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Executable OPH completion program

Generated by tools/build_completion_program.py from claims/completion_program.json.

Coordination: #1134. Physical target: the executable hypothesis.

One native repair/memory process must supply the observer clocks, defect/maintenance-energy mechanism, interacting field/particle description and realized Einstein premises together. Component benchmarks retain their own contracts; they cannot be pooled into that realization.

Program: OPH-EXECUTABLE-COMPLETION-2026-10-29-v2. Boundary: FROZEN. Decision: NOT_DECIDED. No integrated gate is accepted by opening an issue.

Existing foundations to extend

Physical construction gates remain open, but the program starts from retained positive constructions. The rows below link to existing canonical claims; they are reuse/navigation bindings, not new proof-discharge assertions. Preserve these capabilities while constructing the missing joins.

Foundation Achieved component Remaining join Builds into
Native rank-three slow response and intrinsic carrier geometry The uniform native repair mean selects a normalized rank-three Gram band; exact quotient, proper-action and completion results connect it to the carrier response and signed records. This is a response/metric result, not a physical position or a complete 3+1 field theory. Finite nonconstant modes remain; the limiting normalization and calibration schedule matter. CP-03, CP-08, CP-13
Candidate observer clocks with an implemented modular-flow relation Finite faithful-reference preparation and active modular histories provide continuing clock/readout constructions. Native-return histories reconstruct a reference proportional to exp(-arccos K), with finite-cap errors; complete native quadrature records support operational parameter inference. On the declared Gibbs product branch, modular flow equals the rescaled Hamiltonian flow and clocked field measurements share that reference. Reference/access choice, compiled controls and branch-specific clock conversion remain explicit. The native-return reconstructed reference is not its coherent preparation, and matching phase magnitudes does not execute every modular intervention. Passive repair, every regional modular flow and physical laboratory duration are not thereby identified. CP-02, CP-04, CP-09
Common native field generator and conditional 3+1 Lorentzian field readout The refining native screen has a common positive continuum operator. A declared radial product builds on that response structure and supports one smooth static 1+3 scalar description of finite admissible joint clock, field and response menus at any positive tolerance. The native screen has spectral dimension two. Rank three of the local slow band alone does not derive three spatial field dimensions; radial interval/filter, encoded fields, action, active controls and units retain their stated inputs. The claim is conditional and does not supply the Standard Model continuum. CP-06, CP-08, CP-13
Interacting field projections and same-reference modular measurement histories A finite coupled matter/link/scalar source and a separate same-product quartic projection execute complete quantum records and feedback, with occupation bounds and declared Gibbs/modular readout histories. The supplied actions, projected spatial modes, coupling, temperature and access services keep their own contracts. These constructions are reusable interaction and observation machinery, not a single source-derived chiral Standard Model. CP-01, CP-04, CP-06
Finite conditional Einstein tensor-completion kernel The finite theorem chain composes the stated null-balance and conservation premises into the Einstein tensor relation up to the metric term; source-direction tomography supplies a finite completeness witness on its stated carrier. One source tower realizing the geometric modular/stress/entropy and scale hypotheses remains required. Proving this implication does not establish physical gravity or a quantum graviton. CP-09, CP-10, CP-13

In particular, retain the modular-clock candidate and the conditional 3+1 field construction based on the native response structure. The slow band's rank three and the native screen's spectral dimension two are distinct facts; the supplied radial extension remains part of that field construction's contract.

Current bounded investigations

These source-bound component campaigns record actual progress without accepting dependent gates or freezing the larger program. Their exact exclusions do not cover untested histories or refinements.

  • OPH-CE-FINITE-MEMORY-2026-10-28-v1: Frozen finite C/E mixture, positive repair/selection and bounded classical-memory family. The parent refinement and physical-interpretation boundary is not established. Owning gates: CP-00, CP-01, CP-13, CP-02, CP-03.
  • OPH-CLOCK-DEFECT-ENERGY-2026-10-28-v1: Frozen finite component diagnostics on the unchanged C/E family and the pinned pending PR1149 input. Reference transport, clock/wave comparison, adjacent-pair localization and maintenance-energy tests retain separate premises; no integrated gate or physical comparison is accepted. Owning gates: CP-00, CP-01, CP-02, CP-03, CP-04.
  • OPH-FINITE-THEOREM-JOINS-2026-10-28-v1: Frozen finite theorem applications and explicit service extension on the unchanged native C/E law: all-core compiled clock coverage, joint event-clock/field records, native history exchange topology and current/action-mode comparisons. Prior diagnostics and their limited service menu remain retained. Owning gates: CP-00, CP-01, CP-02, CP-03, CP-04, CP-13.
  • OPH-LOCAL-PLACEMENT-FAMILY-2026-10-28-v1: Bounded endpoint-biased C/E family and conditional product-pair reference. The carrier, physical target and program-wide decision contract are not established. Owning gates: CP-00, CP-02, CP-13.
  • OPH-SOURCE-RAMSEY-JOIN-2026-10-28-v1: Source-pulse controlled Ramsey service on the finite density sector, complete C/E joint outputs and counted continuation. Physical duration and full-wave realization are not established. Owning gates: CP-01, CP-02, CP-13.
  • exchange-sector-20261028-v1: Sharp relational-sector boundaries, odd closed-history rank-one limit and source-executed active code with counted recovery. No localized physical particle or mass is accepted. Owning gates: CP-03, CP-04, CP-13.
  • particle-screening-20261028-v1: Exact sharp-sector cap minimax, optimal one-port screening for an all-seam corrected q=1 qubit, and finite native-edge first exits. Source pulse recovery for the new code and physical particle identity are not established. Owning gates: CP-03, CP-04, CP-13.
  • active-code-energy-20261028-v1: The canonical screened code has native current rate 1/6 per uniform-seam attempt. Positive conserved-sector reweightings preserve stationary dynamics and leave formal Gibbs energy contrasts free. Prior-code fixed-seam recovery pulses retain their own protocol. Owning gates: CP-04, CP-13.
  • OPH-CLOCK-COUNT-INFERENCE-2026-10-28-v1: A complete source clock/field instrument strictly improves inference of its shared native incident count over the clock detector alone. Rational risk bounds, finite preparation and abort accounting retain the dimensionless event-count scope; physical calibration is not established. Owning gates: CP-01, CP-02, CP-13.
  • screened-recovery-20261028-v1: The canonical screened q=1 encoder and all 208 positive C/E recoveries are source-executed. Exact corrected composition preserves arbitrary logical/reference states with explicit core reset; pulse and archive costs are retained. Autonomous localized matter is not established. Owning gates: CP-01, CP-03, CP-04, CP-13.
  • OPH-SHARED-EVENT-CLOCK-2026-10-28-v1: Four source-executed shared checkpoints give strictly ordered conditional ensemble clock and field readouts through three FIFO exports. A raw two-anchor affine fit fails the reserved fourth event with a positive source-error margin; physical time calibration is not supplied. Owning gates: CP-01, CP-02, CP-13.
  • screened-transport-20261028-v1: The same screened code has a positive rank-eleven native current covariance, but complete corrected logical transfer is identity and the core resets each attempt. Logical-state-dependent current/variance ratios prevent transfer of the earlier uniform-source wave rate. No rest gap or particle mass is identified. Owning gates: CP-03, CP-04, CP-13.
  • conserved-sector-action-20261028-v1: A Lean theorem proves stationary reweighting, conditional cancellation and zero sector-potential gradient for every positive conserved-sector factor. Exact checks bind its premises to all 4356 native source/core states; the full native kernel is checked in Python rather than encoded as a Lean value. Owning gates: CP-04, CP-13.
  • OPH-LOCAL-REPAIR-CONTINUING-CLOCK-2026-10-28-v1: Versioned finite continuation and coherent-service composition on the bounded endpoint-biased family. Owning gates: CP-00, CP-01, CP-02, CP-13.
  • OPH-RECORD-DERIVED-CONTINUING-CLOCK-v1: Fixed finite native-record acquisition, record-only preparation admission and inferred common modular-clock protocol. No integrated gate or physical comparison is accepted. Owning gates: CP-01, CP-02, CP-13.
  • OPH-DEFECT-ACTION-PARTICLE-FIELD-2026-10-29-v1: Four bounded component advances on the pending record-clock baseline: active moving memory, record-inferred interacting kinetic parent, exact particle/family obstructions and a supplied interacting 3D lattice CAR field. Actual joins and scoped failures remain explicit; no integrated gate or physical comparison is accepted. Owning gates: CP-03, CP-04, CP-05, CP-06, CP-13, CP-12.
  • OPH-SAME-ACTION-PARTICLE-PREMISES-2026-10-29-v1: Four selected issues and the common local action, finite interfaces, pending-draft boundaries and complete-criteria closure policy. No integrated gate or physical comparison is accepted. Owning gates: CP-01, CP-02, CP-03, CP-04, CP-05, CP-06, CP-07, CP-08, CP-09, CP-12, CP-13.
  • mobile-screened-memory-20261029-v1: Complete uniform-seam C/E moving-memory operation and optimal core-reset objective, with exact-code domain and coherent services explicit. Owning gates: CP-01, CP-03, CP-05, CP-13.
  • OPH-INTEGRATION-PAIR-CYCLIC-CONTROL-2026-10-29-v1: Exact seven-state contact-domain reduction and rational pole enclosure; the separate spectral helper sharpens only the full-field rate-error term. Full spatial histories and physical field/reference premises remain. Owning gates: CP-04, CP-06, CP-13.
  • OPH-INTEGRATION-RECOVERY-ELISION-2026-10-29-v1: Separate exact identity-recovery variant removes3120 redundant words and saves48391.49 supplied pulses per stationary native attempt; original benchmark retained, no physical energy or new protection. Owning gates: CP-01, CP-03, CP-13.
  • OPH-INTEGRATION-BIASED-CODE-UNIVERSALITY-2026-10-29-v1: Positive-coin classification transfer proves the fixed biased optimal asymptotic reset rate across arbitrary adaptive exact all-seam sharp-q1 codes. Separate clock-factor composition is operational; finite-horizon biased optimality and particle mass remain unproved. Owning gates: CP-01, CP-03, CP-13.
  • OPH-COMMON-FIELD-INTERFACES-v1: Complete native-history evaluation, common-reference observations and conservation bounds, full-Fock interacting lattice dynamics, and same-pair gauge/current/residue attachment. Physical action, clock, vacuum and chiral-continuum joins remain explicit. Original-complex exchange certificates, both-character GNS bounds, local complete-history budgets, rational support chain maps and bounded source-prepared interacting Gibbs references have separate explicit domains. Bounded compiled faithful-reference recovery, complete-field charged response and same-pole contact interactions retain their separate reference and clock domains. Exact finite mass-attachment exclusion and actual-data replay add zero eligible physical comparisons. Owning gates: CP-01, CP-02, CP-03, CP-04, CP-05, CP-06, CP-09, CP-13, CP-08, CP-07, CP-11.
  • native-exchange-statistics-20261029-v1: The native collision-free two-particle path group is exactly Z/2. Its positive and negative flat lifts have complete C/E quantum instruments, an exact number-conserving CAR correspondence, and source-compiled phase readouts. The coherent controls and sign choice are explicit; physical spin, localized matter, species and mass are not identified. Owning gates: CP-01, CP-03, CP-05, CP-13.

