Recent editorial and research notes. Current explanations live under Foundations and Research; original returns and older planning notes stay in the archive.
Full-input image and nonlinear terms enter an exact budget.16 constructor controls pass; twelve physical witness categories remain missing. Physical Promotion0.
Read theorem and proposed calibration specification →57 constructor software controls verify bindings, exact arithmetic and rejection gates. The unsigned tail proposal requires independent review; the historical candidate remains HOLD. Physical Promotion 0.
Read receipt contract and limits →Timing and quadrature/error requirements connect digital complex samples to a conditional leakage bound. Exact synthetic RMS checks pass; outside-model evidence remains open. Physical promotion0.
Read theorem, certificate and synthetic fixture →An exact Gram bound covers the declared ±5 mHz/10 ppb uncertainty family. A near-collision counterexample exposes RMS-only limits. Physical source and monitor evidence remain open; promotion0.
Read robust theorem and exact certificate →An unexecuted reference-chain protocol, twelve blank receipts and a conditional finite-mode theorem expose the remaining measurement requirements. All physical evidence stays open; physical promotion0.
Read protocol, theorem and blank receipts →A fail-closed packet checker passes 27 software controls. The circuit candidate remains on HOLD with unresolved apparatus binding and missing source/calibration records. Physical promotion0.
Read schema, controls and circuit disposition →A full-state theorem couples spectral leakage and input uncertainty. The declared requirements pass conditionally; noise, gain, timing and baseline evidence remain open. Physical promotion0.
Read theorem, frontier and requirements →The unchanged kernel has exact-rational continuous-band bounds under explicit source and input-error premises. A 600 Hz unit tone is a certified failure. No empirical calibration or physical promotion.
Read theorem, requirements and exact certificate →A conditional theorem bounds quadrature error using source variation and input uncertainty. The fixed window uses measured samples only, passes2/6 synthetic cases and leaves the empirical0/891 result intact. Physical promotion0.
Read theorem, transfer response and limits →Four methods and six known signals expose boundary and omitted-band limits. No method passes every case; the empirical 0/891 gate remains unchanged. Physical promotion 0.
Read benchmark and conditional error bounds →891 circuit channel-records round-trip numerically, but none passes the frozen narrow-band phase gate. The failed threshold is preserved. Physical promotion 0.
Read contract and all record diagnostics →Four experimental releases are scoped against the support/phase/energy contract. The circuit diagnostic illustrates V² frequency doubling; all 27 newer Rydberg CSV members are inventoried. No action anchor or QPB1 score is admitted. Physical promotion 0.
Read dataset gates and provenance →An explicit rescaling leaves apparatus data unchanged while changing native action. Independent support calibration and the readout’s primitive-period ratio are required. Exact conditional theorem and finite error interval; physical promotion 0.
Read theorem and same-carrier measurement requirements →Within a specified monomial same-carrier map, independent native energy and time anchors determine action; length and time alone do not. Eighteen typed equations and 2,952 anchor configurations pass scoped checks. QPB1 stays quarantined; EXIT-03 HOLD; physical promotion 0.
Read theorem and measurement entry requirements →Byte-identical archived copies establish custody and the full row count. An O13 dimensional equality defect is flagged. QPB1’s ηA=2/1 remains a quarantined conditional prediction. EXIT-03 and physical identification stay open.
Read recovery, correction and remaining gates →Preparation-specific bounds reduce target sensitivity to 4 and speed to 8/5. The proposed controller admits 8/575<t₀≤1/48 seconds; the example t₀=1/60 gives residual 0.00962. A named component route is screened with explicit leakage, noise, timing and actuator gates.
Five-page theorem; exact symbolic checks and twelve arithmetic controls pass. Hardware HOLD; independent review pending; physical promotion 0.
Read the proof and component-return requirements →The exact LC identity and a filtered-readout theorem prevent treating slower acquisition as a free remedy. A revised input/command allocation passes the prior Gauss budget, while hardware admission remains HOLD. Ten exact controls and inherited-budget replays pass.
