IndisputableMonolith.Gravity.SevenGaps.HKTKineticNormalizedRigidityAudit
Audit shell for the gap-5 HKT kinetic-normalized rigidity terminal: it re-exports and checks the Wave C4/C5 package that kills mod-vacuum rigidity and installs the kinetic-normalized canonical momentum field. Gravity and QG auditors cite it when tracing the D-qg-hkt-modvacuum and D-gap5-acceptance bindings. Structure is import-and-audit only; mathematical content lives in the imported rigidity module.
claimAudit module for the gap-5 terminal: (i) $\neg$ of the $N=2$ HKT mod-vacuum rigidity statement, witnessed by a variable-kinetic canonical momentum; (ii) the kinetic-normalized canonical momentum intensivity field, with FTC recovery obtained as a derived theorem rather than an axiom.
background
Recognition Science gravity work tracks seven named gaps. Gap 5 concerns HKT-style rigidity claims under mod-vacuum and kinetic normalizations. The imported module is the Wave C4/C5 terminal for that gap, bound to the Codex cross-family verdict D-qg-hkt-modvacuum-verdict-20260723 and the C5 upgrade D-gap5-acceptance-adjudication-20260723.
Part 1 of the upstream package refutes the $N=2$ mod-vacuum rigidity statement by exhibiting a variable-kinetic canonical-momentum inhabitant. Part 2 introduces the kinetic-normalized canonical momentum as an intensivity field and proves FTC recovery (ftc_recovery_of_normalized) as a theorem, not an assumption. This audit module sits one layer above that package and does not redefine those objects.
proof idea
Definition and audit module, not a proof module. It imports HKTKineticNormalizedRigidity and exposes the gap-5 terminal for review: the mod-vacuum kill (negation via variable-kinetic witness) and the kinetic-normalized rigidity surface with theorem-derived FTC recovery. No independent lemmas are proved here; argument structure is entirely upstream.
why it matters in Recognition Science
Closes the audit path for SevenGaps gap 5 in the gravity domain. Downstream consumers of the HKT mod-vacuum verdict and the kinetic-normalized rigidity terminal can point at this module as the checked surface for Wave C4/C5. It records that FTC recovery is theorem-derived, which matters for any later claim that treats normalized canonical momentum as an intensivity field rather than an extra postulate. No further used-by edges are recorded yet; the module is a terminal audit node for the gap-5 acceptance adjudication.
scope and limits
- Does not prove the mod-vacuum negation or FTC recovery; those live in the imported rigidity module.
- Does not address the other six SevenGaps items outside gap 5.
- Does not claim a full QG unification; only the HKT kinetic-normalized rigidity terminal.
- Does not supply numerical gravity fits or observational constraints.