Next five parallel workstreams

Assignment: OPH-COMPLETION-NEXT-WAVE-2026-10-30-v12. This plans provisional work; it does not select or freeze a successor law, change the retained campaign or accept a gate.

Five current owners join compiled reference recovery, complete same-ground charged response, controlled contact interactions, physical mass attachment and actual-data comparison. Each keeps its source, state, operation, model clock and refinement domain explicit.

Owner Next concrete result Why this comes next
#1138 / CP-02: Join source reference recovery to the continuing observer clock Extend the compiled faithful-reference observation/recovery service to a common native field reference and compatible continuing clock normalization. Bounded source words implement the faithful-reference Petz channel and its adjoint observation effects, retaining environments, arbitrary input/reference columns, both pointer outcomes and every export branch. The two-site interacting Gibbs instance uses supplied blanks, reference and design parameters; recovery is neither a retraction nor physical clock selection.
#1141 / CP-05: Attach the charged field excitations to physical particle structure Join the exact charged projectors, nonzero residues, number charge and internal spin to the same protected native excitation and physical currents. Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived. The executable unit/operator dictionary passes finite electric continuity but fails the fixed bare-speed ring dispersion benchmark; finite-volume and renormalized-velocity qualifications are retained.
#1142 / CP-06: Extend complete interacting response to a physical field limit Construct a controlled physical detector and continuum attachment for the same interacting field, retaining all Weyl tastes and complete outcomes. The same Weyl/contact pair pole occurs in the exact complete two-fermion T matrix, with an optical identity and uniform fixed-broadening thermodynamic bounds. A separate complete source interaction echo has a rational positive signal bound. Fixed lattice spacing, model time and supplied preparations are explicit; no on-shell physical S matrix or chiral continuum is obtained. Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived.
#1143 / CP-07: Derive a physical spectrum from the same charged response Attach source-selected masses, mixing and physical currents to the same excitation, protected defect and observer clock without fitting each target. Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived. Exact current-source dimer spectroscopy excludes all 672 common-scale/common-chemical-potential three-lepton assignments to the declared broad ratio windows. A conditional electron-like/positron-like pair has equal gaps after one supplied electron calibration, with zero independently predicted absolute masses. The actual CODATA/ACT replay is retrospective and adds zero eligible CP11 comparisons. The same Weyl/contact pair pole occurs in the exact complete two-fermion T matrix, with an optical identity and uniform fixed-broadening thermodynamic bounds. A separate complete source interaction echo has a rational positive signal bound. Fixed lattice spacing, model time and supplied preparations are explicit; no on-shell physical S matrix or chiral continuum is obtained. The executable unit/operator dictionary passes finite electric continuity but fails the fixed bare-speed ring dispersion benchmark; finite-volume and renormalized-velocity qualifications are retained.
#1147 / CP-11: Test eligible physical attachments against actual observations Develop one common CP07/CP10 physical dictionary and complete comparison error contract, preserving all known-data exposure and bounded rejections. Exact current-source dimer spectroscopy excludes all 672 common-scale/common-chemical-potential three-lepton assignments to the declared broad ratio windows. A conditional electron-like/positron-like pair has equal gaps after one supplied electron calibration, with zero independently predicted absolute masses. The actual CODATA/ACT replay is retrospective and adds zero eligible CP11 comparisons. Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived. The executable unit/operator dictionary passes finite electric continuity but fails the fixed bare-speed ring dispersion benchmark; finite-volume and renormalized-velocity qualifications are retained.

Parallel starting work and the required joins:

Shared source interface:

  • Keep the unchanged C/E campaigns and the separately bounded endpoint-biased law family distinct; no result may swap their reference, scheduler, carrier or service premises without a new contract.
  • Retain the full C/E record and abort outputs, untouched references, core/FIFO metadata, source code, coherent controls and all preparation/export costs. A reduced stationary source/core marginal is not stationarity of adaptive full history.
  • Use source-bound finite theorem applications only after checking the exact state, algebra, branch, clock and domain hypotheses. The local repair family inherits the full branch algebra, and the odd closed-history limit assumes uninterrupted native records.
  • The Ramsey service compiles the density representation with its proven intertwiner; the full binary arc unitary, physical time and storage hardware remain additional obligations.
  • A sharp relational sector, active quantum memory, exchange-history parity and positive current form are separate observations. Identify one localized matter state, rest action, kinetic response, common clock and conserved stress before a particle or mass claim.
  • Preserve prior failures, empirical exposure, computational budgets and the accepted CP-00 class. A change to that class requires a reviewed successor contract; CP-12 applies its declared stopping rules without promoting component evidence to physical completion.
  • The active moving code has explicit opposite-core stops and modular leakage. Retain every stop and its resource cost; no reset or success conditioning may substitute for transport.
  • The stochastic-matrix kinetic parent and recovered modular generator are different operators. A shared residual symmetry is not an action/clock identification.
  • Exact fixed-source symmetry and finite-record inference have different quantifiers. The current/matter lift and source-triplet family attachment require their stated maps.
  • The interacting CAR field has a full-Fock extension and a fixed-spacing thermodynamic local limit under its supplied action. Retain all Weyl tastes; the chiral spatial-continuum and physical state/clock selection remain separate.
  • The endpoint-biased native observer, fair-coin active memory and operational triplet attachment have distinct source, reference and service contracts; their maps must be supplied explicitly.
  • The bound pair uses the supplied Weyl-contact action throughout transport, spectrum, charge and curvature. Its topology is trivial, its physical species is unassigned, and its coordinate kinetic/rest mass mismatch cannot be removed by one unit conversion.
  • The inherited native clock is faithful on the supplied invariant M2corner. Full-band rate transfer is executed under a separately supplied global Gibbs reference; finite independent native reference copies cannot provide the exact same inherited field clock.
  • Finite CAR restrictions and energy/entropy identities must not be relabeled physical geometry, Lorentz stress, generalized-entropy stationarity or an interacting chiral continuum.

CP00, CP01 and CP13 retain their independently accepted finite scope. The five selected owners keep their existing unaccepted statuses until their full physical same-process conditions hold. Finite maps, calibrated equal gaps and retrospective comparisons discharge none of the 84 canonical physical premises.

Review stays inside these workstreams:

  • CP-00 / #1135: Preserve the independently reviewed V2 class, source membership, fixed retrospective target/error contract and all prior exposure. Any primitive or target change requires a reviewed successor.
  • CP-01 / #1136: Preserve the accepted declared-service continuing observer and its complete-source membership/resource proof. Additional particle and field maps need their own same-process construction; physical apparatus is supplied.
  • CP-03 / #1139: Spectral isolation under the supplied Hamiltonian is not invariance under every native repair branch; active information transport and trivial band topology do not supply the required defect invariant.
  • CP-04 / #1140: Retain same-excitation energy/current/dispersion and vacuum-relative mass joins; sign similarity and simulation savings supply no physical energy.
  • CP-08 / #1144: Rational chain homotopy is not a deterministic vertex selector, physical metric, quantum channel or exact dynamical intertwiner.
  • CP-09 / #1145: The pure retained purification is not faithful; supplied beta/action and bounded Gibbs execution do not close G1--G6 or establish Einstein dynamics.
  • CP-12 / #1148: Audit each stopped-code, kinetic/reference, anomaly/family and regulator exclusion within its stated class; retain the surviving alternatives and all earlier empirical exposure.
  • CP-13 / #1137: Maintain the accepted finite theorem map, including the nonnegative pinching no-cancellation proof and the exact domains of new source/reference/field constructions. Canonical physical premises keep their own discharge requirements.

Physical Einstein composition requires the common matter, geometry, null/stress and normalization joins. The active empirical owner may reject bounded attachments or replay known data while its physical-acceptance predecessors remain unaccepted.

Next work and dependencies

CP-00 has accepted the reviewed executable law/resource/interpretation class. The CP-01 observer and CP-13 theorem map retain their declared finite scope and separate acceptance criteria. Dependent physical gates require their own constructions and predecessor mappings. CP-12 audits every stage within that class; a whole-program exclusion must cover every admitted realization of its mandatory target conjunction.