Four-page theorem and preliminary supplier audit; identification plan OPEN; independent review pending; physical promotion 0.
Read theorem, audit and identification requirements →The theorem budgets sample age, input and command error, actuator lag, preload and range. The illustrative total residual is exactly 145267/16000000, below 1/100, preserving the prior short-window fault gaps. Nine exact controls and an inherited-budget replay pass.
Actual components, identification and calibration remain OPEN; independent review pending; physical promotion 0.
Read the theorem and instrument requirements →Explicit physical port commands, a finite-cover theorem and an exact short-window uncertainty allocation separate the nominal law from two specified faults near model time 1/100. Controller input age has its own bound, separate from readout spacing.
Six-page theorem manuscript; exact constructor checks. Apparatus bounds OPEN, independent review pending, physical promotion 0.
Read the certificate and apparatus-return requirements →The scaled canonical theorem gives ordinary flux–charge pairs the required opposite matter brackets and reciprocal gauge dynamics. Sixty-four exact checks pass. CD-1 specifies one instrumented four-link diamond, independent coupling witnesses, known-source injection and two analytically discriminating fault controls.
Engineering gates are proposed and require actual calibration and non-constructor review. Physical promotion 0.
Read theorem and closed-diamond test →The unchanged prospective contract has an offline review packet,20-item brief and blank return form. Constructor replay and12 disclosed probes pass; they do not supply independent review or a new blind campaign.
Open the review handoff →Six main destinations now separate foundations, research programmes, evidence, papers and the archive. Specialist pages keep their URLs; paper collections follow the argument, and capture logs are secondary to the programme summaries.
This changes presentation and navigation. Source statuses, scientific claim data and historical evidence remain preserved.
Editorial change record ↓The public record now indexes all 118 manifest-bearing captures and 122 events through repository snapshot 3064f129f7d5. Source-selected finite W, the typed parity repair and prospective contract join the source/receipt recovery and later preparation, timing, two-step noise and encoded projection/SVD records.
Historical protocols and source statuses stay preserved. Review remains scope-specific and pending/HOLD; physical promotion 0.
Read the session and inspect all captures →Selected a rank-one rotor–matter circuit emulator for development. Audited a complete published ten-channel waveform against its deposit checksum and inspected two cold-atom data sources. The published LC device is not the full UD Hamiltonian: its oscillator links differ from unitary rotor links, and its chain lacks the required diamonds.
No audited record supplies all preparation, energy and source-work gates. A closed-diamond component test and a calibrated measurement contract are the next experimental requirements. Constructor audit; independent review pending; physical promotion 0.
Read selection, dataset audit and experiment requirements →A shared cumulative budget admits varying positive norms, other parameter drift and continuous tangent implementation errors. A graph ground-energy bound shows that pure base norm loss adds no positive reference-energy work, although it can still generate Gauss charge.
The seven-page theorem derives the covariant Gauss-source law, a drift envelope, raw matter-force allocation and a sufficient constant-rate duration inequality. An exact control shows why zero terminal net work cannot replace an every-prefix bound. Forty-three exact checks and twelve matrix diagnostics pass. Independent review pending; physical promotion 0. No actual numerical trajectory, physical source sector or experimental dataset is certified by this milestone.
Read the source and defect-work theorem →The new test combines the invariant geometry score with total actual orbit-relative energy. Conserved norm errors enter a shared centered-curvature allowance. An exact neutral electric circulation passes at 2.5 times the old sufficient initial radius.
The proof confines ambient Hamiltonian trajectories at nonzero Gauss levels without projecting them to zero. That does not make them solutions of the zero-source constrained action: unequal norms fail a strict trace condition. A square-root correction-distance example in the frozen cone prevents a linear residual correction claim there. The seven-page manuscript, exact calculator, 49 exact checks and matrix diagnostics are available. Independent review pending; physical promotion 0. The larger geometric ceiling requires the added energy test and is not an overall precision or basin-volume improvement.
