Evidence & open questions
What is established?
What still needs a test?
Finite mathematical checks, constructor executions and physical measurements answer different questions. The programme has no promoted physical identification.
Physical promotion 0
Independent review Scope-specific / pending or HOLD
24 October 2026 Chicago · Source-to-path theorem 0.1
From source restrictions to a conditional leakage bound
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 →23 October 2026 Chicago · Monitor receipt graph 0.1
Nine roles bind the sampled-monitor evidence
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 →22 October 2026 Chicago · Sampled witness 0.1
A sampled-Gram certificate with explicit alias 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 →21 October 2026 Chicago · Robust leakage witness 0.1
Frequency errors enter the leakage certificate
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 →21 October 2026 Chicago · Calibration protocol 0.1
Timing and spectral-tail prerequisites become concrete
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 →21 October 2026 Chicago · Evidence admission 0.1
Twelve reviewed bounds are still needed
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 →21 October 2026 · Leakage budget 0.1
Bounded tails and an explicit instrument allocation
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 →21 October 2026 · Continuous-band certificate 0.1
A conditional ±50 Hz measurement budget passes
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 →21 October 2026 · Measured-window quadrature 0.1
A local estimator exposes its bandwidth cost
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 →21 October 2026 · Synthetic boundary benchmark 0.1
Padding helps smooth signals; excluded bands stay excluded
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 →21 October 2026 · Reconstruction contract 0.1
Signed reconstruction works; the phase gate fails
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 →21 October 2026 Chicago · Published-data audit 0.1
Signed circuit traces help; action calibration remains open
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 →21 October 2026 Chicago · Energy-clock-support theorem 0.1
A measured energy and period identify action times support
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 →21 October 2026 Chicago · Action-anchor theorem 0.1
An exact criterion identifies sufficient action measurements
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 →21 October 2026 UTC · Ledger recovery 0.1
Ledger v0.85 recovered; 723-object inventory passes
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 →20 October 2026 UTC · Canonical map and component test 0.1
The apparatus map now fixes action, energy and time
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 →20 October 2026 UTC · Finite calibration certificate 0.1
CD-1 now has a conditional finite-calibration and fault budget
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 →20 October 2026 UTC · Sampled actuator certificate 0.1
A controller and finite-bandwidth actuator fit the CD-1 prefix budget conditionally
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 →20 October 2026 UTC · Clock–plant compatibility 0.1
Converter selection now has a clock–plant compatibility gate
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 →20 October 2026 Chicago · Local prefix feasibility 0.1
A proved local box admits a conditional plant/converter clock overlap
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 →01
Assess each result at its own level.
01 / MathematicsA declared finite object
Exact algebra or a scoped proof on a specified carrier, metric and source convention.
02 / ComputationA reproducible execution
A frozen numerical or exact record with input hashes, tolerances and failure controls.
03 / ReviewAn attributable challenge
A non-constructor return bound to the exact claim or package, with its independence and scope.
04 / CorrespondenceAn eligible physical test
A calibrated map, units, uncertainty, baseline and a frozen independent acceptance rule.
The CRL-2 source proposal is preserved as a proposal. Publishing this hierarchy does not enact it or promote a scientific status.
02
Current programme boundaries.
| Programme | What the current record supports | What remains open |
|---|
| Source, events and refinement | Conditional finite mechanisms, exact compatibility and nonselection results | Native source selection, preparation and a physical time/observable map |
| Observation and estimation | Finite observability results and constructor certificates on declared records | Attributable external replay, uniform guarantees where claimed and physical metrology; review HOLD preserved |
| Action and stability | Declared action, scoped stability results and conditional preparation/error budgets | Realization and records meeting the complete experiment contract |
| Parity transport | Finite selected sector, typed transport identities and prospective numeric admission | Non-constructor review of the new contract, original attributable approval/raw output gaps and physical parity |
03
A concrete bridge candidate, with a data boundary.
A rank-one rotor–matter circuit emulator was selected for development. The published LC device is a partial benchmark: its oscillator links and chain do not implement the full UD Hamiltonian and required diamonds.
No audited dataset supplies every preparation, energy and source-work gate. The next proposed component experiment is a closed-diamond test with a calibrated measurement contract.
04
Read historical replication claims with their receipts.
The historical parity record reports 12 in-scope passes and six failing controls from external-AI replication, with the permanent rider transport consistency, not dynamical discovery. Receipt linkage and the full ruling document are recovered; named or signed original approval and the raw-output commitment remain unresolved.
This is a source-recorded internal transport result. It is not independent-human review or a laboratory measurement, and the new prospective contract does not retroactively revise the old scores.
05
What a physical return must contain.
- State the correspondence.Define the mathematical object, measured observable, units and calibration.
- Freeze the test.Specify baseline, exclusions, uncertainty budget, acceptance and failure rules before target exposure.
- Separate the evaluation.Record target custody, reviewer independence, negative results and the exact supported scope.
06
Applied programmes have separate evidence ledgers.