flowchart TD
    CP00["CP-00: Freeze the executable program class and decision contract"]
    CP01["CP-01: Execute one continuing native observer with accounted resources"]
    CP13["CP-13: Integrate finite theorems and curate the active proof chain"]
    CP02["CP-02: Construct the continuing regime, faithful reference and local modular clocks"]
    CP03["CP-03: Exhibit a localized native defect and its protecting invariant"]
    CP04["CP-04: Derive common defect maintenance energy, kinetics and conserved stress"]
    CP05["CP-05: Transport the same defects and derive particle identity and currents"]
    CP06["CP-06: Obtain one interacting chiral 3+1 field description from native records"]
    CP07["CP-07: Freeze the physical dictionary and derive the matched particle spectrum"]
    CP08["CP-08: Construct responsive geometry and causal clocks on the same source"]
    CP09["CP-09: Realize the joint modular, stress and entropy premises G1--G6"]
    CP10["CP-10: Compose the realized Einstein response with matter and clock readouts"]
    CP11["CP-11: Run joint independent physical tests and decide the completion milestone"]
    CP12["CP-12: Audit obstructions and apply candidate, class and program stopping rules"]
    CP00 --> CP01
    CP00 --> CP13
    CP01 --> CP13
    CP01 --> CP02
    CP13 --> CP02
    CP01 --> CP03
    CP13 --> CP03
    CP02 --> CP04
    CP03 --> CP04
    CP03 --> CP05
    CP04 --> CP05
    CP02 --> CP06
    CP04 --> CP06
    CP05 --> CP06
    CP06 --> CP07
    CP02 --> CP08
    CP04 --> CP08
    CP06 --> CP09
    CP08 --> CP09
    CP09 --> CP10
    CP07 --> CP11
    CP10 --> CP11
    CP00 --> CP12
    click CP00 "https://github.com/FloatingPragma/observer-patch-holography/issues/1135"
    click CP01 "https://github.com/FloatingPragma/observer-patch-holography/issues/1136"
    click CP13 "https://github.com/FloatingPragma/observer-patch-holography/issues/1137"
    click CP02 "https://github.com/FloatingPragma/observer-patch-holography/issues/1138"
    click CP03 "https://github.com/FloatingPragma/observer-patch-holography/issues/1139"
    click CP04 "https://github.com/FloatingPragma/observer-patch-holography/issues/1140"
    click CP05 "https://github.com/FloatingPragma/observer-patch-holography/issues/1141"
    click CP06 "https://github.com/FloatingPragma/observer-patch-holography/issues/1142"
    click CP07 "https://github.com/FloatingPragma/observer-patch-holography/issues/1143"
    click CP08 "https://github.com/FloatingPragma/observer-patch-holography/issues/1144"
    click CP09 "https://github.com/FloatingPragma/observer-patch-holography/issues/1145"
    click CP10 "https://github.com/FloatingPragma/observer-patch-holography/issues/1146"
    click CP11 "https://github.com/FloatingPragma/observer-patch-holography/issues/1147"
    click CP12 "https://github.com/FloatingPragma/observer-patch-holography/issues/1148"
Loading
Gate Research task Work status / acceptance prerequisites Issue
CP-00 Freeze the executable program class and decision contract ACCEPTED #1135
CP-01 Execute one continuing native observer with accounted resources ACCEPTED #1136
CP-13 Integrate finite theorems and curate the active proof chain ACCEPTED #1137
CP-02 Construct the continuing regime, faithful reference and local modular clocks In progress #1138
CP-03 Exhibit a localized native defect and its protecting invariant In progress #1139
CP-04 Derive common defect maintenance energy, kinetics and conserved stress In progress; acceptance awaiting CP-02, CP-03 #1140
CP-05 Transport the same defects and derive particle identity and currents In progress; acceptance awaiting CP-03, CP-04 #1141
CP-06 Obtain one interacting chiral 3+1 field description from native records In progress; acceptance awaiting CP-02, CP-04, CP-05 #1142
CP-07 Freeze the physical dictionary and derive the matched particle spectrum In progress; acceptance awaiting CP-06 #1143
CP-08 Construct responsive geometry and causal clocks on the same source In progress; acceptance awaiting CP-02, CP-04 #1144
CP-09 Realize the joint modular, stress and entropy premises G1--G6 In progress; acceptance awaiting CP-06, CP-08 #1145
CP-10 Compose the realized Einstein response with matter and clock readouts Awaiting CP-09 #1146
CP-11 Run joint independent physical tests and decide the completion milestone Awaiting CP-07, CP-10 #1147
CP-12 Audit obstructions and apply candidate, class and program stopping rules In progress #1148

The arrows are research acceptance dependencies, not a new theorem entailment graph. The existing claim graph continues to record theorem/claim dependencies.

Decisions and stopping

Verdict Evidence needed Consequence
Candidate rejection A replayable failure of the specified law/state/access/readout contract Stop that candidate and retain its result
Class obstruction A proof covering every realization in an explicitly quantified subclass Stop that class; list remaining admitted classes
Whole-program falsification Verified contradiction in indispensable premises, exclusion of every frozen realization of a required join, or an unavoidable independently excluded prediction Stop the frozen program; any premise/class change starts a new version
Inconclusive Open maps, incomplete coverage or an unsuccessful finite search No confirmation and no impossibility claim
Resource/value stop A declared budget or return threshold is reached A research stop, not scientific falsification

The executable class is frozen by the reviewed CP-00 contract. No whole-program exclusion is claimed; it would need a proof covering every admitted realization of the mandatory target conjunction. A changed class requires a successor version with prior evidence preserved.

Every obstruction records target revision, mandatory premises, quantified class, evidence and independent check, coverage, surviving escape routes and the exact consequence. Issue closure alone is not scientific acceptance. The registry validator checks structure and artifact custody, not the truth of a mathematical proof or a physical interpretation.

Gate contracts

CP-00: Freeze the executable program class and decision contract

Owner: #1135. Status: ACCEPTED. Requires: none. Hypothesis obligations: EMH-1, EMH-2, EMH-3, EMH-4, EMH-5.

A versioned, content-bound class of admissible carrier/refinement, repair and memory laws, record instruments, resources, preparations, clocks and interpretation maps; one target and exposure record fixed before validation.

Acceptance:

  • Distinguish fixed C/E law, permitted quantum record implementations and any explicitly bounded alternative-law family; enumerate what may vary and why.
  • Declare observable domains, Standard Model/neutrino and gravity targets, allowed calibrations, P/N ancestry, uncertainty, prediction rules, computational budgets and success/stop thresholds.
  • Provide the actual source interface and resource boundary; separate the first field/particle/gravity milestone from unfulfilled full-Universe and internal-closure obligations.
  • Bind all retained failures and prior empirical exposure. Record a new program version for any later change of mandatory premises or admissible class.

Obstruction/stopping test: If the declared class is empty or jointly inconsistent, prove that exclusion. An unbounded unspecified escape class makes a whole-program no-go unarmed; an unfinished freeze is not confirmation or falsification.

Retained starting evidence:

Reviewed acceptance evidence:

  • program_class_v2.json: Reviewed successor executable class with actual native/program interfaces, resource ceilings, all71retrospective observations, physical targets, calibration/error/exposure and stop/version rules. No physical prediction or class exclusion is claimed.
  • program_class_v2_review.json: Independent exact class, actual declared-service observer and17attachment theorem-map review. Closes no canonical physical premise or downstream particle/field/gravity gate.

Current component progress (not gate acceptance):

  • campaign.json: Frozen finite C/E mixture, positive repair/selection and bounded classical-memory family. The parent refinement and physical-interpretation boundary is not established.
  • campaign.json: Frozen finite component diagnostics on the unchanged C/E family and the pinned pending PR1149 input. Reference transport, clock/wave comparison, adjacent-pair localization and maintenance-energy tests retain separate premises; no integrated gate or physical comparison is accepted.
  • joins_campaign.json: Frozen finite theorem applications and explicit service extension on the unchanged native C/E law: all-core compiled clock coverage, joint event-clock/field records, native history exchange topology and current/action-mode comparisons. Prior diagnostics and their limited service menu remain retained.
  • campaign.json: Frozen bounded finite alternative-law class; full physical program class remains unfrozen.
  • results.json: Exact complete biased C/E instruments preserve a nonuniform faithful product reference and modular covariance; endpoint-only reversibility excludes the old fixed three-charge target, while bare-source branch algebra is unchanged.
  • observer_campaign.json: Versioned finite continuation and coherent-service composition on the bounded endpoint-biased family.

Earlier related work: #1076, #1078, #1026.

CP-01: Execute one continuing native observer with accounted resources

Owner: #1136. Status: ACCEPTED. Requires: CP-00. Hypothesis obligations: EMH-1, EMH-2.

One replayable native repair/memory process that prepares, acts, reads, retains records and continues on overlapping accessible regions, with every service and failure branch accounted.

Acceptance:

  • Use the frozen carrier, complete record instruments and law; specify state, controls, scheduler and memory update before testing.
  • Construct or explicitly count coherent resources, ancillas, initialization, read/write, retention, feedback, timeout and recovery services; do not hide supplied fields or clocks.
  • Verify complete classical/quantum outputs including untouched references, interventions, failures and continuation; give the declared growth/refinement and resource bounds.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.
  • Retain the original #1077 q=3 common-code scalar preparation/history as unexecuted, with its mathematical/resource bounds. Complete it if adopted, or explicitly retire it from the active program through CP-00/CP-13 without relabeling it executed or obstructed.

Obstruction/stopping test: A source-access, coherence, retention or resource impossibility rejects the tested implementation class. Escalate to the whole frozen program only if CP-12 proves that every admitted implementation is covered.

Retained starting evidence:

Reviewed acceptance evidence:

  • results.json: Literal continuing native observer member, complete source/reference instruments, record-only controls, FIFO/exports/stops, preparation/readout chain and independently recomputed counted services. Full-field physics and external apparatus realization remain unestablished.
  • program_class_v2_review.json: Independent exact class, actual declared-service observer and17attachment theorem-map review. Closes no canonical physical premise or downstream particle/field/gravity gate.

