": "nonlinear basin open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "winding period perturbation protection", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q364", "symbol": "n0/n1/n2 seam transport integrity", "exact_form": "harmonic seam links have |u_e|=1 => Q_T=0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SCALAR SEAM REPRESENTATION", "next_gate": "full transport survivability open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "n0/n1/n2 seam transport integrity", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q365", "symbol": "current full nonlinear matter generator", "exact_form": "no source-complete F_X for X=(P,n,chi,sigma,Phi_int)", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / FULL MATTER STABILITY NOT EXECUTABLE", "next_gate": "derive coupled source law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "current full nonlinear matter generator", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q366", "symbol": "full winding residual availability", "exact_form": "current source cannot construct z0,z1,z2 beyond z^mix=0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / M_W_TO_B ABSENT", "next_gate": "derive winding-to-burden map", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "full winding residual availability", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q367", "symbol": "WBL1/WBQ1 current score", "exact_form": "both UNSCORABLE_SOURCE_INCOMPLETE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO MODEL PREFERENCE", "next_gate": "rescore after full z0,z1,z2", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "WBL1/WBQ1 current score", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "O70", "symbol": "matched winding stability program status", "exact_form": "EXECUTED TO SOURCE LIMIT / FULL MATTER SOURCE BLOCKED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PARTIAL STABILITY GATES PASSED", "next_gate": "new coupled dynamics or burden map", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "matched winding stability program status", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "O71", "symbol": "matched winding re-entry protocol", "exact_form": "full score reopens only with M_W_to_B or coupled F_X", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO SYNTHETIC RESIDUALS", "next_gate": "derive genuine source primitive", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "matched winding re-entry protocol", "reconciliation_notes": "v0.68 matched winding matter stability/burden program; physical promotion 0" }, { "id": "Q368", "symbol": "isolated winding burden output mode", "exact_form": "C4-equivariant winding-only burden lies in span{1_4}", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NO EXTRA LOCALIZED SOURCE", "next_gate": "scalar amplitude law remains open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "isolated winding burden output mode", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q369", "symbol": "structural M_W_to_B map", "exact_form": "M_W_to_B^iso(n)=(f_W(|n|)/4) 1_4, f_W(0)=0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / VECTOR PLACEMENT CLOSED", "next_gate": "derive scalar f_W", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "structural M_W_to_B map", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q370", "symbol": "winding burden retention", "exact_form": "D_B(H) M_W_to_B^iso(n)=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / UNIFORM WINDING BURDEN IS MIXING ZERO MODE", "next_gate": "formation/source law required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding burden retention", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q371", "symbol": "charge-even linear winding-burden map", "exact_form": "nonzero linear signed-winding map incompatible with M(-n)=M(n)", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / FIRST NONZERO MAP MUST BE EVEN/NONLINEAR", "next_gate": "derive nonlinear source law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "charge-even linear winding-burden map", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q372", "symbol": "smooth-even winding burden regularity", "exact_form": "differentiable even f gives f'(0)=0; analytic f has only even powers", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SMOOTH LOCAL LAW QUADRATIC-LEADING", "next_gate": "regularity premise source-open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "smooth-even winding burden regularity", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q373", "symbol": "one-homogeneous winding burden regularity", "exact_form": "positive 1-homogeneity + evenness => f(lambda)=kappa |lambda|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / WBL1 CLASS", "next_gate": "one-homogeneity premise source-open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "one-homogeneous winding burden regularity", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q374", "symbol": "WBL1 vector map", "exact_form": "b_W=(kappa_1 |n|/4)1_4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN / ONE-HOMOGENEOUS NORM-LIKE CLASS", "next_gate": "derive kappa_1 and source homogeneity", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "WBL1 vector map", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q375", "symbol": "WBQ1 vector map", "exact_form": "b_W=(kappa_Q n^2/4)1_4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN / SMOOTH QUADRATIC CLASS", "next_gate": "derive kappa_Q and source smoothness/quadratic closure", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "WBQ1 vector map", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q376", "symbol": "context topological burden to matter burden", "exact_form": "D_pair,D_chain not=> C0 matter burden without typed bridge", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SHARED WORD BURDEN DOES NOT AUTHORIZE RETYPING", "next_gate": "derive explicit context/topology-to-matter burden map if needed", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "context topological burden to matter burden", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q377", "symbol": "pure winding formation source direction", "exact_form": "s_W=(dot f_W/4)1_4 under C4-symmetric pure winding source", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / UNIQUE UNIFORM SOURCE DIRECTION", "next_gate": "derive scalar source amplitude", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "pure winding formation source direction", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "O72", "symbol": "M_W_to_B status", "exact_form": "STRUCTURAL MAP CLOSED / SCALAR f_W OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / VECTOR AMBIGUITY REMOVED", "next_gate": "derive source/formation amplitude law", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "M_W_to_B status", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "O73", "symbol": "winding burden source-law admission", "exact_form": "linear-even no-go, smooth-even and one-homogeneous classes frozen", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / TARGET-BLIND REGULARITY GATE", "next_gate": "source regularity/homogeneity theorem", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "winding burden source-law admission", "reconciliation_notes": "v0.69 structural winding-to-burden map; scalar law source-open; physical promotion 0" }, { "id": "Q378", "symbol": "primitive winding formation increment", "exact_form": "epsilon_k=f_W(k+1)-f_W(k)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / DISCRETE SOURCE AMPLITUDE", "next_gate": "derive epsilon_k source law", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "primitive winding formation increment", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q379", "symbol": "winding burden telescoping law", "exact_form": "f_W(|n|)=sum_{k=0}^{|n|-1} epsilon_k, f_W(0)=0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT INTEGER SOURCE DECOMPOSITION", "next_gate": "amplitudes open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding burden telescoping law", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q380", "symbol": "primitive winding source vector", "exact_form": "s_B,W^(k)=(epsilon_k/4)1_4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ISOLATED C4-SYMMETRIC WINDING SOURCE", "next_gate": "derive epsilon_k", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "primitive winding source vector", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q381", "symbol": "source-stationary primitive formation theorem", "exact_form": "epsilon_k=kappa for all k => f_W=kappa|n|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SPF=>WBL1", "next_gate": "source stationarity not currently derived", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "source-stationary primitive formation theorem", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q382", "symbol": "WBQ1 formation increment law", "exact_form": "f=kappa_Q n^2 => epsilon_k=kappa_Q(2k+1)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ODD-INTEGER INCREMENT SEQUENCE", "next_gate": "quadratic source premise open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "WBQ1 formation increment law", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q383", "symbol": "winding second-difference source classifier", "exact_form": "Delta^2 f(k)=epsilon_(k+1)-epsilon_k; WBL1=0; WBQ1=2kappa_Q", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FORMATION-COST STATIONARITY TEST", "next_gate": "requires source amplitudes", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding second-difference source classifier", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q384", "symbol": "binary retention to burden amplitude", "exact_form": "G_i in {0,1} not=> epsilon_k", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / RETENTION DECISION-AMOUNT FIREWALL", "next_gate": "derive burden source magnitude separately", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "binary retention to burden amplitude", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q385", "symbol": "path independence to source stationarity", "exact_form": "final-state path independence not=> epsilon_k constant", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / REVERSAL CANCELLATION ONLY", "next_gate": "source-stationarity theorem required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "path independence to source stationarity", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q386", "symbol": "H_seed to winding event amplitude", "exact_form": "101/6 not=> epsilon_k", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / WHOLE-DEFECT THRESHOLD VS PRIMITIVE SOURCE TYPE FIREWALL", "next_gate": "no reuse without theorem", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "H_seed to winding event amplitude", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q387", "symbol": "SPF-1 formation source candidate", "exact_form": "epsilon_k=kappa_1 constant", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRE-SOURCE-AMPLITUDE / WBL1 EVENT FORM", "next_gate": "derive stationary event source", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "SPF-1 formation source candidate", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q388", "symbol": "QFI-1 formation source candidate", "exact_form": "epsilon_k=kappa_Q(2k+1)", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN PRE-SOURCE-AMPLITUDE / WBQ1 EVENT FORM", "next_gate": "derive smooth/metric formation source", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "QFI-1 formation source candidate", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "O74", "symbol": "winding formation source status", "exact_form": "EVENT-INCREMENT STRUCTURE CLOSED / epsilon_k SOURCE OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / SCALAR FUNCTION REDUCED TO SOURCE SEQUENCE", "next_gate": "derive local formation amplitude receipt", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "winding formation source status", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "O75", "symbol": "formation source test protocol", "exact_form": "freeze epsilon sequence and second differences before any physical comparison", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-SOURCE-AMPLITUDE", "next_gate": "execute when source amplitudes exist", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "formation source test protocol", "reconciliation_notes": "v0.70 winding formation source amplitude audit; physical promotion 0" }, { "id": "Q389", "symbol": "primitive winding displacement stationarity", "exact_form": "eta_(k+1)-eta_k=eta_1=(1/4)1_4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LOCAL GEOMETRIC STEP INDEPENDENT OF k", "next_gate": "source amplitude separately open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "primitive winding displacement stationarity", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q390", "symbol": "harmonic winding translation isometry", "exact_form": "d1,d2 depend only on n-m; T_r preserves distances", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / AFFINE GEOMETRY", "next_gate": "not full matter symmetry", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "harmonic winding translation isometry", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q391", "symbol": "winding-group automorphism set", "exact_form": "Aut(Z)={n->n,n->-n}; nonzero translations do not preserve identity 0", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / NEUTRAL-PRESERVING SYMMETRY", "next_gate": "translation not native group automorphism", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "winding-group automorphism set", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q392", "symbol": "full matter winding-translation symmetry", "exact_form": "current source does not imply n->n+m is matter/source symmetry", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / NEUTRAL AND CHARGE LABELS BREAK PROMOTION", "next_gate": "increment-only theorem required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "full matter winding-translation symmetry", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q393", "symbol": "absolute harmonic norm translation behavior", "exact_form": "||eta_n||_2^2=n^2/4; adjacent increment=(2k+1)/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / GLOBAL STATE COST BASE-k SENSITIVE", "next_gate": "supports lawful nonstationary source candidates", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "absolute harmonic norm translation behavior", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q394", "symbol": "increment-only source theorem", "exact_form": "epsilon_k=F(Delta eta_k,R_fixed) with no base-state dependence => epsilon_k constant => WBL1", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / WTS1=>SPF=>WBL1", "next_gate": "derive increment-only source locality", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "increment-only source theorem", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q395", "symbol": "translation geometry to burden stationarity", "exact_form": "affine translation covariance not=> epsilon_(k+m)=epsilon_k", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / GEOMETRY-SOURCE TYPE FIREWALL", "next_gate": "source factorization through increment required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "translation geometry to burden stationarity", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q396", "symbol": "WTS1 formation candidate", "exact_form": "epsilon_k=F(Delta eta_k,R_fixed), no eta_k/k dependence", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / EXACTLY CLOSES WBL1 IF SOURCE-DERIVED", "next_gate": "source formation locality theorem", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "WTS1 formation candidate", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "O76", "symbol": "winding stationarity audit status", "exact_form": "LOCAL AFFINE STATIONARITY CLOSED / FULL SOURCE STATIONARITY OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / WBL1 NOT PROMOTED", "next_gate": "derive or falsify WTS1", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "winding stationarity audit status", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "O77", "symbol": "winding translation stationarity protocol", "exact_form": "future stationarity claims must distinguish affine increment isometry from full matter translation symmetry", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / TYPE FIREWALL", "next_gate": "apply to new formation-source derivations", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "winding translation stationarity protocol", "reconciliation_notes": "v0.71 winding translation/stationarity audit; physical promotion 0" }, { "id": "Q397", "symbol": "local unit winding slip cochain", "exact_form": "delta_j,s=s e_j with period s", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / PRIMITIVE LIFTED TOPOLOGICAL EVENT", "next_gate": "microscopic realization separately open", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "local unit winding slip cochain", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q398", "symbol": "phase-slip harmonic projection", "exact_form": "P_H delta_j,s=eta_s=(s/4)1_4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / RETAINED WINDING INCREMENT EDGE-INDEPENDENT", "next_gate": "none internally", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip harmonic projection", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q399", "symbol": "phase-slip transient", "exact_form": "r_j,s=s e_j-eta_s; zero period; ||r||^2=3/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT HODGE TRANSIENT", "next_gate": "dynamical dissipation interpretation separately gated", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip transient", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q400", "symbol": "phase-slip norm split", "exact_form": "||delta||^2=1=1/4+3/4 retained harmonic + transient", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT ORTHOGONAL DECOMPOSITION", "next_gate": "not burden split", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip norm split", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q401", "symbol": "winding-change singularity gate", "exact_form": "continuous nonvanishing phase on fixed C4 cannot change integer n", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / PHASE SLIP OR CARRIER BREAK REQUIRED", "next_gate": "microscopic singularity source open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "winding-change singularity gate", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q402", "symbol": "2pi slip endpoint visibility", "exact_form": "exp(i(phi+2pi s))=exp(i phi); exponentiated link does not record lift jump", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ENDPOINT LINK CANNOT IDENTIFY PHASE-SLIP BRANCH", "next_gate": "retain lifted/singularity receipt", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "2pi slip endpoint visibility", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q403", "symbol": "local pre-slip winding background", "exact_form": "eta_k,j=k/4; lifted phase pi k/2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / BASE-k INFORMATION IS LOCALLY AVAILABLE", "next_gate": "source may lawfully depend on it", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "local pre-slip winding background", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q404", "symbol": "retained harmonic formation cost increment", "exact_form": "||eta_(k+1)||^2-||eta_k||^2=(2k+1)/4 = k/2+1/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT BACKGROUND INTERACTION RECEIPT", "next_gate": "not burden without coupling", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "retained harmonic formation cost increment", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q405", "symbol": "phase-slip locality to WTS1", "exact_form": "local slip event not=> increment-only burden source because local background k/4 is available", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / LOCALITY-STATIONARITY FIREWALL", "next_gate": "derive source factorization if WTS1 is claimed", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "phase-slip locality to WTS1", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q406", "symbol": "PS-I slip burden candidate", "exact_form": "epsilon_k depends only on harmonic innovation eta_1 => constant => WBL1", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / INNOVATION-ONLY SOURCE", "next_gate": "derive receipt selection", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "PS-I slip burden candidate", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q407", "symbol": "PS-Q slip burden candidate", "exact_form": "epsilon_k=mu_H[(||eta_k+1||^2-||eta_k||^2)] => WBQ1 after kappa_Q=mu_H/4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / STATE-COST SOURCE", "next_gate": "derive burden coupling to harmonic state cost", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "PS-Q slip burden candidate", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "O78", "symbol": "phase-slip formation event status", "exact_form": "TOPOLOGICAL EVENT CLOSED / MICROSCOPIC SINGULARITY AND BURDEN AMPLITUDE OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / FORMATION EVENT STRUCTURE", "next_gate": "derive source mechanism and amplitude selector", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "phase-slip formation event status", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "O79", "symbol": "phase-slip source discrimination protocol", "exact_form": "PS-I vs PS-Q frozen using epsilon1/epsilon0 =1 vs3", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-SOURCE-AMPLITUDE", "next_gate": "execute when source amplitudes exist", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "phase-slip source discrimination protocol", "reconciliation_notes": "v0.72 C4 phase-slip winding formation event; physical promotion 0" }, { "id": "Q408", "symbol": "phase-slip innovation receipt", "exact_form": "I=||P_H e_j||^2=1/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / NORMALIZED RETAINED HARMONIC SHARE", "next_gate": "not burden or physical energy", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip innovation receipt", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q409", "symbol": "phase-slip transient receipt", "exact_form": "T=||(I-P_H)e_j||^2=3/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / NORMALIZED ZERO-PERIOD TRANSIENT SHARE", "next_gate": "not burden loss", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip transient receipt", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q410", "symbol": "phase-slip background