- Canonical-lane claim: inside the
manifold_constrainedlane, 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.
EG1: coercive response and active control floor.EG2: capture and admissible continuation.EG3: compactness and no-collapse spacing.EG4: rigidity and transfer.- Identification bridge: strict coherence on the determining class.
- Scalar closure:
SQP_G1, SQP_G2, SQP_G3, SQP_G4, SQP_G5, SQP_G6, SQP_GMallPASS.
Primary files:
paper/N_SQUARED_PLUS_ONE_PRIMES_PREPRINT.mdnotes/EG1_public.mdnotes/EG2_public.mdnotes/EG3_public.mdnotes/EG4_public.mdnotes/IDENTIFICATION_BRIDGE.md
| 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 |
repro/certificate_runtime.jsonhas any non-PASSgate.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.