Current component progress (not gate acceptance):

  • observer_results.json: Exact continuing C/E and delayed-mixture observer instruments, six-attempt executions, arbitrary-reference certificate, FIFO exports, full-buffer halt and resource accounting. Preparation and physical services remain supplied.
  • continuation_results.json: Exact binary66 transported-core metadata through 24-attempt C/E and delayed-mixture FIFO continuation, with arbitrary-reference branch identities, 23 exports, last-record ambiguity controls and explicit unavailable clock-service outcomes. No new clock word or memory hardware is executed.
  • clock_services_results.json: Executes and rationally certifies all 66 parameter-four transported-core source words, adding 62 declared services with counted ROM, pulses, loads/exports and complete abort/reference outputs. Complete native-record covariance and exported-history tests preserve the prior unavailable-service result under its original menu; physical apparatus remains supplied.
  • ramsey_service_results.json: Source-executed controlled Ramsey density walk and complete C/E joint clock/field records, with aborts, references, continuation and counted supplied services; no physical time calibration.
  • clock_count_inference_results.json: A complete source clock/field instrument strictly improves inference of its shared native incident count over the clock detector alone. Rational risk bounds, finite preparation and abort accounting retain the dimensionless event-count scope; physical calibration is not established.
  • screened_recovery_results.json: The canonical screened q=1 encoder and all 208 positive C/E recoveries are source-executed. Exact corrected composition preserves arbitrary logical/reference states with explicit core reset; pulse and archive costs are retained. Autonomous localized matter is not established.
  • results.json: Four source-executed shared checkpoints give strictly ordered conditional ensemble clock and field readouts through three FIFO exports. A raw two-anchor affine fit fails the reserved fourth event with a positive source-error margin; physical time calibration is not supplied.
  • observer_results.json: Unique quantum product reference with exact finite preparation, stationary source/FIFO access, same-law source modular clock and positive complete-scheduler response. The actual prepared source flow has a finite logarithm bound; supplied coherent services, port weights and physical calibration remain explicit. No integrated gate or physical comparison is accepted.
  • record_clock_results.json: Complete31,457,280-event continuing native acquisition identifies relative product-reference weights with held-out cycle checks. Exact record-box mixing and source-compiled phase bounds control complete future readouts and the actual prepared source-marginal clock. Source-weight selection, coherent hardware, physical calibration and refining matter/gravity joins are separate obligations.
  • results.json: An explicit supplied isometry maps the same N=2 eta pair and dark reference to a native M2 corner. Complete compiled herald/continuation/record-clock/energy histories retain all stops and a finite unconditional error bound. Full spatial encoding and physical calibration are not established.
  • results.json: Bounded reset and source-interface progress under the stated endpoint-biased code process, distinguished from the reviewed fair-coin mobile-memory construction. Active quantum transport is not a native topological particle or a clock-compatible field encoding.
  • mobile_results.json: Exact all-code moving-core law and finite-horizon optimal reset policy, attaining one reset per 150 native attempts. All 60 encoders and complete C/E recoveries compile with full-register checks and counted errors/resources; complete source histories execute motion, forced reset and identity-holonomy exchange. Recovery remains active every attempt; no localized particle, physical energy, statistics or spin is identified.
  • variant.py: Separate exact identity-recovery variant removes3120 redundant words and saves48391.49 supplied pulses per stationary native attempt; original benchmark retained, no physical energy or new protection.
  • universality.py: Positive-coin classification transfer proves the fixed biased optimal asymptotic reset rate across arbitrary adaptive exact all-seam sharp-q1 codes. Separate clock-factor composition is operational; finite-horizon biased optimality and particle mass remain unproved.
  • compiler.py: Exact complete-history partial-map evaluator with shared controller/FIFO/stops and arbitrary references; host storage reduction only.
  • statistics_results.json: The native collision-free two-particle path group is exactly Z/2. Its positive and negative flat lifts have complete C/E quantum instruments, an exact number-conserving CAR correspondence, and source-compiled phase readouts. The coherent controls and sign choice are explicit; physical spin, localized matter, species and mass are not identified.

Earlier related work: #1077, #1076, #1026.

CP-13: Integrate finite theorems and curate the active proof chain

Owner: #1137. Status: ACCEPTED. Requires: CP-00, CP-01. Hypothesis obligations: EMH-1, EMH-2, EMH-3, EMH-4.

A theorem-to-model integration and relevance review in the existing premise map: each result needed by the completion chain has an owning gate and an explicit model-premise proof obligation; irrelevant branches leave the active path.

Acceptance:

  • Start from the existing theorem guides, claim registry and model premise map; inspect actual statements, domains, quantifiers and proof dependencies rather than matching names or abstract dimensions.
  • For each required theorem specify its native state/algebra/operation/clock/refinement interface and which gate must prove every premise on the same process. Compatibility must be specified independently of the update; distinguish runtime/source checks from mathematical entailment.
  • Classify results as realized on the claimed domain, required but conditional, alternative-branch, redundant, irrelevant to this completion target, or needing correction. Preserve a model counterexample or verified witness for exclusions and claimed instantiations.
  • Remove redundant/irrelevant results from active derivation and headline routes. Archive/deprecate with provenance when appropriate; delete only after caller/import, claim, receipt and publication checks. Correct false statements openly and preserve frozen evidence.
  • Gate acceptance here establishes the reviewed map and cleanup, not discharge of future physical premises. The owning construction gates must later prove and bind their assigned premises before invoking each theorem.

Obstruction/stopping test: A required premise combination with no admissible common realization routes to CP-12. An unused theorem is not a no-go; a false theorem refutes its statement, and becomes a whole-program obstruction only if indispensable premises or every allowed realization are thereby excluded.

Retained starting evidence:

Reviewed acceptance evidence:

  • finite_attachment_map.json: Complete84premise ownership/relevance review,20inspected finite attachments with15realized instances, corrected active routes and explicit finite CP01 joins. Allcanonicalphysicaldischarge statuses preserved.
  • program_class_v2_review.json: Independent exact class, actual declared-service observer and17attachment theorem-map review. Closes no canonical physical premise or downstream particle/field/gravity gate.

Current component progress (not gate acceptance):

  • theorem_map.json: Eleven actual theorem/model mappings with twelve source bindings; fixed-mixture stationarity is distinguished from correlated adaptive scheduling, and all downstream physical premises remain explicit.
  • clock_services_results.json: Executes and rationally certifies all 66 parameter-four transported-core source words, adding 62 declared services with counted ROM, pulses, loads/exports and complete abort/reference outputs. Complete native-record covariance and exported-history tests preserve the prior unavailable-service result under its original menu; physical apparatus remains supplied.
  • joint_clock_results.json: Complete C/E histories use a shared native incident count to drive repeated transported clock words and a separate protected coherent field walk, retaining preparation flags, source exports, both field outcomes and untouched references. A matched-marginal control changes the joint law. The coherent services and event/parameter dictionary are explicit; equal generators and laboratory calibration are not assumed.
  • defect_history_results.json: Exact Z2 first-homology/exchange class on the native two-particle configuration graph under the declared elementary history deformations, with positive complete C/E path witnesses. This is a history invariant, not a source-only protecting charge, fermionic phase or autonomously stable localized particle.
  • mode_energy_results.json: Derives a positive native-current quadratic form and verifies its port/incidence theorem map. In the separately declared product-field source, independent rest-gap and moving-symbol curvature tests give a finite pulse correction approaching the mass-shell ratio one under subdivision. This does not assign that action, physical mass or gravitational stress to the history excitation.
  • results.json: Exact complete biased C/E instruments preserve a nonuniform faithful product reference and modular covariance; endpoint-only reversibility excludes the old fixed three-charge target, while bare-source branch algebra is unchanged.
  • ramsey_service_results.json: Source-executed controlled Ramsey density walk and complete C/E joint clock/field records, with aborts, references, continuation and counted supplied services; no physical time calibration.
  • sector_results.json: Exact sharp-sector exterior distances, uninterrupted odd closed-history rank-one theorem and source-executed active q=1 code; native activity excess is not physical rest energy.
  • reference_balance_results.json: Exact fixed-reference drift under bare C/E and stationary co-moving source/core measure with conserved relational charge and zero charge gradient form; no adaptive-feedback stationarity or rest-energy assignment.
  • screening_results.json: Exact sharp-sector cap minimax, optimal one-port screening for an all-seam corrected q=1 qubit, and finite native-edge first exits. Source pulse recovery for the new code and physical particle identity are not established.
  • energy_bridge_results.json: The canonical screened code has native current rate 1/6 per uniform-seam attempt. Positive conserved-sector reweightings preserve stationary dynamics and leave formal Gibbs energy contrasts free. Prior-code fixed-seam recovery pulses retain their own protocol.
  • clock_count_inference_results.json: A complete source clock/field instrument strictly improves inference of its shared native incident count over the clock detector alone. Rational risk bounds, finite preparation and abort accounting retain the dimensionless event-count scope; physical calibration is not established.
  • screened_recovery_results.json: The canonical screened q=1 encoder and all 208 positive C/E recoveries are source-executed. Exact corrected composition preserves arbitrary logical/reference states with explicit core reset; pulse and archive costs are retained. Autonomous localized matter is not established.
  • results.json: Four source-executed shared checkpoints give strictly ordered conditional ensemble clock and field readouts through three FIFO exports. A raw two-anchor affine fit fails the reserved fourth event with a positive source-error margin; physical time calibration is not supplied.
  • transport_results.json: The same screened code has a positive rank-eleven native current covariance, but complete corrected logical transfer is identity and the core resets each attempt. Logical-state-dependent current/variance ratios prevent transfer of the earlier uniform-source wave rate. No rest gap or particle mass is identified.
  • sector_action_results.json: A Lean theorem proves stationary reweighting, conditional cancellation and zero sector-potential gradient for every positive conserved-sector factor. Exact checks bind its premises to all 4356 native source/core states; the full native kernel is checked in Python rather than encoded as a Lean value.
  • observer_results.json: Unique quantum product reference with exact finite preparation, stationary source/FIFO access, same-law source modular clock and positive complete-scheduler response. The actual prepared source flow has a finite logarithm bound; supplied coherent services, port weights and physical calibration remain explicit. No integrated gate or physical comparison is accepted.
  • record_clock_results.json: Complete31,457,280-event continuing native acquisition identifies relative product-reference weights with held-out cycle checks. Exact record-box mixing and source-compiled phase bounds control complete future readouts and the actual prepared source-marginal clock. Source-weight selection, coherent hardware, physical calibration and refining matter/gravity joins are separate obligations.
  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • results.json: An explicit supplied isometry maps the same N=2 eta pair and dark reference to a native M2 corner. Complete compiled herald/continuation/record-clock/energy histories retain all stops and a finite unconditional error bound. Full spatial encoding and physical calibration are not established.
  • results.json: Actual signed CAR restrictions retain local N=0,1,2, references and every history outcome; CP expectations and cube embeddings compose. Exact Hamiltonian compression does not intertwine dynamics. Fixed-spacing locality is not physical Lorentz geometry.
  • results.json: Exact local energy continuity and interaction-dependent boundary flux on the full finite field; same-action quantum Gibbs/entropy identity and regional bare-energy countercontrol. Lorentz stress, null geometry, area variation and Einstein premises are not established.
  • finite_attachment_map.json: Exhaustive ownership and relevance navigation for the existing 84-premise register, with source-bound finite model attachments and explicit unresolved construction/acceptance joins. It is not a new audit of every Lean module or discharge of global physical premises.
  • results.json: Same-action contact coupling tests complete momentum pockets, retained mirror modes and interaction leakage; exclusions apply to the declared projection at fixed lattice coupling, not every chiral regulator or continuum limit.
  • results.json: Bounded reset and source-interface progress under the stated endpoint-biased code process, distinguished from the reviewed fair-coin mobile-memory construction. Active quantum transport is not a native topological particle or a clock-compatible field encoding.
  • results.json: Faithful native coherence with reference-identical complete tape/exterior, exact contrast lifetime, zero modular-energy excess and arbitrary-code exterior/clock exclusions. Its core is immobile; no topological particle or mass is assigned.
  • results.json: Complete moving8128-state field sector driven by native record-derived rate using counted local source words; uniform ideal-word halfdiamond bound<0.038565. Supplied global Gibbs reference and rate-transfer service are explicit; native reference inheritance and physical calibration are not established.
  • acceptance_audit.py: Exact noninteger pair-gap witness excludes an eta-calibrated invariant modular intertwiner from every finite independent native reference product. Approximate generator error exceeds1/24. Correlated references and counted alternative services are outside this exclusion.
  • mobile_results.json: Exact all-code moving-core law and finite-horizon optimal reset policy, attaining one reset per 150 native attempts. All 60 encoders and complete C/E recoveries compile with full-register checks and counted errors/resources; complete source histories execute motion, forced reset and identity-holonomy exchange. Recovery remains active every attempt; no localized particle, physical energy, statistics or spin is identified.
  • control.py: Exact seven-state contact-domain reduction and rational pole enclosure; the separate spectral helper sharpens only the full-field rate-error term. Full spatial histories and physical field/reference premises remain.
  • variant.py: Separate exact identity-recovery variant removes3120 redundant words and saves48391.49 supplied pulses per stationary native attempt; original benchmark retained, no physical energy or new protection.
  • universality.py: Positive-coin classification transfer proves the fixed biased optimal asymptotic reset rate across arbitrary adaptive exact all-seam sharp-q1 codes. Separate clock-factor composition is operational; finite-horizon biased optimality and particle mass remain unproved.
  • compiler.py: Exact complete-history partial-map evaluator with shared controller/FIFO/stops and arbitrary references; host storage reduction only.
  • retraction.py: Exact faithful regional retraction criterion and 117/16 boundary witness; ordinary restrictions and reduced clocks remain valid.
  • observation.py: Common-reference UCP Petz-transpose observations with exact nested tower; neither local retraction nor modular covariance is assumed.
  • fixed.py: All-input source-only H66 conservation exclusion and exact GNS contraction/near-conservation bounds; joint feedback, active recovery and physical energy are separate.
  • field.py: All-number full-Fock source construction and fixed-spacing interacting thermodynamic local dynamics with rational locality bounds; no chiral spatial-continuum or native action selection.
  • statistics_results.json: The native collision-free two-particle path group is exactly Z/2. Its positive and negative flat lifts have complete C/E quantum instruments, an exact number-conserving CAR correspondence, and source-compiled phase readouts. The coherent controls and sign choice are explicit; physical spin, localized matter, species and mass are not identified.
  • signed.py: Both exchange characters have full source algebra and the same diagonal-reference GNS contraction bounds. Exact branchwise nonpositive similarity transfers spectra; no physical gauge or protected charge follows.
  • presentation.py: Exact noncommutative Tietze replay on the original native collision-free two-complex reduces235generators and495relators to <g|g^2>, with odd ordered-cover parity. No physical species, spin or sign selection.
  • local_simulation.py: Overlapping CAR supports give an extensive Strang coefficient and integrated factorial locality tail. Nested backward buffers bound complete local histories with arbitrary references and exact source schedules, independently of ambient volume; initial restriction, action, readout and model clock remain supplied.
  • construction.py: Exact rational strong chain deformation retracts on the actual12/42/162/642-vertex supports compose and intertwine all60proper actions. Rational chain maps are not vertex selectors, physical geometry or quantum channels.
  • thermal.py: Complete source words prepare a faithful interacting Gibbs marginal on one/two sites with retained purification, all exports and a subsequent field/pointer history. All-number CAR restrictions compose and the matrix first law holds; initialization, beta/action, larger-reference preparation and geometric premises remain supplied.
  • recovery.py: Bounded source words implement the faithful-reference Petz channel and its adjoint observation effects, retaining environments, arbitrary input/reference columns, both pointer outcomes and every export branch. The two-site interacting Gibbs instance uses supplied blanks, reference and design parameters; recovery is neither a retraction nor physical clock selection.
  • spectrum.py: Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived.
  • scattering.py: The same Weyl/contact pair pole occurs in the exact complete two-fermion T matrix, with an optical identity and uniform fixed-broadening thermodynamic bounds. A separate complete source interaction echo has a rational positive signal bound. Fixed lattice spacing, model time and supplied preparations are explicit; no on-shell physical S matrix or chiral continuum is obtained.
  • compare.py: Exact current-source dimer spectroscopy excludes all 672 common-scale/common-chemical-potential three-lepton assignments to the declared broad ratio windows. A conditional electron-like/positron-like pair has equal gaps after one supplied electron calibration, with zero independently predicted absolute masses. The actual CODATA/ACT replay is retrospective and adds zero eligible CP11 comparisons.