interaction", "exact_form": "B_k=2=k/2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / BASE-WINDING INTERACTION RECEIPT", "next_gate": "not burden without coupling", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip background interaction", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q411", "symbol": "phase-slip retained geometric increment", "exact_form": "I+B_k=(2k+1)/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / HARMONIC STATE-COST CHANGE", "next_gate": "PSC-Q coupling separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip retained geometric increment", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q412", "symbol": "phase-slip raw geometric increment", "exact_form": "I+T+B_k=1+k/2", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / RAW LOCAL NORM CHANGE", "next_gate": "PSC-R coupling separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "phase-slip raw geometric increment", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q413", "symbol": "harmonic projection collapse candidate", "exact_form": "U_HP=P_H; singular values {1,0,0,0}; gamma=1/4; ell=3/4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN / EXACT IF RELAXATION IS HARMONIC PROJECTION", "next_gate": "derive microscopic event map", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "harmonic projection collapse candidate", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q414", "symbol": "harmonic projection event type", "exact_form": "U_HP=P_H is rank/projection loss, not finite contraction", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / TRANSPORT TYPING", "next_gate": "microscopic identification open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "harmonic projection event type", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q415", "symbol": "phase-slip geometry to burden amplitude", "exact_form": "I,T,B_k not=> epsilon_k under current source laws", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SUPPORT-TRANSPORT-BURDEN TYPE FIREWALL", "next_gate": "derive constitutive selector", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "phase-slip geometry to burden amplitude", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q416", "symbol": "linear phase-slip receipt selector", "exact_form": "epsilon_k=alpha I+beta T+gamma B_k=A+Ck; A=(alpha+3beta)/4,C=gamma/2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / LINEAR RECEIPT FAMILY", "next_gate": "derive coefficients/source selection", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "linear phase-slip receipt selector", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q417", "symbol": "integrated affine winding burden family", "exact_form": "f_W(m)=A m+(C/2)m(m-1), m=|n|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / LINEAR RECEIPT SELECTOR", "next_gate": "source family selection open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "integrated affine winding burden family", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q418", "symbol": "innovation-transient coupling identifiability", "exact_form": "winding ladder identifies A but cannot separate alpha from beta", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / BOTH I,T ARE k-INDEPENDENT", "next_gate": "independent transient observable required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "innovation-transient coupling identifiability", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q419", "symbol": "WBL1 condition in receipt family", "exact_form": "C=0 (gamma=0) => f=A|n|", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NO BACKGROUND-SENSITIVE LINEAR RECEIPT", "next_gate": "constant source origin ambiguous", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "WBL1 condition in receipt family", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q420", "symbol": "WBQ1 condition in receipt family", "exact_form": "C=2A; retained state-cost coupling I+B_k satisfies exactly", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / QUADRATIC SUBFAMILY", "next_gate": "burden coupling to state cost not derived", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "WBQ1 condition in receipt family", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q421", "symbol": "PSC-R raw-slip burden candidate", "exact_form": "epsilon_k=mu_R(1+k/2) => f_W(m)=mu_R m(m+3)/4", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / HYBRID SHAPE", "next_gate": "derive whether transient contributes to burden", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "PSC-R raw-slip burden candidate", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "O80", "symbol": "support-collapse energetics audit status", "exact_form": "NORMALIZED GEOMETRY CLOSED / BURDEN SELECTOR OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO PHYSICAL ENERGY PROMOTION", "next_gate": "derive cross-carrier source coupling", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "support-collapse energetics audit status", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "O81", "symbol": "phase-slip support-collapse protocol", "exact_form": "future source must name typed receipt and event map before scoring", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / I-T-Bk TYPE FIREWALL", "next_gate": "execute on new constitutive source", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "phase-slip support-collapse protocol", "reconciliation_notes": "v0.73 phase-slip support-collapse energetics audit; physical promotion 0" }, { "id": "Q422", "symbol": "symmetric projection-loss burden output mode", "exact_form": "if isolated C4-equivariant bridge exists, B_P(T)=(g_P(T)/4)1_4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / VECTOR PLACEMENT", "next_gate": "constitutive g_P open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "symmetric projection-loss burden output mode", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q423", "symbol": "projection loss environment typing", "exact_form": "retained Gram defect / projection loss is complementary environment leakage under dilation semantics", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / DECLARED RETAINED-CHANNEL DILATION", "next_gate": "not retained burden", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "projection loss environment typing", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q424", "symbol": "projection-loss-to-burden current status", "exact_form": "T=3/4 not=> C0 burden source amplitude", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SUPPORT-TRANSPORT-BURDEN FIREWALL", "next_gate": "derive typed leakage/support-to-burden bridge", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "projection-loss-to-burden current status", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q425", "symbol": "PLB1 linear projection-loss bridge", "exact_form": "g_P(T)=kappa_P T => epsilon_k=3kappa_P/4 constant => WBL1 shape", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / COEFFICIENT OPEN", "next_gate": "derive bridge sign/normalization", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "PLB1 linear projection-loss bridge", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q426", "symbol": "harmonic winding state cost", "exact_form": "H_W(n)=||eta_n||^2=n^2/4; Delta H(k)=(2k+1)/4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT ZERO-MODE STATE COST", "next_gate": "not burden", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "harmonic winding state cost", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q427", "symbol": "symmetric harmonic-cost burden output mode", "exact_form": "if isolated C4-equivariant bridge exists, B_H(x)=(g_H(x)/4)1_4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / VECTOR PLACEMENT", "next_gate": "constitutive g_H open", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "symmetric harmonic-cost burden output mode", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q428", "symbol": "HCB1 linear harmonic-cost bridge", "exact_form": "g_H(x)=kappa_H x => epsilon_k=kappa_H(2k+1)/4 => WBQ1 shape", "claim_bin": "QUARANTINED_CANDIDATE", "status": "FROZEN TARGET-BLIND / COEFFICIENT OPEN", "next_gate": "derive support-state-cost-to-burden coupling", "use_class": "QUARANTINED", "claim_bin_meaning": "Promising or historically important candidate retained for testing but blocked from mainline use as settled canon.", "display_symbol": "HCB1 linear harmonic-cost bridge", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q429", "symbol": "active Hodge action to harmonic winding burden coefficient", "exact_form": "omega>0 active action not=> kappa_H on winding zero mode", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / ZERO-MODE ACTION TYPE FIREWALL", "next_gate": "derive separate harmonic-sector source law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "active Hodge action to harmonic winding burden coefficient", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q430", "symbol": "burden-gradient visibility of uniform winding burden", "exact_form": "B^T b_W=0 and P_perp b_W=0 for b_W proportional 1_4", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CURRENT BURDEN CONTRAST GEOMETRY BLIND TO ABSOLUTE WINDING STOCK", "next_gate": "need source/formation receipt", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "burden-gradient visibility of uniform winding burden", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q431", "symbol": "quadratic burden geometry to harmonic-cost coupling", "exact_form": "current burden quadratic contrast/gradient functionals not=> kappa_H", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SHARED QUADRATICITY IS NOT A BRIDGE", "next_gate": "derive typed support-to-burden source coupling", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "quadratic burden geometry to harmonic-cost coupling", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q432", "symbol": "parallel primitive source ratio", "exact_form": "PLB1 predicts epsilon1/epsilon0=1; HCB1 predicts 3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / LINEAR BRIDGE CLASSES", "next_gate": "source amplitudes required", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if the stated source/addendum/assumptions hold; not unconditional canon outside that scope.", "display_symbol": "parallel primitive source ratio", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "O82", "symbol": "parallel burden bridge status", "exact_form": "BOTH STRUCTURAL OUTPUT FORMS CLOSED / BOTH CONSTITUTIVE COUPLINGS OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO MODEL PREFERENCE", "next_gate": "derive independent cross-carrier coupling", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "A locked closure/status statement rather than a numerical coefficient.", "display_symbol": "parallel burden bridge status", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "O83", "symbol": "parallel bridge admission protocol", "exact_form": "projection-loss and harmonic-cost routes must name typed bridge, sign, normalization, zero-mode applicability", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / TARGET-BLIND", "next_gate": "apply to future constitutive derivation", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Simulation/method control only; never silently promote to a theory constant.", "display_symbol": "parallel bridge admission