Read the energy and residual theorem →A global orbit-distance upper score combines 27 real invariant inputs. Exact rational enclosures can establish entry into the previous endpoint trapping ball, with no prior local-chart assumption. Norm/Gauss validity, measurement coverage and model-error bounds remain separate inputs.
The eight-page theorem also proves an obstruction: configuration-only observations miss arbitrary admissible electric circulation, and active loop histories miss independent unused-color dynamics at rank ≥2. The exact calculator, 46 finite-topology/rational checks and numerical matrix controls are available. The conservative unit raw-interval allocation is about 2.93×10⁻⁴³ in model units, a sufficient bound rather than a physical precision requirement. Independent review pending; physical promotion 0.
Read the preparation theorem →One 62-channel vertex link has ideal history rank 1893 and 747 hidden dimensions. A second link plus a tetrahedral port leaves 142; a separate 189-channel observer is complete for the declared nominal model. Finite conditioning and calibration certificates specify their own error assumptions.
The frozen 37-preparation record has 18,790,154 scalar readings. Verified Hankel actions, factor Grams and residual bounds avoid a 286.75-GiB dense allocation. Record-only and bounded-noise certificates preserve the distinction between retained threshold count and exact rank. All 26 accessible research packages/captures are now indexed in merged PR #179.
Independent review remains HOLD pending attributable, hash-bound corrected returns. Constructor verification is not experimental validation; physical promotion 0.
A cubic gradient budget covers generic Hamiltonian forces; centered errors with zero derivative on the nominal orbit use a quadratic curvature budget. Their shared inequality gives all-time static trapping and a compact minimizing invariant set with cube-root/square-root displacement bounds. A separate cumulative gradient-variation requirement handles time-dependent drift.
The eight-page theorem, exact calculator and mathematical requirements contract translate kinetic, magnetic, common/residual hopping and detuning errors into one budget. Loop readout limits include an instrument reserve and explicitly do not certify full preparation distance. An admitted stiffness increase shows why finite-radius trapping does not imply retained stability of the exact critical orbit. Twenty-four exact algebraic checks, five rational budget examples and four floating matrix diagnostics pass; frozen PET support remains conditional. Development, no registry entry; independent review pending; physical promotion 0.
Read the endpoint robustness theorem →The critical background has an isometric energy reflection that reverses the three soft directions and fixes their leading fast-relaxation correction. Three intrinsic tensor cancellations replace the earlier fifth-order loss by an explicit sixth-order bound. An exact polynomial comparison proves the radius improvement for every positive kinetic coefficient and matter norm at each finite rank.
The quartic energy coercivity and all-time trapping theorem remain valid on the larger tube. The seven-page proof, exact calculator and replay package include 22 exact conditions, four rational budget examples and four floating matrix diagnostics. The earlier EQT certificate is retained as conditional support, not counted as new interval evidence. This is a larger sufficient mathematical guarantee; actual basins, endpoint forcing/model errors and laboratory tolerances remain open. Development, no registry entry; independent review pending; physical promotion 0.
Read the parity-sharpened theorem →The original critical orbit at ε=0 satisfies H−H*≥(N/1600)d⁴ in a specified tube. A boundary energy barrier Bη=Nη⁴/1600 and a smaller initial ball give all-time trapping, including the invariant zero-Gauss subset, at every finite rank. The proof converts the frozen relaxed quartic into the product metric and absorbs an explicit fifth-order remainder.
Two new 192-bit Arb positive congruences, the frozen exact integer quartic replay and four exact budget examples passed. The eight-page manuscript and calculator are available. At a=N=1, R*≈2.36008×10⁻¹⁴, B≈1.93905×10⁻⁵⁸ and δ≈2.78500×10⁻³⁰. These conservative mathematical bounds close the quantitative endpoint slot left open in G14/G15; no sharp basin, endpoint model-error budget or physical calibration is established. Development, no registry entry; independent review pending; physical promotion 0.