Earlier related work: #1033, #1026, #1078.

CP-02: Construct the continuing regime, faithful reference and local modular clocks

Owner: #1138. Status: IN_PROGRESS. Requires: CP-01, CP-13. Hypothesis obligations: EMH-1.

A same-process reference/state regime, observer algebras and implemented modular histories with compatible local clock and energy normalization maps.

Acceptance:

  • Exhibit reference preparation, support/faithfulness, continuing regime, accessible algebras and regional compatibility.
  • Distinguish passive repair, dimensionless modular flow, event counts and physical duration; retain tracial-reference and compressed-algebra controls.
  • Derive local clock comparisons and the common normalization used by energy and propagation; preserve full records, disturbance and resource errors.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: Prove whether the frozen preparation/access grammar forces trivial modular action, incompatible regional flows or no admissible physical clock map. A failed chosen reference alone is a candidate obstruction.

Retained starting evidence:

Current component progress (not gate acceptance):

  • adaptive_reference_results.json: Exact two-attempt counterexample to importing the uniform source reference under current-record feedback: 30 changed entries, maximum deviation 1/960.
  • stationary_reference_results.json: Exact unique classical stationary law on the 129-state recurrent support of the 132-state source/current-bit kernel; its 66-state source marginal is positive and nonuniform. No quantum uniqueness or implemented clock is inferred.
  • observer_reference_results.json: Exact stationary lift through the actual repair-only C/E full-record FIFO instruments, with 128/192 positive record blocks and 4218 positive diagonal entries each. Stationarity concerns the finite marginal, not growing exported history; support faithfulness does not supply modular access.
  • modular_access_results.json: Actual nontracial stationary C/E record blocks have a modular action that the admitted real native-history operations cannot implement on their fixed full support algebra: exact normalized trace-distance error at least 1/2. This conditional algebra/access obstruction excludes neither other clock encodings nor the broader program.
  • clock_wave_results.json: Replays the existing native-return reconstruction sigma_wave proportional to exp(-arccos K), finite-cap bounds and complete quadrature-record clock inference, with a conditional clock-to-wave uncertainty map. The negative checks reject substituting PR1149's different three-charge reference into that dictionary; they imply neither a general clock/wave obstruction nor a executed joint instrument or physical calibration.
  • joint_clock_results.json: Complete C/E histories use a shared native incident count to drive repeated transported clock words and a separate protected coherent field walk, retaining preparation flags, source exports, both field outcomes and untouched references. A matched-marginal control changes the joint law. The coherent services and event/parameter dictionary are explicit; equal generators and laboratory calibration are not assumed.
  • results.json: Exact complete biased C/E instruments preserve a nonuniform faithful product reference and modular covariance; endpoint-only reversibility excludes the old fixed three-charge target, while bare-source branch algebra is unchanged.
  • ramsey_service_results.json: Source-executed controlled Ramsey density walk and complete C/E joint clock/field records, with aborts, references, continuation and counted supplied services; no physical time calibration.
  • reference_balance_results.json: Exact fixed-reference drift under bare C/E and stationary co-moving source/core measure with conserved relational charge and zero charge gradient form; no adaptive-feedback stationarity or rest-energy assignment.
  • clock_count_inference_results.json: A complete source clock/field instrument strictly improves inference of its shared native incident count over the clock detector alone. Rational risk bounds, finite preparation and abort accounting retain the dimensionless event-count scope; physical calibration is not established.
  • results.json: Four source-executed shared checkpoints give strictly ordered conditional ensemble clock and field readouts through three FIFO exports. A raw two-anchor affine fit fails the reserved fourth event with a positive source-error margin; physical time calibration is not supplied.
  • observer_results.json: Unique quantum product reference with exact finite preparation, stationary source/FIFO access, same-law source modular clock and positive complete-scheduler response. The actual prepared source flow has a finite logarithm bound; supplied coherent services, port weights and physical calibration remain explicit. No integrated gate or physical comparison is accepted.
  • record_clock_results.json: Complete31,457,280-event continuing native acquisition identifies relative product-reference weights with held-out cycle checks. Exact record-box mixing and source-compiled phase bounds control complete future readouts and the actual prepared source-marginal clock. Source-weight selection, coherent hardware, physical calibration and refining matter/gravity joins are separate obligations.
  • results.json: An explicit supplied isometry maps the same N=2 eta pair and dark reference to a native M2 corner. Complete compiled herald/continuation/record-clock/energy histories retain all stops and a finite unconditional error bound. Full spatial encoding and physical calibration are not established.
  • observation.py: Common-reference UCP Petz-transpose observations with exact nested tower; neither local retraction nor modular covariance is assumed.
  • fixed.py: All-input source-only H66 conservation exclusion and exact GNS contraction/near-conservation bounds; joint feedback, active recovery and physical energy are separate.
  • certificate.py: Sector/fiber energy-offset conditions, same-history zero energy and fixed-number vacuum-comparison boundary; no physical calibration.
  • budget.py: Full 8,128-state 21-step schedule saves9,019,648 supplied pulses under the previous complete error ceiling; preparation and physical calibration remain separate.
  • thermal.py: Complete source words prepare a faithful interacting Gibbs marginal on one/two sites with retained purification, all exports and a subsequent field/pointer history. All-number CAR restrictions compose and the matrix first law holds; initialization, beta/action, larger-reference preparation and geometric premises remain supplied.
  • recovery.py: Bounded source words implement the faithful-reference Petz channel and its adjoint observation effects, retaining environments, arbitrary input/reference columns, both pointer outcomes and every export branch. The two-site interacting Gibbs instance uses supplied blanks, reference and design parameters; recovery is neither a retraction nor physical clock selection.
  • dictionary.py: An executable sixteen-state benchmark supplies Q=e(N-2), S=hbar*S_internal and one measured electron energy scale, giving assigned Hamiltonian-time and lattice-length units. Complete candidate electric-current/dipole response obeys continuity and charge conjugation, but the pure-gauge open bond measures no magnetic moment and its bare contact kernel is not Coulomb exchange. A separately declared four-site periodic extension checks momentum, all number sectors, particle-hole residues and free doublers. Its charged poles fail the fixed dimer-mass/bare-speed lattice-Dirac benchmark and a same-volume rest-gap variant. Finite-volume shifts and a possible renormalized velocity remain distinct: two momentum-squared values cannot validate a fitted dispersion. This rejects only that supplied finite dictionary benchmark, not an OPH continuum; physical electron/positron identity and QED remain unestablished.

