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Reviewer Map

Claim Scope

  • Canonical-lane claim: inside the manifold_constrained lane, if the theorem chain in this repository holds and the guard certificate passes, the repository-level closure claim is satisfied.
  • Standard target claim: carried by the in-repo bridge theorems tying the lane to the target statement.

Theorem Dependency Chain

  1. EG1: coercive response and active control floor.
  2. EG2: capture and admissible continuation.
  3. EG3: compactness and no-collapse spacing.
  4. EG4: rigidity and transfer.
  5. Identification bridge: strict coherence on the determining class.
  6. Scalar closure: SQP_G1, SQP_G2, SQP_G3, SQP_G4, SQP_G5, SQP_G6, SQP_GM all PASS.

Primary files:

  • paper/N_SQUARED_PLUS_ONE_PRIMES_PREPRINT.md
  • notes/EG1_public.md
  • notes/EG2_public.md
  • notes/EG3_public.md
  • notes/EG4_public.md
  • notes/IDENTIFICATION_BRIDGE.md

Closure Gates

Gate Constant Description
SQP_G1 kappa_polynomial projected polynomial response has a strict positive floor
SQP_G2 sigma_distribution distribution defect stays above capture floor across admissible congruence losses
SQP_G3 kappa_compact normalized near-failure families are precompact and congruence windows do not collapse
SQP_G4 rho_rigidity bad local obstruction models are excluded
SQP_G5 prime_value_transfer rigid limit transfers to the prime-value endpoint class
SQP_G6 eps_coh strict coherence / identification closure
SQP_GM derived final strict margin

Falsification Conditions

  • repro/certificate_runtime.json has any non-PASS gate.
  • lane.active_lane != "manifold_constrained".
  • all_pass != true.
  • Any manifest hash mismatch under repro/repro_manifest.json.
  • A certified counterexample to any EG theorem statement used in the paper.