Read the quartic-endpoint theorem →A sufficient static Hamiltonian-gradient budget gives all-time trapping around a selected nominal balanced orbit and a nearby compact minimizing invariant set. Time-dependent errors receive a cumulative variation condition, and a separate external-forcing contract limits injected work. An exact resonant oscillator shows why instantaneous smallness alone cannot support a general all-time guarantee.
The theorem translates kinetic, diamond, hopping and site-detuning errors into one gradient cap. It also bounds each complex loop readout error by 21η and supplies a split state/instrument noise reserve for real and oriented classifiers. All 30 new exact/symbolic checks and six synthetic matrix-gradient/readout fixtures passed; the prior interval certificate remains a dependency, not a new count. No experimental data or physical detector map is supplied. The nominal orbit need not remain invariant, and no unique displaced branch is proved. Development, no registry entry; independent review pending; physical promotion 0.
Read the model-robustness theorem →The six balanced finite-offset phase branches now have an explicit outer trapping radius, boundary energy barrier and smaller sufficient initial ball at every finite rank. The proof certifies the slow scalar Hessian floor and bounds global second and third geodesic energy derivatives. It uses distance to the compact gauge/species-phase orbit and preserves the residual stabilizer constraint.
All 211 exact/rigorous interval checks passed across 64 new parameter cells. Six synthetic jet diagnostics passed; no experimental data are used. In a=N=1 at ε=10⁻⁵ the conservative bounds are R≈2.41935×10⁻⁷, B≈1.46332×10⁻¹⁹ and δ≈7.65067×10⁻¹¹ in the declared mathematical normalization. This closes G13’s explicit nonlinear-radius slot for positive offsets. The quartic endpoint needs a separate quantitative modulus; the bounds are not maximal basins or laboratory tolerances. Development, no registry entry; independent review pending; physical promotion 0.
Read the nonlinear energy-barrier theorem →All six balanced phase-branch embeddings retain nonlinear orbital stability at every fixed finite rank across the certified interval 0<ε≤10⁻⁵. A matter-aligned normal gauge cancels the mixed matter–color Hessian term exactly. A two-color determinant identity bounds the magnetic correction and leaves explicit positive color and vacuum frequency gaps. The twelve and eight scalar saddle embeddings remain unstable.
The constructor replay passed 28 exact/rigorous interval checks. Four floating full-matrix synthetic fixtures agree with the quadratic formula to within 8×10⁻⁸; these are numerical diagnostics, with no experimental samples. The stability neighborhood is local and is not given an explicit displacement radius. The coefficient interval is sufficient, not maximal; the residual global stabilizer moment-map condition is retained. This milestone supersedes the open full-rank finite-offset stability slot in G12. Development, no registry entry; independent review pending; physical promotion 0.
Read the full-rank finite-offset theorem →A regularized full stationary system certifies the 26 phase branches on 0<ε≤10⁻⁵. The certificate covers the rescaled zero endpoint, all scalar Morse indices and explicit amplitude and loop-readout errors. It also gives sufficient deterministic noise budgets for both oriented phases and six labeled real loop amplitudes.
Exact symmetry sectors and scaled Schur complements bound the stable soft-mode frequency ratio to within 0.005 of its limiting value when a=N=r=1. The proof replay passed 1,536 nested interval boxes and 2,048 spectral cut tests. The interval is sufficient, not maximal; uniqueness is within the certified tubes. Higher-rank stationary embeddings are covered, while their full normal stability radius remains open. No experimental data are analyzed. Development, no registry entry; independent review pending; physical promotion 0.
Read the finite-offset theorem →A matter-dressed Wilson observable is invariant under the full local U(r) gauge group. On the one-active-color branch embeddings its oriented phases recover the critical vector exactly, because the nonlinear fast correction cancels. Fourth-moment fingerprints distinguish the three families and a signed cubic separates the two body-diagonal permutation orbits.