Earlier related work: #1077, #1026.

CP-03: Exhibit a localized native defect and its protecting invariant

Owner: #1139. Status: IN_PROGRESS. Requires: CP-01, CP-13. Hypothesis obligations: EMH-3.

An actual native state/observable sector with a localized core, reference-like exterior and a boundary charge invariant under the full admitted repair law.

Acceptance:

  • Define the configuration or quantum/history sector, boundary transport, deformation class and invariant independently of a target mass.
  • Prove autonomous protection or a controlled lifetime with all seams and branches retained; disclose active recovery and finite-size assumptions.
  • Retain the exact transient-collision and irreducible classical-shell controls. Check quantum and record sectors separately before making a universal exclusion.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: An exhaustive invariant/localization no-go over every sector and allowed refinement in the frozen defect class stops that mechanism. The existing classical and collision-subspace exclusions do not exhaust arbitrary quantum/history sectors.

Retained starting evidence:

Current component progress (not gate acceptance):

  • defect_algebra_results.json: Exact all-branch full-matrix-algebra certificate for C and E on H78/H66, excluding nontrivial source-only charges commuting with every active branch. History-dependent charges, arbitrary expectation-fixed observables, metastability and refining defects are not excluded.
  • localized_results.json: Complete C/E adjacent-pair population diagnostic: uniform mean first exit 15 repairs, mean return 18 repairs, positive-exploration lifetime bound, accounted returns and failed reference-exterior matching. The multi-step first-exit flag is offline population bookkeeping, not added quantum monitoring or a protected topological defect.
  • defect_history_results.json: Exact Z2 first-homology/exchange class on the native two-particle configuration graph under the declared elementary history deformations, with positive complete C/E path witnesses. This is a history invariant, not a source-only protecting charge, fermionic phase or autonomously stable localized particle.
  • sector_results.json: Exact sharp-sector exterior distances, uninterrupted odd closed-history rank-one theorem and source-executed active q=1 code; native activity excess is not physical rest energy.
  • reference_balance_results.json: Exact fixed-reference drift under bare C/E and stationary co-moving source/core measure with conserved relational charge and zero charge gradient form; no adaptive-feedback stationarity or rest-energy assignment.
  • screening_results.json: Exact sharp-sector cap minimax, optimal one-port screening for an all-seam corrected q=1 qubit, and finite native-edge first exits. Source pulse recovery for the new code and physical particle identity are not established.
  • screened_recovery_results.json: The canonical screened q=1 encoder and all 208 positive C/E recoveries are source-executed. Exact corrected composition preserves arbitrary logical/reference states with explicit core reset; pulse and archive costs are retained. Autonomous localized matter is not established.
  • transport_results.json: The same screened code has a positive rank-eleven native current covariance, but complete corrected logical transfer is identity and the core resets each attempt. Logical-state-dependent current/variance ratios prevent transfer of the earlier uniform-source wave rate. No rest gap or particle mass is identified.
  • results.json: Active source-compiled recovery follows recorded cores without successful-step reset; all forbidden-core stops, exact lifetime/resource equations, exterior mismatch and fixed-clock leakage remain. No autonomous localized matter is claimed.
  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • results.json: Bounded reset and source-interface progress under the stated endpoint-biased code process, distinguished from the reviewed fair-coin mobile-memory construction. Active quantum transport is not a native topological particle or a clock-compatible field encoding.
  • results.json: Faithful native coherence with reference-identical complete tape/exterior, exact contrast lifetime, zero modular-energy excess and arbitrary-code exterior/clock exclusions. Its core is immobile; no topological particle or mass is assigned.
  • mobile_results.json: Exact all-code moving-core law and finite-horizon optimal reset policy, attaining one reset per 150 native attempts. All 60 encoders and complete C/E recoveries compile with full-register checks and counted errors/resources; complete source histories execute motion, forced reset and identity-holonomy exchange. Recovery remains active every attempt; no localized particle, physical energy, statistics or spin is identified.
  • variant.py: Separate exact identity-recovery variant removes3120 redundant words and saves48391.49 supplied pulses per stationary native attempt; original benchmark retained, no physical energy or new protection.
  • universality.py: Positive-coin classification transfer proves the fixed biased optimal asymptotic reset rate across arbitrary adaptive exact all-seam sharp-q1 codes. Separate clock-factor composition is operational; finite-horizon biased optimality and particle mass remain unproved.
  • fixed.py: All-input source-only H66 conservation exclusion and exact GNS contraction/near-conservation bounds; joint feedback, active recovery and physical energy are separate.
  • statistics_results.json: The native collision-free two-particle path group is exactly Z/2. Its positive and negative flat lifts have complete C/E quantum instruments, an exact number-conserving CAR correspondence, and source-compiled phase readouts. The coherent controls and sign choice are explicit; physical spin, localized matter, species and mass are not identified.
  • signed.py: Both exchange characters have full source algebra and the same diagonal-reference GNS contraction bounds. Exact branchwise nonpositive similarity transfers spectra; no physical gauge or protected charge follows.
  • presentation.py: Exact noncommutative Tietze replay on the original native collision-free two-complex reduces235generators and495relators to <g|g^2>, with odd ordered-cover parity. No physical species, spin or sign selection.

Earlier related work: #1026, #1078.

CP-04: Derive common defect maintenance energy, kinetics and conserved stress

Owner: #1140. Status: IN_PROGRESS. Requires: CP-02, CP-03. Hypothesis obligations: EMH-1, EMH-3, EMH-4.

One intrinsic action/energy and kinetic response for the same defect, with reference subtraction, clock normalization and an independently justified stress/Ward identity.

Acceptance:

  • Derive rather than fit how defect maintenance changes rest energy; distinguish action, energy, entropy production, event counts and host work.
  • Extract energy and kinetic terms from one process; test moving/rest responses with a common signal speed and no species-dependent conversion.
  • Supply interaction energy accounting, reference/cutoff dependence and the stress/conservation map that gravity will consume.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: A proved inability to define a common positive physical energy/kinetic/stress dictionary in the frozen class, or a mandatory incompatibility between maintenance and propagation, is an obstruction; a scalar code cost or failed ansatz is narrower.

Retained starting evidence:

Current component progress (not gate acceptance):

  • energy_results.json: Uniform-seam maintenance-cost ansatz against the uniform background and all four transported preparation-target references, plus native cycle/modular-cost countercontrols and independent relativistic kinetic-action checks. Adjacent-pair excess movement is negative for these declared backgrounds; no arbitrary maintenance action, physical mass or stress law is excluded or derived.
  • mode_energy_results.json: Derives a positive native-current quadratic form and verifies its port/incidence theorem map. In the separately declared product-field source, independent rest-gap and moving-symbol curvature tests give a finite pulse correction approaching the mass-shell ratio one under subdivision. This does not assign that action, physical mass or gravitational stress to the history excitation.
  • sector_results.json: Exact sharp-sector exterior distances, uninterrupted odd closed-history rank-one theorem and source-executed active q=1 code; native activity excess is not physical rest energy.
  • reference_balance_results.json: Exact fixed-reference drift under bare C/E and stationary co-moving source/core measure with conserved relational charge and zero charge gradient form; no adaptive-feedback stationarity or rest-energy assignment.
  • screening_results.json: Exact sharp-sector cap minimax, optimal one-port screening for an all-seam corrected q=1 qubit, and finite native-edge first exits. Source pulse recovery for the new code and physical particle identity are not established.
  • energy_bridge_results.json: The canonical screened code has native current rate 1/6 per uniform-seam attempt. Positive conserved-sector reweightings preserve stationary dynamics and leave formal Gibbs energy contrasts free. Prior-code fixed-seam recovery pulses retain their own protocol.
  • screened_recovery_results.json: The canonical screened q=1 encoder and all 208 positive C/E recoveries are source-executed. Exact corrected composition preserves arbitrary logical/reference states with explicit core reset; pulse and archive costs are retained. Autonomous localized matter is not established.
  • transport_results.json: The same screened code has a positive rank-eleven native current covariance, but complete corrected logical transfer is identity and the core resets each attempt. Logical-state-dependent current/variance ratios prevent transfer of the earlier uniform-source wave rate. No rest gap or particle mass is identified.
  • sector_action_results.json: A Lean theorem proves stationary reweighting, conditional cancellation and zero sector-potential gradient for every positive conserved-sector factor. Exact checks bind its premises to all 4356 native source/core states; the full native kernel is checked in Python rather than encoded as a Lean value.
  • results.json: A positive local stochastic-matrix kinetic parent has 300 hopping pairs and a nonzero hard-core density interaction; record-only inference bounds its operator error. Exact modular increments and a same-reference Gibbs/affine-clock obstruction do not supply physical energy or stress.
  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • results.json: An explicit supplied isometry maps the same N=2 eta pair and dark reference to a native M2 corner. Complete compiled herald/continuation/record-clock/energy histories retain all stops and a finite unconditional error bound. Full spatial encoding and physical calibration are not established.
  • results.json: Exact local energy continuity and interaction-dependent boundary flux on the full finite field; same-action quantum Gibbs/entropy identity and regional bare-energy countercontrol. Lorentz stress, null geometry, area variation and Einstein premises are not established.
  • results.json: Faithful native coherence with reference-identical complete tape/exterior, exact contrast lifetime, zero modular-energy excess and arbitrary-code exterior/clock exclusions. Its core is immobile; no topological particle or mass is assigned.
  • results.json: Complete moving8128-state field sector driven by native record-derived rate using counted local source words; uniform ideal-word halfdiamond bound<0.038565. Supplied global Gibbs reference and rate-transfer service are explicit; native reference inheritance and physical calibration are not established.
  • acceptance_audit.py: Exact noninteger pair-gap witness excludes an eta-calibrated invariant modular intertwiner from every finite independent native reference product. Approximate generator error exceeds1/24. Correlated references and counted alternative services are outside this exclusion.
  • control.py: Exact seven-state contact-domain reduction and rational pole enclosure; the separate spectral helper sharpens only the full-field rate-error term. Full spatial histories and physical field/reference premises remain.
  • links.py: Exact CAR link covariance and Ward identities; the Feshbach norm metric joins charge-two pair transport, current and residue on one full eigenstate.
  • certificate.py: Sector/fiber energy-offset conditions, same-history zero energy and fixed-number vacuum-comparison boundary; no physical calibration.