protocol", "reconciliation_notes": "v0.74 parallel support-loss/harmonic-cost burden bridge audit; physical promotion 0" }, { "id": "Q433", "symbol": "joint source-event controls", "exact_form": "E0:n0->1; E1:n1->2; matched non-winding coordinates", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRETARGET", "next_gate": "independent returns", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "joint source-event controls", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q434", "symbol": "independent leakage channel", "exact_form": "Lambda_k returned from support/transport/environment channel", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NOT DERIVED FROM BURDEN", "next_gate": "source return", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "independent leakage channel", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q435", "symbol": "independent burden channel", "exact_form": "epsilon_k returned independently in C0 burden carrier", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NOT DERIVED FROM LEAKAGE OR HARMONIC COST", "next_gate": "source return", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "independent burden channel", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q436", "symbol": "primary burden ratio", "exact_form": "R_B=epsilon1/epsilon0; matched PLB1=1, HCB1=3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / epsilon0 nonzero", "next_gate": "burden data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions hold; not unconditional canon outside scope.", "display_symbol": "primary burden ratio", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q437", "symbol": "leakage ratio", "exact_form": "R_Lambda=Lambda1/Lambda0; HP-collapse=1", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / Lambda0 nonzero", "next_gate": "leakage data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions hold; not unconditional canon outside scope.", "display_symbol": "leakage ratio", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q438", "symbol": "projection residual", "exact_form": "D_P=epsilon1 Lambda0-epsilon0 Lambda1; PLB1=>0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "score", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions hold; not unconditional canon outside scope.", "display_symbol": "projection residual", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q439", "symbol": "harmonic residual", "exact_form": "D_H=epsilon1-3epsilon0; HCB1=>0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "score", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions hold; not unconditional canon outside scope.", "display_symbol": "harmonic residual", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q440", "symbol": "joint double ratio", "exact_form": "J=(epsilon1 Lambda0)/(epsilon0 Lambda1); PLB1=>1; stationary-leak HCB1=>3", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "joint score", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions hold; not unconditional canon outside scope.", "display_symbol": "joint double ratio", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q441", "symbol": "simple-model mutual exclusivity", "exact_form": "matched nonzero leakage + epsilon0 nonzero => PLB1 and HCB1 cannot both pass", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT 1-vs-3 separation", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "simple-model mutual exclusivity", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q442", "symbol": "zero-base gate", "exact_form": "epsilon0=0 => NO_SCORE_ZERO_BASE_BURDEN", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO DIVISION REPAIR", "next_gate": "new event", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "zero-base gate", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q443", "symbol": "empirical threshold governance", "exact_form": "empirical uncertainty rule must be preregistered separately before endpoint burden exposure", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO POSTTARGET TOLERANCE", "next_gate": "v0.2 if empirical", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "empirical threshold governance", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "O84", "symbol": "joint discriminator status", "exact_form": "FROZEN PRETARGET / EXECUTABLE EXACT SCORER / NO EMPIRICAL DATA SCORED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / READY", "next_gate": "obtain returns", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "joint discriminator status", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "O85", "symbol": "joint discriminator verdict family", "exact_form": "PLB1_PASS, HCB1_PASS, NEITHER, AMBIGUOUS, or NO_SCORE only", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO MODEL SHOPPING", "next_gate": "execute on returns", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "joint discriminator verdict family", "reconciliation_notes": "v0.75 joint phase-slip source-event discriminator; physical promotion 0" }, { "id": "Q444", "symbol": "independent provider separation", "exact_form": "leakage and burden channels executed by separate provider processes and request contracts", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / INTERFACE-LEVEL INDEPENDENCE", "next_gate": "external declaration still required for opaque providers", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "independent provider separation", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q445", "symbol": "burden-provider forbidden inputs", "exact_form": "burden request excludes Lambda, leakage, Delta_H, harmonic-cost, PLB1/HCB1 labels and target ratios", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / ANTI-CIRCULARITY FIREWALL", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "burden-provider forbidden inputs", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q446", "symbol": "leakage-provider forbidden inputs", "exact_form": "leakage request excludes burden/epsilon and model labels", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / CHANNEL FIREWALL", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "leakage-provider forbidden inputs", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q447", "symbol": "provider source hash freeze", "exact_form": "provider executable SHA-256 frozen before execution and checked after execution", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / CUSTODY", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "provider source hash freeze", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q448", "symbol": "return hash freeze", "exact_form": "provider outputs hash-frozen before joint merge", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / CUSTODY", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "return hash freeze", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q449", "symbol": "scientific burden provider completeness", "exact_form": "direct homogeneous mixing zero provider is a negative control, not full winding burden source", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SUBCHANNEL CANNOT BE PROMOTED", "next_gate": "derive full burden provider", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "scientific burden provider completeness", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q450", "symbol": "HP leakage reference provider", "exact_form": "returns Lambda0=Lambda1=3/4 under candidate U_HP=P_H", "claim_bin": "PROTOCOL_CONTROL", "status": "REFERENCE CANDIDATE ONLY / NOT MICROSCOPICALLY ESTABLISHED", "next_gate": "replace with independent provider if available", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "HP leakage reference provider", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q451", "symbol": "scientific negative-control interface result", "exact_form": "HP leakage + winding-blind burden control => NO_SCORE_ZERO_BASE_BURDEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO FABRICATED SCORE", "next_gate": "source complete burden provider required", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "scientific negative-control interface result", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q452", "symbol": "synthetic-provider governance", "exact_form": "synthetic providers allowed only in SYNTHETIC_VALIDATION mode", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NEVER SCIENTIFIC", "next_gate": "method validation only", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "synthetic-provider governance", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "O86", "symbol": "independent source-return interface status", "exact_form": "READY / SCIENTIFIC BURDEN PROVIDER OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / EXECUTABLE CUSTODY LAYER", "next_gate": "connect source-complete burden provider", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "independent source-return interface status", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "O87", "symbol": "source-return custody manifest", "exact_form": "event, scorer, providers, requests, returns, joint file and score all SHA-256 recorded", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / APPEND-ONLY CUSTODY", "next_gate": "use on every run", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "source-return custody manifest", "reconciliation_notes": "v0.76 independent source-return simulator interface; physical promotion 0" }, { "id": "Q453", "symbol": "native burden source receipt", "exact_form": "s_B=Delta rho-BJ_B", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT SOURCE RESIDUAL", "next_gate": "predictive source law separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "native burden source receipt", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q454", "symbol": "isolated winding burden source", "exact_form": "s_B,W=s_B-s_B,other", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / OTHER SOURCE COMPLETE OR EXPLICIT ZERO", "next_gate": "source tags required", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions/source receipts hold.", "display_symbol": "isolated winding burden source", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q455", "symbol": "winding source amplitude extraction", "exact_form": "epsilon=1^T s_B,W", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ISOLATED SOURCE", "next_gate": "independent receipts", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions/source receipts hold.", "display_symbol": "winding source amplitude extraction", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q456", "symbol": "uniform winding-source purity", "exact_form": "P_perp s_B,W=0 equivalent to four equal vertex source entries", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / C4-SYMMETRIC ISOLATED WINDING LANE", "next_gate": "reject contamination", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions/source receipts hold.", "display_symbol": "uniform winding-source purity", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q457", "symbol": "incidence flux total cancellation", "exact_form": "1^T B J_B=0 for valid incidence", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / INTERNAL REDISTRIBUTION ZERO TOTAL", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "incidence flux total cancellation", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q458", "symbol": "missing other-source zero