The theorem proves a sufficient phase-noise margin and an exact information limit for real-only channels. A proposed measurement contract specifies phase, Gauss, calibration and small-response requirements. Two primary studies offer gauge or holonomy readout precedents; their different actions and geometries do not currently provide a direct UD branch test. This is a limited compatibility screen, with no empirical reanalysis. The frozen action and ledger are unchanged; independent review pending; physical promotion 0.
Read the branch-readout theorem →The exact stationary energy yields six balanced minima, twelve index-one saddles and eight index-two saddles for sufficiently small positive coefficient excess. These counts retain vertex labels and describe phase-amplitude patterns on the fixed carrier. The scalar local diagram is complete; the higher-rank theorem concerns embeddings of these branches.
A reversing symmetry supplies the exact scalar instability counts and leading soft frequencies, including Gauss backreaction. The balanced branches persist as full-rank stable orbits near threshold, while the original orbit remains unstable above its previous boundary. Energy conservation rules out attraction to the minima; a sourced preparation or selection law remains open. 66 exact constructor checks and twelve full stationary-energy solutions with 42-pair spectra passed. No numerical bound on the theorem's neighborhood radius or new dynamical trajectory is claimed. Independent review pending; physical promotion 0.
Read the bifurcation theorem →The extra-color oscillator list now has its admissibility rule: opposite oscillator orientations must balance in total amplitude, and the full matrix charge must cancel with the unused vacuum commutators. A weighted-shift construction completes every trace-balanced color state with one vacuum oscillator, with an energy bound that is exact at r=3.
At r=2 the color quotient is homeomorphic to the cone of complex rank-one 28×28 matrices; its inherited reduced Poisson structure is retained. The full open stratum has 222 real dimensions and the full stabilizer stratum 112. A free zero-moment witness gives principal dimension 26r²+60r-2 at every finite rank. The standard local symplectic reduction theorem supplies the exact constraint germ; displayed observable frequencies are quadratic dynamics only. 70 exact checks and a full matrix cubic-error diagnostic passed. The previous stability interval is unchanged. Independent review pending; physical promotion 0.
Read the residual Gauss theorem →The additional color slice has positive mass and matter stiffness. Its magnetic Hessian vanishes by an exact two-color determinant identity. Positive unused-block cycle stiffness then extends the scalar energy minimum, including its quartic endpoint, to all finite ranks.
For r≥2 the sharp interval is 0<κ≤rκ*(N). Zero stiffness is unstable by exact unused-color holonomy drift, whereas the scalar r=1 interval still includes zero. The proof covers the full fixed-norm surface without assuming a smooth residual gauge quotient. 57 exact constructor checks, rank-two/rank-three matrix fixtures and two full nonlinear rank-two campaigns passed. Unchanged candidate action; independent review pending; physical promotion 0.
Read the full-rank stability theorem →Gauss and phase reduction split the fixed-norm scalar dynamics into 14 neutral matter oscillator pairs and 28 coupled link–charge pairs. Exact symmetry sections specify every frequency and all five stiffness crossings. The first crossing gives κ*/N≈0.03760248457, about 29% above the earlier conservative bound.
The orbit remains nonlinearly stable at equality: a matter-relaxed quartic is positive, with its two symmetric coefficients rigorously enclosed by integer arithmetic. Above the boundary a real growing mode produces constrained nonlinear departure. The action is unchanged; additional color directions at higher rank remain open. 47 exact checks, four numerical linear benchmarks and three nonlinear campaigns; independent review pending; physical promotion 0.
Read the reduced modes and endpoint proof →The completed flat-family obstruction led to a different exact branch: U=-ib, E=0 and equal positive lowest-mode matter, with every diamond holonomy -1. The scalar orbit is nonlinearly stable for 0≤κ<Nρ(10-√10)/(120(6+√2)), where ρ=√(8+2√10) and each species norm is N. The bound is sufficient and conservative.
A separate compactness argument establishes a stable global minimizing set at every finite rank. It proves neither individual-orbit stability at higher rank nor attraction. The old flat-family instability is preserved. 40 exact constructor checks and two finite nonlinear numerical campaigns passed; no experimental data. Independent review pending, physical promotion 0.