Earlier related work: #1026, #1078.

CP-05: Transport the same defects and derive particle identity and currents

Owner: #1141. Status: IN_PROGRESS. Requires: CP-03, CP-04. Hypothesis obligations: EMH-3, EMH-2.

The same native excitations carry charges, spin/statistics, family structure, gauge-current couplings and allowed creation, fusion, annihilation and decay.

Acceptance:

  • Construct actual transport and charge conservation on the native state/process, with leakage and recovery bounds.
  • Show the physical accessible current content and matter lift, including extra modes and chirality; do not identify equivalent internal and spatial representations by name alone.
  • Distinguish stable defects, metastable/internal excitations and massless collective/transport modes; derive their observable and interaction maps on one law.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: Incompatible required charge/spin/statistics/current/transport structures exclude the covered defect realization. A 17-versus-12 response mismatch excludes its grammar, not every admissible current law.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: All 376 source-current anomaly traces classify arbitrary integer signed copies of the declared five-block matter lift. The actual fixed clock source has C2 symmetry and three distinct positive response moments; conditional invariant Yukawas retain an isolated family and zero three-family CP mixing.
  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • mobile_results.json: Exact all-code moving-core law and finite-horizon optimal reset policy, attaining one reset per 150 native attempts. All 60 encoders and complete C/E recoveries compile with full-register checks and counted errors/resources; complete source histories execute motion, forced reset and identity-holonomy exchange. Recovery remains active every attempt; no localized particle, physical energy, statistics or spin is identified.
  • links.py: Exact CAR link covariance and Ward identities; the Feshbach norm metric joins charge-two pair transport, current and residue on one full eigenstate.
  • statistics_results.json: The native collision-free two-particle path group is exactly Z/2. Its positive and negative flat lifts have complete C/E quantum instruments, an exact number-conserving CAR correspondence, and source-compiled phase readouts. The coherent controls and sign choice are explicit; physical spin, localized matter, species and mass are not identified.
  • presentation.py: Exact noncommutative Tietze replay on the original native collision-free two-complex reduces235generators and495relators to <g|g^2>, with odd ordered-cover parity. No physical species, spin or sign selection.
  • spectrum.py: Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived.
  • dictionary.py: An executable sixteen-state benchmark supplies Q=e(N-2), S=hbar*S_internal and one measured electron energy scale, giving assigned Hamiltonian-time and lattice-length units. Complete candidate electric-current/dipole response obeys continuity and charge conjugation, but the pure-gauge open bond measures no magnetic moment and its bare contact kernel is not Coulomb exchange. A separately declared four-site periodic extension checks momentum, all number sectors, particle-hole residues and free doublers. Its charged poles fail the fixed dimer-mass/bare-speed lattice-Dirac benchmark and a same-volume rest-gap variant. Finite-volume shifts and a possible renormalized velocity remain distinct: two momentum-squared values cannot validate a fitted dispersion. This rejects only that supplied finite dictionary benchmark, not an OPH continuum; physical electron/positron identity and QED remain unestablished.

Earlier related work: #1026, #1078.

CP-06: Obtain one interacting chiral 3+1 field description from native records

Owner: #1142. Status: IN_PROGRESS. Requires: CP-02, CP-04, CP-05. Hypothesis obligations: EMH-2, EMH-3.

A refining same-process observation law with a nontrivial interacting chiral 3+1-dimensional effective field description and controlled detector/intervention correspondence.

Acceptance:

  • Prove the declared continuum or effective-domain comparison for complete observable laws, with locality, quantum correlations, positivity/unitarity and controlled errors.
  • Retain every taste, chirality, dark mode and residue until a derived decoupling/removal map is supplied; obtain kinetic, Higgs and current responses jointly.
  • Keep the full photon-containing theory gapless; state separate massive thresholds, confinement observables, infrared and resonance conventions, and any pure Yang--Mills gap domain.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: A covered chirality, locality, positivity, continuum or interaction no-go stops the frozen realization class. A supplied scalar product, finite free symbol or pole list alone does not pass this gate.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: Source-compiled quartic CAR interactions produce detector-reconstructed non-Gaussian four-point response and complete feedback histories through 343 sites. Analytic ideal bounds compare the exact two-particle sector to the same fixed-spacing infinite lattice. All 8 naive Weyl nodes, supplied action and unjoined native clock remain.
  • results.json: Actual signed CAR restrictions retain local N=0,1,2, references and every history outcome; CP expectations and cube embeddings compose. Exact Hamiltonian compression does not intertwine dynamics. Fixed-spacing locality is not physical Lorentz geometry.
  • results.json: Same-action contact coupling tests complete momentum pockets, retained mirror modes and interaction leakage; exclusions apply to the declared projection at fixed lattice coupling, not every chiral regulator or continuum limit.
  • results.json: Complete moving8128-state field sector driven by native record-derived rate using counted local source words; uniform ideal-word halfdiamond bound<0.038565. Supplied global Gibbs reference and rate-transfer service are explicit; native reference inheritance and physical calibration are not established.
  • control.py: Exact seven-state contact-domain reduction and rational pole enclosure; the separate spectral helper sharpens only the full-field rate-error term. Full spatial histories and physical field/reference premises remain.
  • field.py: All-number full-Fock source construction and fixed-spacing interacting thermodynamic local dynamics with rational locality bounds; no chiral spatial-continuum or native action selection.
  • links.py: Exact CAR link covariance and Ward identities; the Feshbach norm metric joins charge-two pair transport, current and residue on one full eigenstate.
  • local_simulation.py: Overlapping CAR supports give an extensive Strang coefficient and integrated factorial locality tail. Nested backward buffers bound complete local histories with arbitrary references and exact source schedules, independently of ambient volume; initial restriction, action, readout and model clock remain supplied.
  • thermal.py: Complete source words prepare a faithful interacting Gibbs marginal on one/two sites with retained purification, all exports and a subsequent field/pointer history. All-number CAR restrictions compose and the matrix first law holds; initialization, beta/action, larger-reference preparation and geometric premises remain supplied.
  • scattering.py: The same Weyl/contact pair pole occurs in the exact complete two-fermion T matrix, with an optical identity and uniform fixed-broadening thermodynamic bounds. A separate complete source interaction echo has a rational positive signal bound. Fixed lattice spacing, model time and supplied preparations are explicit; no on-shell physical S matrix or chiral continuum is obtained.
  • spectrum.py: Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived.
  • dictionary.py: An executable sixteen-state benchmark supplies Q=e(N-2), S=hbar*S_internal and one measured electron energy scale, giving assigned Hamiltonian-time and lattice-length units. Complete candidate electric-current/dipole response obeys continuity and charge conjugation, but the pure-gauge open bond measures no magnetic moment and its bare contact kernel is not Coulomb exchange. A separately declared four-site periodic extension checks momentum, all number sectors, particle-hole residues and free doublers. Its charged poles fail the fixed dimer-mass/bare-speed lattice-Dirac benchmark and a same-volume rest-gap variant. Finite-volume shifts and a possible renormalized velocity remain distinct: two momentum-squared values cannot validate a fitted dispersion. This rejects only that supplied finite dictionary benchmark, not an OPH continuum; physical electron/positron identity and QED remain unestablished.

Earlier related work: #1026, #1078.

CP-07: Freeze the physical dictionary and derive the matched particle spectrum

Owner: #1143. Status: IN_PROGRESS. Requires: CP-06. Hypothesis obligations: EMH-3, EMH-5.

A source-selected spectrum, mixing and interaction packet in compatible physical conventions, using the same defects, energy, kinetics and observer clocks.

Acceptance:

  • Bind source/law/decoder revisions, empirical ancestry, matching scheme and scale, all inputs, covariance, theory uncertainty and trial count before the eligible comparison.
  • Derive the charged benchmark of nine running Yukawas and four CKM parameters together; specify neutrino and unstable/confined-sector obligations without calling charged-sector closure complete.
  • Test reference, regulator and volume dependence and common physical units; retain calibration controls and all failed mechanisms without assembling a spectrum from separate benchmarks.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: A wrong unavoidable matched spectrum with an independently justified error budget rejects the fixed candidate, and the whole class only if all permitted nuisance/source choices are excluded. Known-data calibration alone is not independent validation.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • spectrum.py: Complete all-number Lehmann measures and source Ramsey readout distinguish a faithful thermal reference from a supplied pure half-filled ground. Exact dimer maps identify charge-one particle/hole doublets and charge-two singlets with nonzero residues, parity and internal spin; physical species, Lorentz spin, topological defects and absolute masses are not derived.
  • scattering.py: The same Weyl/contact pair pole occurs in the exact complete two-fermion T matrix, with an optical identity and uniform fixed-broadening thermodynamic bounds. A separate complete source interaction echo has a rational positive signal bound. Fixed lattice spacing, model time and supplied preparations are explicit; no on-shell physical S matrix or chiral continuum is obtained.
  • compare.py: Exact current-source dimer spectroscopy excludes all 672 common-scale/common-chemical-potential three-lepton assignments to the declared broad ratio windows. A conditional electron-like/positron-like pair has equal gaps after one supplied electron calibration, with zero independently predicted absolute masses. The actual CODATA/ACT replay is retrospective and adds zero eligible CP11 comparisons.
  • dictionary.py: An executable sixteen-state benchmark supplies Q=e(N-2), S=hbar*S_internal and one measured electron energy scale, giving assigned Hamiltonian-time and lattice-length units. Complete candidate electric-current/dipole response obeys continuity and charge conjugation, but the pure-gauge open bond measures no magnetic moment and its bare contact kernel is not Coulomb exchange. A separately declared four-site periodic extension checks momentum, all number sectors, particle-hole residues and free doublers. Its charged poles fail the fixed dimer-mass/bare-speed lattice-Dirac benchmark and a same-volume rest-gap variant. Finite-volume shifts and a possible renormalized velocity remain distinct: two momentum-squared values cannot validate a fitted dispersion. This rejects only that supplied finite dictionary benchmark, not an OPH continuum; physical electron/positron identity and QED remain unestablished.

