IndisputableMonolith.Gravity.SevenGaps.Gap5ConstraintCloseStatusAudit
Audit layer for the Gap 5 constraint-recovery close receipt in the seven-gaps gravity campaign. It sits one import above the binding status module so ledger Bool flips cannot cycle, and records that constraint recovery is marked closed while the continuum-algebra HKT and residual-DAG rigidity flags are marked not open. Gravity ledger maintainers cite it when checking Wave C5 closure without reopening FullTheoryLedger.
claimModule-level audit of Gap 5 constraint-recovery closure: the full-theory benchmark flag for constraint recovery is $true$, the seven-gaps campaign flag that continuum-algebra HKT remains open is $false$, and the residual-DAG flag that HKT rigidity remains open is $false$.
background
Recognition Science gravity work tracks seven named gaps between the discrete recognition ledger and continuum GR-like structure. Gap 5 concerns constraint recovery: whether the continuum constraint algebra (Hamiltonian and momentum constraints, in the spirit of an HKT-type rigidity statement) closes consistently once the discrete side is fixed.
The upstream module Gap5ConstraintCloseStatus is the Wave C5 binding receipt. Its doc states it is downstream of FullTheoryLedger and both named closers so a ledger Bool flip cannot create an import cycle, and that binding theorems tie three flags: gap5 constraint recovery true, continuum-algebra HKT open false, and residual-DAG HKT rigidity open false.
This audit module imports only that status module. It does not restate the physics derivation of the constraints; it packages a read-only check surface for campaign and ledger consumers.
proof idea
Definition and status-audit module, not a derivation of new physics. Structure is a thin import of the Gap 5 constraint-close status receipt, then audit-facing bindings or re-exports that assert the three coordinated Bool equalities (recovery closed; continuum HKT not open; residual-DAG rigidity not open). No independent tactic proof of continuum constraint algebra; the argument is organizational: keep ledger flips acyclic and make Wave C5 closure queryable.
why it matters in Recognition Science
In the seven-gaps gravity campaign, Gap 5 is the constraint-recovery gate between discrete recognition dynamics and continuum constraint structure. Closing it (and recording that close without import cycles) is required before full-theory benchmark suites can honestly report gap5 constraint recovery as done.
Parent consumers are ledger and campaign status surfaces that read the three bound flags named upstream. This audit module does not itself appear in a large used-by fan-out in the supplied graph; its role is hygiene: a stable place to confirm Wave C5 receipt state after the named closers fire.
Relative to the broader RS forcing chain, this is gravity-side campaign infrastructure rather than a T0–T8 landmark proof. It still matters: without a cycle-safe close receipt, continuum constraint claims and residual-DAG rigidity claims can drift relative to the full-theory Bool ledger.
scope and limits
- Does not prove continuum Hamiltonian or momentum constraint algebra from first principles.
- Does not derive HKT rigidity; only audits that the open-flag is false.
- Does not close Gaps 1–4 or 6–7 of the seven-gaps campaign.
- Does not modify FullTheoryLedger; it only reads the Wave C5 binding receipt.
- Does not supply observational GR tests or post-Newtonian numerics.