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IndisputableMonolith.Gravity.SevenGaps.HKTPointSplitStrongAudit

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Audit shell for the strengthened point-split HKT target after the weak dynamical class was shown decoy-inhabitable. It sits on the Wave C2 repair that replaces the zero-momentum quartic loophole with a load-bearing momentum and advection-tied strong target. Gravity workers checking SevenGaps closure cite it to confirm the strong target is the grind surface, not the discarded weak class. Structure is import-and-audit only: no new theorems live here.

claimModule auditing the strengthened point-split HKT dynamical target $T^{\mathrm{strong}}_{\mathrm{HKT}}$ (load-bearing momentum, advection-tied), excluding the decoy-inhabitable weak class that admitted a quartic zero-momentum solution.

background

Recognition Science gravity work in the SevenGaps stack isolates discrete gaps between the derived continuum limit and the full ledger dynamics. One such gap is the point-split HKT (Hamilton–Killing–type) target used to force rigidity of the gravitational sector.

An adversarial pass showed the earlier dynamical target was decoy-inhabitable: a quartic zero-momentum configuration satisfied it without carrying physical momentum. Rigidity statements over that weak class were therefore not load-bearing. The upstream module HKTPointSplitStrong repairs this by landing a strong target with load-bearing momentum and advection tied to the physical flow.

This audit module imports that repair and records the adjudication surface: which target is the grind object, and that the weak class is retired.

proof idea

Definition and audit module, not a proof module. It imports the strengthened point-split HKT target module and exposes the post-adjudication surface (strong target in, weak decoy class out). No local lemmas or tactic scripts; argument structure lives entirely upstream in the strong-target construction.

why it matters in Recognition Science

Keeps the SevenGaps gravity chain honest after the D-qg-hkt-pointsplit adjudication: grind effort must hit the strong, momentum-bearing point-split HKT target, not the decoy-inhabitable weak class. Downstream used_by is empty here; the module is a checkpoint on the Wave C2 repair path rather than a lemma feeder. In the broader RS gravity program it protects any later rigidity or continuum-closure claims that quote the point-split HKT condition, so they cannot silently rest on the retired weak formulation.

scope and limits

depends on (1)

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