Earlier related work: #1026, #1025.

CP-08: Construct responsive geometry and causal clocks on the same source

Owner: #1144. Status: IN_PROGRESS. Requires: CP-02, CP-04. Hypothesis obligations: EMH-4.

A common source-derived effective event, causal and geometry dictionary that responds to the same matter/energy perturbations and admits the required refinement.

Acceptance:

  • Construct the effective Lorentzian domain, compatible observer directions, local clock comparisons and count/volume/length maps with controlled errors.
  • Derive geometry response to admitted matter changes rather than supplying a static metric or an independent fitted gravitational source.
  • Retain the static radial-product null-balance failure and distinguish finite rank-three carrier geometry from physical 3+1 event geometry.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: A mandatory incompatibility between source geometry, clocks and nonzero matter stress excludes the covered common realization. Failure of the static radial product is a scoped control, not a universal gravity no-go.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: Actual signed CAR restrictions retain local N=0,1,2, references and every history outcome; CP expectations and cube embeddings compose. Exact Hamiltonian compression does not intertwine dynamics. Fixed-spacing locality is not physical Lorentz geometry.
  • construction.py: Exact rational strong chain deformation retracts on the actual12/42/162/642-vertex supports compose and intertwine all60proper actions. Rational chain maps are not vertex selectors, physical geometry or quantum channels.
  • local_simulation.py: Overlapping CAR supports give an extensive Strang coefficient and integrated factorial locality tail. Nested backward buffers bound complete local histories with arbitrary references and exact source schedules, independently of ambient volume; initial restriction, action, readout and model clock remain supplied.

Earlier related work: #1026, #1078.

CP-09: Realize the joint modular, stress and entropy premises G1--G6

Owner: #1145. Status: IN_PROGRESS. Requires: CP-06, CP-08. Hypothesis obligations: EMH-4.

A premise-by-premise same-tower witness for geometric modular flow, common conserved stress, entropy/area normalization and fixed-proper-volume generalized-entropy stationarity.

Acceptance:

  • Bind G1--G6 to the actual common state, law, algebras, geometry, matter stress, observer clocks and refinement maps.
  • Derive the edge-center entropy split, modular first law, positive Newton normalization and geometric/state variation with controlled small-ball remainders and enough directions.
  • Show the relevant joint stationarity, beyond a stationary Markov law, Gibbs reference or conditional Shannon entropy; retain native entropy and bare-area negative controls.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: Prove that a necessary entropy sign, modular/stress normalization or stationarity variation is incompatible across all allowed same-process realizations before promoting a no-go. An unmet theorem premise is an open gate, not a theorem failure.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: Exact local energy continuity and interaction-dependent boundary flux on the full finite field; same-action quantum Gibbs/entropy identity and regional bare-energy countercontrol. Lorentz stress, null geometry, area variation and Einstein premises are not established.
  • retraction.py: Exact faithful regional retraction criterion and 117/16 boundary witness; ordinary restrictions and reduced clocks remain valid.
  • observation.py: Common-reference UCP Petz-transpose observations with exact nested tower; neither local retraction nor modular covariance is assumed.
  • thermal.py: Complete source words prepare a faithful interacting Gibbs marginal on one/two sites with retained purification, all exports and a subsequent field/pointer history. All-number CAR restrictions compose and the matrix first law holds; initialization, beta/action, larger-reference preparation and geometric premises remain supplied.

Earlier related work: #1026, #1078.

CP-10: Compose the realized Einstein response with matter and clock readouts

Owner: #1146. Status: OPEN. Requires: CP-09. Hypothesis obligations: EMH-4.

A common matter/geometry model that actually instantiates null balance and tensor completion and predicts its coupled coarse-scale gravitational response.

Acceptance:

  • Apply the existing conditional Einstein theorem with a checked map for every premise; do not replace the missing realization by reproving the tensor identity.
  • Obtain the Einstein equation up to its cosmological term, one positive Newton constant and universal coupling of the same defect maintenance energy/stress.
  • Propagate finite/refinement errors into gravitational observations. Keep a possible quantum spin-two graviton separate from the classical theorem and Standard Model content.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: A genuine counterexample satisfying every theorem premise refutes the affected implication. A necessary failure of joint gravitational response can exclude the frozen program only with CP-12 coverage of the admissible class.

Retained starting evidence:

Earlier related work: #1026, #1078.

CP-11: Run joint independent physical tests and decide the completion milestone

Owner: #1147. Status: OPEN. Requires: CP-07, CP-10. Hypothesis obligations: EMH-5.

One frozen physical dictionary survives independent field, particle and gravity observations over its declared regime, or receives a scoped rejection.

Acceptance:

  • Compare complete joint/conditional laws and intervention responses, not an aggregate of separate fitted observables; preserve all calibration and exposure ancestry.
  • Use predeclared rejection rules, eligible data, nuisance ranges, covariance and physical theory errors; report discrepancies and distinguishing alternatives.
  • State exactly which completion obligations are met and which broader cosmological, quantum-gravity or internal-closure obligations remain. No simulated output counts as a new physical confirmation.
  • Prove every theorem premise assigned to this gate on the actual model and retained domain; bind the state, algebra, operations, clock and refinement maps in the existing premise ledger before invoking the conclusion.

Obstruction/stopping test: Reject the fixed formulation when its unavoidable prediction fails a valid frozen comparison. A whole-class empirical exclusion requires every admitted realization/nuisance choice to fail; a resource stop is a separate research decision.

Retained starting evidence:

Current component progress (not gate acceptance):

  • compare.py: Exact current-source dimer spectroscopy excludes all 672 common-scale/common-chemical-potential three-lepton assignments to the declared broad ratio windows. A conditional electron-like/positron-like pair has equal gaps after one supplied electron calibration, with zero independently predicted absolute masses. The actual CODATA/ACT replay is retrospective and adds zero eligible CP11 comparisons.
  • dictionary.py: An executable sixteen-state benchmark supplies Q=e(N-2), S=hbar*S_internal and one measured electron energy scale, giving assigned Hamiltonian-time and lattice-length units. Complete candidate electric-current/dipole response obeys continuity and charge conjugation, but the pure-gauge open bond measures no magnetic moment and its bare contact kernel is not Coulomb exchange. A separately declared four-site periodic extension checks momentum, all number sectors, particle-hole residues and free doublers. Its charged poles fail the fixed dimer-mass/bare-speed lattice-Dirac benchmark and a same-volume rest-gap variant. Finite-volume shifts and a possible renormalized velocity remain distinct: two momentum-squared values cannot validate a fitted dispersion. This rejects only that supplied finite dictionary benchmark, not an OPH continuum; physical electron/positron identity and QED remain unestablished.

Earlier related work: #1025, #1078.

CP-12: Audit obstructions and apply candidate, class and program stopping rules

Owner: #1148. Status: IN_PROGRESS. Requires: CP-00. Hypothesis obligations: EMH-1, EMH-2, EMH-3, EMH-4, EMH-5.

A continuing obstruction review across every gate, with exact scope, class coverage, independent checks and an explicit stop/continue verdict. The broad obstruction search #1078 is not established and owns that continuing research; this gate applies its scoped evidence to the new program decisions.

Acceptance:

  • For every exclusion record target version, mandatory premises, quantified class, evidence, independently checked coverage, surviving escape routes and consequence.
  • Promote to whole-program falsification only for a verified contradiction in indispensable premises, a proof excluding every frozen realization of a required join, or an unavoidable independently excluded prediction.
  • Keep mathematical theorem error, candidate failure, class no-go, empirical rejection, inconclusive search and budget/value stop distinct. Changing the class starts a new program version and retains the original verdict.
  • Run in parallel once CP-00 is fixed; reject circular mappings, hidden supplied services and combinations of incompatible benchmark branches throughout the DAG.

Obstruction/stopping test: The current program has no universal falsification verdict. No-go coverage must quantify over the frozen class; a finite unsuccessful search, open map or exhausted budget supplies no impossibility proof.

Retained starting evidence:

Current component progress (not gate acceptance):

  • results.json: One supplied Weyl/contact action has an isolated moving charge-two pair band, complete physical spectral records and exact curvature bounds. Its band is topologically trivial; the same-speed relativistic mass relation fails. No native topological particle or physical mass is identified.
  • results.json: Exact local energy continuity and interaction-dependent boundary flux on the full finite field; same-action quantum Gibbs/entropy identity and regional bare-energy countercontrol. Lorentz stress, null geometry, area variation and Einstein premises are not established.
  • results.json: Same-action contact coupling tests complete momentum pockets, retained mirror modes and interaction leakage; exclusions apply to the declared projection at fixed lattice coupling, not every chiral regulator or continuum limit.
  • results.json: Bounded reset and source-interface progress under the stated endpoint-biased code process, distinguished from the reviewed fair-coin mobile-memory construction. Active quantum transport is not a native topological particle or a clock-compatible field encoding.

Earlier related work: #1078, #1033.

Working organization

Issues #1025, #1026, #1076 and #1077 are superseded by the new completion owners and closed as not planned, not as scientifically completed. Their evidence and unfinished contracts remain linked. The ongoing audit #1033 and broad obstruction search #1078 stay open. Live observer code, tests and retained results stay in model/; the existing particle code and theorem library keep their scientific ownership. Do not move or rewrite frozen packets to make the navigation look simpler.

New work identifies its CP gate, fixed contract, nearest existing result, actual model/theorem map, falsifier and preservation checks. Prefer the smallest exact counterexample or native witness before larger runs. A supplied benchmark is evidence only for its stated conditional task. Each accepted gate needs a retained, source-bound result and the explicit join to its accepted predecessors.

The generated postdiction ledger carries the hypothesis and program custody without adding a physical comparison. The falsification program retains its claim/branch-specific rejection rules and the stronger scope required for whole-program decisions.