Read the curved-orbit stability theorem →Exact fixed-point sectors of the full nonlinear flow exclude the resonant modes while retaining a nonzero averaged matter drift. S3 closes t=2/3, 8/3 and 16/(4±√2); C4 closes 16/(6±√2). No detuning or action change is used.
The nonzero neutral flat family is therefore nonlinearly orbitally unstable across a>0, κ≥0 at finite rank, conditional on the declared action and the preceding theorem. Positive-stiffness empty vacuum stability is preserved; other backgrounds remain unclassified. 104 exact checks and six numerical campaigns; independent review pending; physical promotion 0. Earlier dated entries below preserve their historical boundaries.
Read the six-case closure theorem →Within the unchanged candidate action, fixed-norm Gauss-admissible perturbations can approach the nonzero flat stationary orbit while exact trajectories reach fixed higher-simplex matter stock on O(1/ε) time. The proof uses conserved co-moving matter coherence, exact Coulomb dynamics and a finite-Fourier averaging estimate; four field resonances have separate force-canceling constructions.
Six positive values of t=aκ/r remain open: 2/3, 8/3, 16/(6±√2), and 16/(4±√2). Zero stiffness instead has an exact holonomy drift counterexample. The positive-stiffness empty vacuum remains stable. 42 exact constructor checks and three numerical campaigns passed; no experimental data or physical promotion.
Read the theorem and its parameter boundary →The exact Gauss reduction leaves 14 link oscillator pairs, 28 algebraic matter pairs and one neutral zero pair. Five positive link stiffnesses are 6, 6±√2 and 4±√2. The nonzero neutral flat family has persistent nongauge Jordan chains, including at isolated forcing cancellations and field resonances. Positive magnetic stiffness alone does not make that family linearly bounded.
The empty vacuum gauge orbit is separately proved nonlinearly Lyapunov stable for positive stiffness; zero stiffness admits exact drift instability. Nonlinear stability of the nonzero family remains open. 50 exact constructor checks passed; no experimental data were used. Physical promotion 0.
Read the reduction and stability theorem →The declared joint Hamiltonian has first-class Gauss constraints, conserved energy and matter norms, reciprocal backreaction and global temporal-gauge solutions. A single canonical fundamental species fails closed full-U(r) neutrality; an explicit opposite-charge dynamical partner repairs that branch. A neutral two-node scalar preparation gives diamond phase 2as² + O(s³) and curvature defect 2a²s⁴ + O(s⁵).
28 exact constructor checks and a separately typed numerical replay passed. This is conditional dynamics under an added action and species, with independent review pending and physical promotion 0. Next gate: admissible neutral stationary backgrounds and gauge-reduced modes.
Read the theorem and replay →The star29 and barycentric149 carriers agree on the old code. An unrestricted full-generator star embedding exists, but S4-equivariance fails because its invariant √5 pair is absent from the target. A163-direction retained-record completion avoids losing old detail. Exact inherited skew dynamics cannot populate initially blank details; native excitation remains OPEN.
Inspect history and source gates →The two-level15→149→2745 tower has an exact edge-detail mismatch2 versus4 under sequential versus fresh final calibration. Transporting each level detail pairing restores consistency for regrouping the same sequence. Coarse observations compose,17 complete effects retain both detail outcomes, and full carrier growth is explicit. Native history and physical adoption remain open.
Inspect refinement coherence →Native fixed-carrier fidelity selectsI and coordinate stocks. Across ordinary subdivision, exact metric and observer witnesses prove remaining freedom, and arbitrary diagonal fine metrics fail full generator inheritance. Affine readout, calibrated orthogonal residual and blind observation uniquely select a conditional extension; adoption remains open.
Inspect metric and observer selection →The actual source map has factorial norm factors1,2,6,24. Scalar and naive metric normalization fail the generator gate. A conditional retraction/complement metric satisfies norm, boundary and generator equations, while retaining134 fine directions and leaving native metric/local readout selection open. The original Euclidean no-go remains intact.
