IndisputableMonolith.Gravity.SevenGaps.HKTDynamicTargetAudit
Audit module for the widened HKT gravity target that carries an explicit dynamic structure function rather than a frozen unit profile. It records the Codex adjudication that folding the structure factor into momentum density and treating a constant profile as GR is invalid, and that the original rigidity claim fails at n=1. Gravity workers cite it when checking what the dynamic HKT target actually asserts before any rigidity proof. No hard theorems live here; the module only organizes and flags the definitional groundwork.
claimAudit surface for the dynamic HKT target: a widened statement in which the structure function $S$ is an explicit non-constant slot (not absorbed into momentum density), together with the observation that the original frozen-unit HKT rigidity claim is false at $n=1$, while the dynamic rigidity statement is only defined, neither proved nor assumed.
background
Recognition Science gravity work in the SevenGaps line treats HKT-style targets as candidate rigidity statements for galactic or continuum structure. The upstream definition module widens the target for Wave C2 R5/R6: instead of a frozen unit structure sold as GR, the target carries an explicit structure-function slot with a non-constancy side condition.
Codex adjudication rejected folding the structure factor $g$ into momentum density. That move would hide dynamics and mislabel a constant profile as general-relativistic structure. The dynamic target therefore keeps structure separate and marks non-constancy in the statement itself.
The original (non-dynamic) rigidity statement is recorded as false as stated at $n=1$. The dynamic rigidity statement is present only as a defined proposition: neither a theorem nor an ambient hypothesis.
proof idea
This is a definition and audit module, not a proof module. It imports the widened HKT dynamic target, surfaces the structure-function slot and the non-constancy flag, and records the adjudication notes (rejection of folding structure into momentum density; failure of the original rigidity claim at $n=1$). No hard lemmas are proved here; the dynamic rigidity proposition remains defined only.
why it matters in Recognition Science
Sits in the Gravity / SevenGaps chain as the audit layer over Wave C2 R5/R6 groundwork. Downstream rigidity or continuum arguments that might cite a dynamic HKT target need a clear record of what was rejected (frozen unit structure as GR, structure folded into momentum density) and what remains open (the dynamic rigidity statement is defined, not proved). No parent theorems currently depend on this module; its role is gatekeeping definitional honesty before any forcing or uniqueness claim in the HKT gravity line is attempted.
scope and limits
- Does not prove the dynamic HKT rigidity statement.
- Does not assume dynamic rigidity as a hypothesis.
- Does not restore or repair the original frozen-unit rigidity claim at n=1.
- Does not derive GR, mass formulas, or phi-ladder constants.
- Does not supply numerical galactic fits or observational bounds.