assumption", "exact_form": "absent s_B,other not=>0", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SOURCE COMPLETENESS FIREWALL", "next_gate": "explicit tag required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "missing other-source zero assumption", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q459", "symbol": "nonuniform residual repair", "exact_form": "nonuniform s_B,W may not be projected to uniform winding source for scoring", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTAMINATION FIREWALL", "next_gate": "new source decomposition required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "nonuniform residual repair", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q460", "symbol": "native burden receipt provider", "exact_form": "scientific provider maps source-complete rho-/rho+/J_B/s_other receipts to epsilon without leakage/model inputs", "claim_bin": "PROTOCOL_CONTROL", "status": "IMPLEMENTED / HASHABLE PROVIDER", "next_gate": "connect scientific returns", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "native burden receipt provider", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q461", "symbol": "receipt provider predictive scope", "exact_form": "source-return extraction not=> predictive pre-event formation law", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / RECEIPT-vs-PREDICTION FIREWALL", "next_gate": "derive pre-event law separately", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "receipt provider predictive scope", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "O88", "symbol": "native burden provider status", "exact_form": "IMPLEMENTED / SCIENTIFIC WHEN NATIVE RECEIPTS ARE SCIENTIFIC", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / FIRST ADMISSIBLE BURDEN RETURN PROVIDER", "next_gate": "obtain independent receipts", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "native burden provider status", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "O89", "symbol": "native burden provider validation", "exact_form": "synthetic exact extraction PASS; nonuniform contamination rejection PASS; end-to-end interface PASS", "claim_bin": "PROTOCOL_CONTROL", "status": "METHOD VALIDATION ONLY", "next_gate": "scientific data next", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "native burden provider validation", "reconciliation_notes": "v0.77 native burden source-receipt provider; physical promotion 0" }, { "id": "Q462", "symbol": "native E0/E1 runtime receipt availability", "exact_form": "0 genuine complete native receipts found outside synthetic provider fixtures", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / SOURCE AUDIT", "next_gate": "purpose-built/source independent receipts required", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "native E0/E1 runtime receipt availability", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q463", "symbol": "public phase-slip upstream sources", "exact_form": "phase-slip public data exist but lack UD C0 burden receipt fields", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / UPSTREAM CANDIDATES ONLY", "next_gate": "derive measurement-to-burden bridge", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "public phase-slip upstream sources", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q464", "symbol": "physical measurement to native burden", "exact_form": "public observable not=> C0 burden without M_meas_to_B", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / PHYSICAL-TO-NATIVE TYPE FIREWALL", "next_gate": "derive M_meas_to_B", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "physical measurement to native burden", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q465", "symbol": "predictive winding source family", "exact_form": "s_B,W^pred=(Phi(R^-)/4)1_4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / FORM CLOSED AMPLITUDE OPEN", "next_gate": "derive Phi", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions/source receipts hold.", "display_symbol": "predictive winding source family", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q466", "symbol": "predictive amplitude nonidentifiability", "exact_form": "for arbitrary allowed Phi, rho+=rho-+BJ+s_other+(Phi/4)1 satisfies current balance", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / CONTINUITY DOES NOT SELECT Phi", "next_gate": "new scalar constitutive equation", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "predictive amplitude nonidentifiability", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q467", "symbol": "pre-event structural receipts to epsilon", "exact_form": "R^- not=> epsilon_k under current source grammar", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SOURCE AMPLITUDE FIREWALL", "next_gate": "constitutive theorem/model/generator", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "pre-event structural receipts to epsilon", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q468", "symbol": "positive-source sign rule", "exact_form": "if event is independently tagged positive source then Phi>=0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SIGN ONLY", "next_gate": "does not determine magnitude", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions/source receipts hold.", "display_symbol": "positive-source sign rule", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q469", "symbol": "phase-slip receipt basis to predictive amplitude", "exact_form": "I,T,B_k do not select Phi without typed burden coupling", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / RECEIPT-COUPLING FIREWALL", "next_gate": "derive coupling", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "phase-slip receipt basis to predictive amplitude", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q470", "symbol": "predictive source re-entry routes", "exact_form": "P1 theorem; P2 preregistered independent empirical constitutive model; P3 coupled generator", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / PRE-ENDPOINT", "next_gate": "execute one route", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote to theory constant.", "display_symbol": "predictive source re-entry routes", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q471", "symbol": "receipt extraction vs prediction", "exact_form": "post-event s_B extraction not=> pre-event source prediction", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / TEMPORAL PROVENANCE FIREWALL", "next_gate": "derive pre-event law", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "receipt extraction vs prediction", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "O90", "symbol": "independent native receipt sourcing status", "exact_form": "SOURCE-BLOCKED / PUBLIC UPSTREAM DATA INADMISSIBLE WITHOUT BRIDGE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "measurement bridge or purpose-built native source", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "independent native receipt sourcing status", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "O91", "symbol": "predictive burden formation law status", "exact_form": "DIRECTION CLOSED / AMPLITUDE NONIDENTIFIABLE / ONE SCALAR EQUATION MISSING", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "derive Phi source-completely", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked closure/status statement rather than numerical coefficient.", "display_symbol": "predictive burden formation law status", "reconciliation_notes": "v0.78 native receipt sourcing + predictive source nonidentifiability; physical promotion 0" }, { "id": "Q473", "symbol": "public phase-slip calorimetry receipt", "exact_form": "time-resolved electron temperature/calibrated heat is a physical event receipt", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PHYSICAL CALORIMETRY EXISTS", "next_gate": "measurement ontology bridge separate", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "public phase-slip calorimetry receipt", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q474", "symbol": "scalar calorimetry to C4 burden output mode", "exact_form": "C4-equivariant scalar bridge has Delta rho=(g_E(Qps)/4)1_4", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / NO VERTEX ASYMMETRY RECEIPT", "next_gate": "derive g_E", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions or bridge declaration hold.", "display_symbol": "scalar calorimetry to C4 burden output mode", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q475", "symbol": "CAL-BML1 energy-normalized bridge", "exact_form": "g_E(Q)=Q/E_B with independent pretarget E_B", "claim_bin": "QUARANTINED_CANDIDATE", "status": "POSTULATED_BRIDGE / BML-CAL-1", "next_gate": "independent E_B calibration", "use_class": "QUARANTINED", "claim_bin_meaning": "Candidate retained for testing but blocked from settled canon.", "display_symbol": "CAL-BML1 energy-normalized bridge", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q476", "symbol": "calorimetry native rho availability", "exact_form": "public corpus does not directly provide four C0 burden coordinates", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / SINGLE ABSORBER MEASUREMENT", "next_gate": "bridge required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "calorimetry native rho availability", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q477", "symbol": "calorimetry native J_B availability", "exact_form": "public corpus does not provide four-edge internal burden flux vector", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / THERMAL BATH FLOW IS DIFFERENT TYPE", "next_gate": "native flux instrumentation required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "calorimetry native J_B availability", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q478", "symbol": "calorimetry E0/E1 availability", "exact_form": "public corpus does not source-label matched native 0->1 and1->2 C4 controls", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / EVENT ONTOLOGY MISMATCH", "next_gate": "new matched dataset required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "A specific inference is ruled out under current definitions/assumptions.", "display_symbol": "calorimetry E0/E1 availability", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q479", "symbol": "native C4 bench incidence", "exact_form": "B=[[\u22121,0,0,1],[1,\u22121,0,0],[0,1,\u22121,0],[0,0,1,\u22121]]", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / DIRECT RECEIPT CARRIER", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "native C4 bench incidence", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q480", "symbol": "native bench receipt balance", "exact_form": "rho+\u2212rho\u2212=B J_B+s_other+s_W", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / DIRECT INSTRUMENTATION GRAMMAR", "next_gate": "hardware/source execution", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal mathematical relation; physical mapping remains separate unless explicitly stated.", "display_symbol": "native bench receipt balance", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q481", "symbol": "native bench source extraction", "exact_form": "s_W=Delta rho\u2212B J_B\u2212s_other; epsilon=1^T s_W with uniformity gate", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SOURCE-COMPLETE RECEIPT", "next_gate": "instrument returns", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated assumptions or bridge declaration hold.", "display_symbol": "native bench source extraction", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q482", "symbol": "native bench hardware operational bridge", "exact_form": "rho_i=(X_i\u2212X_i_ref)/X_B in engineered analog", "claim_bin": "QUARANTINED_CANDIDATE", "status": "BML-NATIVE-BENCH / OPERATIONAL ANALOG ONLY", "next_gate": "hardware implementation", "use_class": "QUARANTINED", "claim_bin_meaning": "Candidate retained for testing but blocked from settled canon.", "display_symbol": "native bench hardware operational bridge", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q483", "symbol": "native simulator validation ratios", "exact_form": "synthetic constant=1, quadratic=3, hybrid=3/2", "claim_bin": "PROTOCOL_CONTROL", "status": "METHOD VALIDATION ONLY", "next_gate": "never scientific", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote.", "display_symbol": "native simulator validation ratios", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q484", "symbol": "real hardware execution status", "exact_form": "REAL_HARDWARE_EXECUTED=FALSE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO HARDWARE CLAIM", "next_gate": "build/run bench", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "real hardware execution status", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "O92", "symbol": "calorimetry bridge status", "exact_form": "PHYSICAL HEAT RECEIPT PASS / NATIVE BURDEN BRIDGE OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / RETROSPECTIVE CORPUS TYPE-BLOCKED", "next_gate": "derive/validate measurement bridge", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "calorimetry bridge status", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "O93", "symbol": "native bench status", "exact_form": "SIMULATOR READY / HARDWARE SPEC READY / NOT EXECUTED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / DIRECT NATIVE RECEIPT PATH", "next_gate": "execute independent hardware/source run", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "native bench status", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "O94", "symbol": "dual-route governance", "exact_form": "retrospective physical mapping and engineered native analog remain separate provenance lanes", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO SILENT PROMOTION", "next_gate": "physical bridge remains 0", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only; never silently promote.", "display_symbol": "dual-route governance", "reconciliation_notes": "v0.79 calorimetry measurement bridge + native C4 bench; physical promotion 0" }, { "id": "Q485", "symbol": "operational electrostatic burden stock", "exact_form": "rho_i=[1/2 C_i(V_i-Vref)^2]/E_B_op", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / ENGINEERED ENERGY ANALOG", "next_gate": "physical matter identity separate", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated operational/bridge assumptions hold.", "display_symbol": "operational electrostatic burden stock", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q486", "symbol": "operational burden-energy calibration", "exact_form": "E_B_op=1/2 C_B_cert V_B_cert^2", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / CALIBRATED REFERENCE", "next_gate": "actual certificate required", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated operational/bridge assumptions hold.", "display_symbol": "operational burden-energy calibration", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q487", "symbol": "operational energy flux", "exact_form": "J_B,e=(1/E_B_op) integral P_e dt", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / DIRECTIONAL POWER INTEGRATION", "next_gate": "calibration required", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated operational/bridge assumptions hold.", "display_symbol": "operational energy flux", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q488", "symbol": "E_B relative uncertainty", "exact_form": "u_r^2(E_B)=u_r^2(C)+4u_r^2(V)+4r u_r(C)u_r(V)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FIRST-ORDER PROPAGATION", "next_gate": "actual covariance required", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "E_B relative uncertainty", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q489", "symbol": "blind energy-bench emulation", "exact_form": "source hash precommit -> event generation -> burden extraction -> score -> reveal", "claim_bin": "PROTOCOL_CONTROL", "status": "PASS METHOD VALIDATION ONLY", "next_gate": "real hardware next", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "blind energy-bench emulation", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q490", "symbol": "blind energy-bench hardware status", "exact_form": "REAL_HARDWARE_EXECUTED=FALSE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO HARDWARE OVERCLAIM", "next_gate": "instrumented execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "blind energy-bench hardware status", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q491", "symbol": "CAL-BML1 matched ratio", "exact_form": "common E_B => epsilon1/epsilon0=Q1/Q0", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SAME CALIBRATION AND ONTOLOGY", "next_gate": "matched heat events", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated operational/bridge assumptions hold.", "display_symbol": "CAL-BML1 matched ratio", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q492", "symbol": "operational vs universal E_B", "exact_form": "E_B_op not=> universal physical burden-energy unit", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / DEVICE ANALOG FIREWALL", "next_gate": "independent universal bridge", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "operational vs universal E_B", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q493", "symbol": "isolated ring adjacent fluxoid platform", "exact_form": "single isolated flux-biased ring supports metastable n branches and n->n\u00b11 phase-slip transitions", "claim_bin": "LOCKED_STATUS", "status": "EXTERNAL EMPIRICAL PLATFORM", "next_gate": "add calorimetry", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "isolated ring adjacent fluxoid platform", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q494", "symbol": "single phase-slip heat platform", "exact_form": "Josephson nanocalorimeter resolves individual phase-slip heat", "claim_bin": "LOCKED_STATUS", "status": "EXTERNAL EMPIRICAL PLATFORM", "next_gate": "add explicit matched n labels", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "single phase-slip heat platform", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; physical promotion 0" }, { "id": "Q495", "symbol": "public combined matched calorimetry corpus", "exact_form": "no public corpus located combines explicit matched 0->1/1->2 labels with single-event heat on same device", "claim_bin": "LOCKED_STATUS", "status": "SOURCE AUDIT RESULT / NONEXHAUSTIVE WEB SEARCH", "next_gate": "new hybrid experiment", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "public combined matched calorimetry corpus", "reconciliation_notes": "v0.80 SI energy bench + E_B calibration + matched fluxoid calorimetry frontier; 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physical promotion 0" }, { "id": "Q510", "symbol": "hardware execution status", "exact_form": "REAL_HARDWARE_EXECUTED=FALSE at v0.81 freeze", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO OVERCLAIM", "next_gate": "external lab execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hardware execution status", "reconciliation_notes": "v0.81 laboratory-ready real-hardware native energy-bench package; physical promotion 0" }, { "id": "O98", "symbol": "lab execution package status", "exact_form": "LABORATORY-READY / topology+calibration+timing+blind runbook complete", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "external lab run", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "lab execution package status", "reconciliation_notes": "v0.81 laboratory-ready real-hardware native energy-bench package; physical promotion 0" }, { "id": "O99", "symbol": "lab acquisition packet custody", "exact_form": "public acquisition packet excludes E0/E1 mapping", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / SEPARATE DISTRIBUTION", "next_gate": "send acquisition team", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "lab acquisition packet custody", "reconciliation_notes": "v0.81 laboratory-ready real-hardware native energy-bench package; physical promotion 0" }, { "id": "O100", "symbol": "state-preparation custody packet", "exact_form": "private mapping held separately and revealed only after data freeze", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / PRIVATE CUSTODY", "next_gate": "state-prep custodian", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "state-preparation custody packet", "reconciliation_notes": "v0.81 laboratory-ready real-hardware native energy-bench package; physical promotion 0" }, { "id": "Q511", "symbol": "empirical primary sample gate", "exact_form": "24 valid primary runs =12 E0+12 E1 in six blocks, 2+2 per block", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PREUNBLIND", "next_gate": "replace invalid runs append-only", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical primary sample gate", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q512", "symbol": "PLB1 empirical model", "exact_form": "epsilon_i=kappa_P Lambda_i", "claim_bin": "EXACT_CONDITIONAL", "status": "FROZEN SIMPLE BRIDGE MODEL", "next_gate": "fit one coefficient", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "PLB1 empirical model", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q513", "symbol": "PLB1 residual variance", "exact_form": "vP=u_epsilon^2+kappa_P^2 u_Lambda^2-2 kappa_P cov(epsilon,Lambda)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / DELTA PROPAGATION", "next_gate": "declared covariance", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "PLB1 residual variance", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q514", "symbol": "HCB1 empirical model", "exact_form": "epsilon_i=kappa_H d_i; d=1/4 E0,3/4 E1", "claim_bin": "EXACT_CONDITIONAL", "status": "FROZEN SIMPLE BRIDGE MODEL", "next_gate": "fit one coefficient", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "HCB1 empirical model", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q515", "symbol": "HCB1 weighted coefficient", "exact_form": "kappa_H=sum(d epsilon/u^2)/sum(d^2/u^2)", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / THROUGH-ORIGIN WLS", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal/statistical relation; physical mapping remains separate.", "display_symbol": "HCB1 weighted coefficient", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q516", "symbol": "empirical absolute-fit gate", "exact_form": "p_chi2(df=23)>=0.01", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / FALSE-REJECTION CONTROL", "next_gate": "no posttarget change", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical absolute-fit gate", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q517", "symbol": "empirical strong preference gate", "exact_form": "|Delta AICc|>=10", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / STRONG INFORMATION