Inspect subdivision compatibility →The invariant metric family keeps three positive bands. The geometric Gram family can have five but fails the default clock through an exact ratio identity. Degree-weighted glued carriers fail a separate commensurability test. The adjoint/mass metric conventions and all exclusions remain explicit; native selection is open.
Inspect source metric admission →The default clock has exact common-rate residual minima3,7√15−25 and2 across the three declared unit-metric classes. Arbitrary identical copies cannot create exact full-generator agreement. A retained endpoint-alias witness has zero endpoint error despite a nonzero generator residual, keeping the error-budget inference scoped.
Inspect native residuals and aliases →The finite carrier has a constant history Hamiltonian. Rational path metrics and identity padding give an ordinary graph-Hodge representation, with clock and complete return accounted. Odd full-carrier equivalence and unit-metric single-tetrahedron full embedding have explicit obstructions. Native operator/source admission and protected export remain open.
Inspect the coherent clock and admission gate →A supplied reversible gate retains each old state and receipt. A finite master clock schedules B payload resets using B prepared donors; all consumed blocks become outgoing records. The construction proves a declared window, shows dirty-reuse failure after wrap, and keeps native coupling, physical resources and complete restart open.
Inspect clock, memory and reset supply →An exact total finite-image factor of reversible Hodge evolution can decode only RSP fixed states. Prepared trace encoding remains possible before wrap. The audit separates finite-image, finite-order, stable-recurrence and conserved-stock assumptions; broader native realization and human review remain open.
Inspect the realization contracts →RSP-1 drives two source-bound close/hold response choices from prepared stock and finite bank registers. Exact conditional termination, close pulse balance and hold latching are recorded. Parallel constructor checks and a separate AI scope audit passed; native realization and independent human review remain open.
Compare the paired programmes →The finite response fiber has 2^i masks on i intact-null addresses. Count receipts and address receipts have different information requirements. A structural validator and synthetic specimen make the source gate reviewable. The prior presentation review is acknowledged; this new development result awaits independent adversarial review.
Explore the contract →Source-bound premises, constitutive choices and evaluation gates now have an explicit scoped graph. Eight change scenarios identify affected uses while retaining conditional mathematics. Absolute clock and native event-source gates remain open.
Explore the dependencies →The dedicated theorem manuscript proves local frame covariance, signed tetrahedral relabeling covariance and conserved support for unitary Hasse-link transport. On the filled tetrahedron, a nilpotent transport boundary is pure gauge. Curved transport remains admissible with an explicit correction to the Hodge-square identity.
A single incidence phase of π/2 gives the exact positive frequency set √2, 2, √6 with multiplicities 1, 5, 1. The result supplies a candidate finite analogue test; it does not derive Standard Model couplings. Independent review and physical correspondence remain pending; physical promotion 0.
Review candidate 0.15 is preserved as a separate synthesis with its original PDF hash, complete text extract and page index. Intake preserves source status and leaves scientific replay, independent review and physical correspondence gates unchanged.
34 write slots; 44 versus 66 total-slot comparisons. Dimensionless probability does not select physical energy or area.
R40 ↗Fixed-carrier skew flow does not choose a spatial refinement. Strict unit-readout/intertwining interface fails.
R29 ↗ R30 ↗ R34 ↗Original sidecar bytes and eligible target-hidden native episode remain required before a score.
R35 ↗Structural predicates, current observations and event source laws retain separate roles.
R09 ↗ R28 ↗Source the native event-response law and independently review the corrected conditional domain. The presentation now exposes every ledger row and its reuse limits. The remaining hinge is scientific: an independently sourced constitutive response, complete proof dependencies and an eligible test. A better reading surface does not supply that law.
Priority judgment: 96/100. This score ranks expected progress and information value; it is not a measured closure percentage.
Core mathematical checks are exact constructor verification. Human review and physical evaluation remain separate gates. No numerical closure meter is invented.