IndisputableMonolith.Gravity.SevenGaps.HKTDynamicTargetAudit
Audit layer over the widened HKT rigidity target that keeps an explicit non-constant structure function rather than a frozen unit profile. It records the adjudication that the original rigidity claim fails at n=1 and that the dynamic statement is only defined, not proved. Gravity workers in the SevenGaps program cite it to separate definitional groundwork from theorems. No hard proofs; pure bookkeeping of the dynamic target.
claimAudit of the widened HKT rigidity target: a dynamic structure function $S$ is an explicit non-constant slot; the dynamic rigidity statement is defined (neither proved nor assumed), and the original rigidity claim is false as stated at $n=1$.
background
SevenGaps gravity work isolates several missing bridges between Recognition-native kinematics and continuum GR. One of them is an HKT-style rigidity claim. The upstream definition module widens the target so that a structure function sits in its own slot and is required to be non-constant, rather than folding geometry into momentum density and treating a frozen unit profile as GR.
Codex adjudication rejected that frozen-unit shortcut. The dynamic rigidity statement is therefore only a defined proposition: it is neither assumed as a hypothesis nor discharged as a theorem. The original (non-dynamic) rigidity statement is recorded as false at $n=1$.
This audit module sits one import above that definition layer. It does not add new physics content; it freezes the status of the widened target for later Wave C2 R5/R6 work.
proof idea
This is a definition and audit module, not a proof module. It imports the widened HKT dynamic target, records that the dynamic rigidity statement is defined only, and notes the failure of the original rigidity claim at $n=1$. No lemmas are proved here.
why it matters in Recognition Science
In the Recognition gravity stack, HKT-style rigidity is part of the SevenGaps bridge work (Wave C2 R5/R6 groundwork). Keeping an explicit non-constant structure function prevents a false identification of frozen unit structure with GR. The module currently has no downstream theorem consumers; its role is to lock the definitional status so later rigidity or rotation-curve arguments cannot silently strengthen the claim. It does not itself touch T5--T8, the RCL, or the mass ladder; it only polices a gravity-side target shape.
scope and limits
- Does not prove the dynamic HKT rigidity statement.
- Does not assume dynamic rigidity as a hypothesis interface.
- Does not repair or replace the original rigidity claim at n=1.
- Does not derive continuum GR or rotation-curve phenomenology.
- Does not feed any recorded downstream theorem yet.