CRITERION", "next_gate": "no posttarget change", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical strong preference gate", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q518", "symbol": "empirical HCB1 pass", "exact_form": "p_H>=0.01 and DeltaAICc>=10", "claim_bin": "EXACT_CONDITIONAL", "status": "FROZEN VERDICT RULE", "next_gate": "hardware data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "empirical HCB1 pass", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q519", "symbol": "empirical PLB1 pass", "exact_form": "p_P>=0.01 and DeltaAICc<=-10", "claim_bin": "EXACT_CONDITIONAL", "status": "FROZEN VERDICT RULE", "next_gate": "hardware data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "empirical PLB1 pass", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q520", "symbol": "empirical neither rule", "exact_form": "p_P<0.01 and p_H<0.01", "claim_bin": "EXACT_CONDITIONAL", "status": "FROZEN VERDICT RULE", "next_gate": "hardware data", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated statistical assumptions/inputs hold.", "display_symbol": "empirical neither rule", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q521", "symbol": "empirical indeterminate rule", "exact_form": "all other source-complete cases", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO MODEL SHOPPING", "next_gate": "additional independent data only", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical indeterminate rule", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q522", "symbol": "extra-scatter postfit rule", "exact_form": "no fitted between-run extra scatter/noise parameter", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / UNCERTAINTY COMPLETENESS FIREWALL", "next_gate": "predeclared uncertainty model required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference or post-exposure repair ruled out.", "display_symbol": "extra-scatter postfit rule", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q523", "symbol": "post-unblind intercept rule", "exact_form": "no intercept/nonlinear repair after endpoint exposure", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_LOCK / MODEL FREEZE", "next_gate": "new prereg version required", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference or post-exposure repair ruled out.", "display_symbol": "post-unblind intercept rule", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q524", "symbol": "empirical uncertainty completeness", "exact_form": "known-incomplete uncertainty model => NO_SCORE", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / NO RESIDUAL-DERIVED TOLERANCE", "next_gate": "lab uncertainty freeze", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical uncertainty completeness", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q525", "symbol": "empirical diagnostics", "exact_form": "weighted R_B,R_Lambda, leakage z and per-run standardized residuals are non-verdict diagnostics", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / DIAGNOSTIC ONLY", "next_gate": "none", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Frozen method/control; not a physical constant.", "display_symbol": "empirical diagnostics", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "O101", "symbol": "empirical scorer status", "exact_form": "v0.2 FROZEN PRE-HARDWARE-UNBLIND / SYNTHETIC VALIDATION PASS", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "real hardware returns", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "empirical scorer status", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "O102", "symbol": "lab handoff watch status", "exact_form": "hourly condition watch enabled for six split-role contacts", "claim_bin": "LOCKED_STATUS", "status": "ACTIVE / NOTIFY ON SUBSTANTIVE REPLY", "next_gate": "external reply", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "lab handoff watch status", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "O103", "symbol": "hardware endpoint score status", "exact_form": "NO REAL HARDWARE ENDPOINTS SCORED AT v0.82 FREEZE", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / PHYSICAL0", "next_gate": "external lab execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hardware endpoint score status", "reconciliation_notes": "v0.82 empirical/noisy joint source-event scorer frozen pre-hardware-unblind; physical promotion 0" }, { "id": "Q526", "symbol": "native run source reduction", "exact_form": "y=rho+\u2212rho\u2212\u2212BJ_B\u2212s_other; epsilon=1^T y", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SOURCE-COMPLETE NATIVE RECEIPT", "next_gate": "lab returns", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated receipt/covariance assumptions hold.", "display_symbol": "native run source reduction", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q527", "symbol": "native source covariance propagation", "exact_form": "C_y=A C_x A^T for A=[\u2212I,I,\u2212B,\u2212I]", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / LINEAR COVARIANCE PROPAGATION", "next_gate": "16x16 covariance", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "native source covariance propagation", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q528", "symbol": "empirical epsilon uncertainty", "exact_form": "u_epsilon^2=1^T C_y 1", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK", "next_gate": "lab covariance", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "empirical epsilon uncertainty", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q529", "symbol": "empirical source-purity statistic", "exact_form": "Q=r^T C_r^+ r on P_perp source contrast", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / GAUSSIAN COVARIANCE TEST", "next_gate": "lab covariance", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated receipt/covariance assumptions hold.", "display_symbol": "empirical source-purity statistic", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q530", "symbol": "source-purity admission threshold", "exact_form": "p_purity>=0.01", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRE-HARDWARE / NOT UD CONSTANT", "next_gate": "adapter", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "source-purity admission threshold", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q531", "symbol": "cross-channel covariance gate", "exact_form": "cov(epsilon,Lambda) explicit numeric; zero not assumed", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / UNCERTAINTY FIREWALL", "next_gate": "lab return", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "cross-channel covariance gate", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q532", "symbol": "post-freeze event-label merge", "exact_form": "E0/E1 loaded only from private state key after unblind authorization", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / CUSTODY FIREWALL", "next_gate": "external returns", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "post-freeze event-label merge", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q533", "symbol": "adapter partial-return rule", "exact_form": "<24 valid primary runs => PENDING_PRIMARY_SET; no v0.2 score", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN", "next_gate": "complete dataset", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "adapter partial-return rule", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q534", "symbol": "adapter validation", "exact_form": "synthetic 24-run native returns reduce to PLB1 empirical pass without manual epsilon/event labels", "claim_bin": "PROTOCOL_CONTROL", "status": "METHOD VALIDATION ONLY", "next_gate": "real returns", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "adapter validation", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q535", "symbol": "hybrid calorimetry public blinding", "exact_form": "public feasibility packet excludes 1-vs-3 model targets", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN / ACQUISITION BLINDING", "next_gate": "outreach", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "hybrid calorimetry public blinding", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q536", "symbol": "hybrid calorimetry private targets", "exact_form": "private matched heat-ratio targets Q1/Q0=1 and3", "claim_bin": "PROTOCOL_CONTROL", "status": "FROZEN PRIVATE PREREG", "next_gate": "physical experiment", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "hybrid calorimetry private targets", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q537", "symbol": "hybrid target capability split", "exact_form": "ring-state control + phase-slip nanocalorimetry + thermometry review", "claim_bin": "LOCKED_STATUS", "status": "CURRENT OUTREACH ARCHITECTURE", "next_gate": "feasibility responses", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hybrid target capability split", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q538", "symbol": "hybrid outreach send status", "exact_form": "new hybrid outreach emails prepared but not sent", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO SEND OVERCLAIM", "next_gate": "user authorization/send", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hybrid outreach send status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q539", "symbol": "hybrid physical promotion status", "exact_form": "PHYSICAL PROMOTION remains0", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "independent physical bridge", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hybrid physical promotion status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "O104", "symbol": "real-lab ingestion adapter status", "exact_form": "READY / SYNTHETIC VALIDATION PASS / REAL RETURNS PENDING", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "lab returns", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "real-lab ingestion adapter status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "O105", "symbol": "hybrid outreach package status", "exact_form": "PUBLIC+CUSTODY PACKETS READY / NOT SENT", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "outreach", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hybrid outreach package status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "O106", "symbol": "hardware empirical endpoint status", "exact_form": "REAL HARDWARE ENDPOINTS SCORED=0", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "external execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "hardware empirical endpoint status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "O107", "symbol": "combined milestone status", "exact_form": "INGESTION AND OUTREACH INFRASTRUCTURE CLOSED / PHYSICAL DATA OPEN", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "external experiment", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "combined milestone status", "reconciliation_notes": "v0.83 real-lab ingestion adapter + hybrid ring-calorimetry outreach; physical promotion 0" }, { "id": "Q540", "symbol": "optical training Hasse graph", "exact_form": "15 nodes,14 training edges, connected acyclic spanning tree", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FROZEN CSV", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "optical training Hasse graph", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q541", "symbol": "signless training matrix rank", "exact_form": "rank S=14 for rows e_i+e_j", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "signless training matrix rank", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q542", "symbol": "signless nullspace gauge", "exact_form": "null S=span{pi}, pi alternating by Hasse dimension parity", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT", "next_gate": "root gauge fix", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "signless nullspace gauge", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q543", "symbol": "global additive signless gauge claim", "exact_form": "x->x+C1 is not a null gauge of x_i+x_j equations", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_FREEZE / NARRATIVE REPAIR", "next_gate": "use parity gauge", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "global additive signless gauge claim", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q544", "symbol": "training Gram determinant", "exact_form": "det(S S^T)=15", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "training Gram determinant", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q545", "symbol": "training signless condition number", "exact_form": "kappa2(S)=6.834745283189876... exact algebraic root ratio", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CONDITION DIAGNOSTIC", "next_gate": "uncertainty propagation", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "training signless condition number", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q546", "symbol": "oriented/signless spectral equivalence", "exact_form": "D=S Sigma on bipartite Hasse graph, hence identical singular values", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / EXACT", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "oriented/signless spectral equivalence", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q547", "symbol": "root-augmented optical system", "exact_form": "[S;e0^T] rank15 and determinant1 for root C0[0]", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ROOT PROBE FIXES PARITY GAUGE", "next_gate": "source-certified root probe", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "root-augmented optical system", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q548", "symbol": "root-augmented condition number", "exact_form": "kappa2([S;e0^T])=11.8301910993947...", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / CONDITION DIAGNOSTIC", "next_gate": "uncertainty propagation", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "root-augmented condition number", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q549", "symbol": "heldout rowspace theorem", "exact_form": "every heldout row e_i+e_j lies in row(S) with exact integer alternating-path identity", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / TARGET-BLIND MAGNITUDE RIGIDITY", "next_gate": "physical heldout test", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "heldout rowspace theorem", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q550", "symbol": "heldout log-row rank", "exact_form": "14 heldout physical channels have signless row rank10", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / 4 ALGEBRAIC REDUNDANCIES", "next_gate": "retain all physical channels", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "heldout log-row rank", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q551", "symbol": "total support parity-gauge fix", "exact_form": "total support alone not generically a unique parity-gauge fix", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_FREEZE / Ae^c+Be^-c ambiguity", "next_gate": "root probe or branch condition", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "total support parity-gauge fix", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q552", "symbol": "heldout path lengths", "exact_form": "8 length3,5 length5,1 length7 exact tree identities", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ERROR-PROPAGATION STRUCTURE", "next_gate": "lab uncertainty", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "heldout path lengths", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "O108", "symbol": "optical Hasse verification status", "exact_form": "PASS_SCOPED / TREE+RANK LOCKED / GAUGE NARRATIVE REPAIRED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "hardware execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "optical Hasse verification status", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "O109", "symbol": "frozen optical protocol disposition", "exact_form": "protocol remains viable because root probe and calibrated stocks already exist", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK / NO PROTOCOL FAILURE", "next_gate": "independent physical replay", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "frozen optical protocol disposition", "reconciliation_notes": "v0.84 optical Hasse-tree exact rank/condition/gauge verification; physical promotion 0" }, { "id": "Q553", "symbol": "C3-reference reduced condition number", "exact_form": "kappa2(S_without_C3)=13.870624202875...", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / GAUGE-SPECIFIC COORDINATE DIAGNOSTIC", "next_gate": "not heldout error bound", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "C3-reference reduced condition number", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q554", "symbol": "C0-reference reduced condition number", "exact_form": "kappa2(S_without_C0[0])=7.924344088320...", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / FROZEN ROOT COMPARISON", "next_gate": "none", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "C0-reference reduced condition number", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q555", "symbol": "heldout path finite-noise identity", "exact_form": "ln(Jpred_h/J_h)=sum_e C_he ln(1+delta_e)", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / MULTIPLICATIVE TRAINING-CURRENT NOISE", "next_gate": "source noise model", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated noise/covariance assumptions hold.", "display_symbol": "heldout path finite-noise identity", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q556", "symbol": "heldout first-order variance", "exact_form": "Var(DeltaJ_h/J_h)\u2248L_h eta^2 for iid noise", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / SMALL IID ZERO-MEAN NOISE", "next_gate": "physical covariance later", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated noise/covariance assumptions hold.", "display_symbol": "heldout first-order variance", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q557", "symbol": "aggregate first-order RMS factor", "exact_form": "mean L=4 => aggregate RMS\u22482 eta", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL", "next_gate": "uncertainty budget", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated noise/covariance assumptions hold.", "display_symbol": "aggregate first-order RMS factor", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q558", "symbol": "aggregate Gaussian mean-absolute factor", "exact_form": "sqrt(2/pi)*(1/14)sum sqrt(L_h)=1.57767410619064", "claim_bin": "EXACT_CONDITIONAL", "status": "AUTO_LOCK CONDITIONAL / GAUSSIAN SMALL-NOISE", "next_gate": "Monte Carlo comparison", "use_class": "CURRENT_CONDITIONAL", "claim_bin_meaning": "Exact if stated noise/covariance assumptions hold.", "display_symbol": "aggregate Gaussian mean-absolute factor", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q559", "symbol": "reference-root noise heldout cancellation", "exact_form": "root gauge perturbation does not alter heldout Hx magnitudes", "claim_bin": "LOCKED_INTERNAL_MATHEMATICS", "status": "AUTO_LOCK / ROWSPACE+PARITY GAUGE", "next_gate": "node reconstruction separate", "use_class": "CURRENT_LOCKED_MATH", "claim_bin_meaning": "Locked internal relation; physical mapping remains separate.", "display_symbol": "reference-root noise heldout cancellation", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q560", "symbol": "10pct Monte Carlo mean error", "exact_form": "approximately16% under frozen 1500-trial iid Gaussian multiplicative model", "claim_bin": "PROTOCOL_CONTROL", "status": "EMPIRICAL SYNTHETIC REPLAY / NOT STRICT BOUND", "next_gate": "physical data later", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "10pct Monte Carlo mean error", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q561", "symbol": "condition number to 16pct strict bound", "exact_form": "kappa=13.87 not=> mean heldout error<=16.1% at eta=10%", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_FREEZE / CONDITION-NUMBER CAUSALITY", "next_gate": "use path covariance", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "condition number to 16pct strict bound", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q562", "symbol": "sub-linear propagation claim", "exact_form": "reported mean-error profile not sub-linear; approximately linear small-noise", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_FREEZE / SCALING LANGUAGE REPAIR", "next_gate": "use analytic slope", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "sub-linear propagation claim", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q563", "symbol": "exact exponential cancellation claim", "exact_form": "finite-noise log/exponential corrections remain", "claim_bin": "LOCKED_NO_GO", "status": "AUTO_FREEZE / LANGUAGE REPAIR", "next_gate": "first-order statement only", "use_class": "LOCKED_NO_GO", "claim_bin_meaning": "Specific inference ruled out.", "display_symbol": "exact exponential cancellation claim", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q564", "symbol": "95th percentile semantic", "exact_form": "reported ~25.7% at10% is p95 of per-trial mean heldout error", "claim_bin": "PROTOCOL_CONTROL", "status": "AUTO_LOCK / STATISTIC LABEL", "next_gate": "label explicitly", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "95th percentile semantic", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "Q565", "symbol": "individual-current p95 distinction", "exact_form": "pooled individual heldout-current p95 ~40% at10% in replay", "claim_bin": "PROTOCOL_CONTROL", "status": "SYNTHETIC REPLAY / DIFFERENT STATISTIC", "next_gate": "do not conflate", "use_class": "PROTOCOL_CONTROL", "claim_bin_meaning": "Method/control only.", "display_symbol": "individual-current p95 distinction", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "O110", "symbol": "optical noise reconciliation status", "exact_form": "MONTE CARLO REPRODUCED / CAUSAL NARRATIVE REPAIRED", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "physical uncertainty propagation", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "optical noise reconciliation status", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" }, { "id": "O111", "symbol": "optical physical promotion", "exact_form": "PHYSICAL PROMOTION=0", "claim_bin": "LOCKED_STATUS", "status": "AUTO_LOCK", "next_gate": "QuiX physical execution", "use_class": "LOCKED_STATUS", "claim_bin_meaning": "Locked status statement.", "display_symbol": "optical physical promotion", "reconciliation_notes": "v0.85 optical PSR noise-propagation reconciliation; physical promotion 0" } ], "source_date": "2026-09-06", "reconciliation_date": "2026-09-06", "patch_type": "SCIENTIFIC_APPEND_ONLY_OPTICAL_NOISE_PROPAGATION_RECONCILIATION" }