← NS-X72 / X72-36 · Cofactor–Pressure Coherence Dynamics

NS-X72 · X72-36 Counterexample 2026-08

X72-36: Cofactor–Pressure Coherence Dynamics

Picks up Round 35's compression of the anisotropic pressure supply into the cofactor–pressure coherence ρ_p⁻ (STOP-C39), and derives the exact material-derivative equations for the trace-free cofactor tensor and the anisotropic pressure Hessian on a moving sign-domain, testing whether the replenishment coherence must necessarily dephase. Constructs an explicit witness from the static affine strain u=S_0x, p=-½x^⊤S_0²x, obtaining H_p^0=-C_S^0 and ρ_p⁻=1 — directly refuting "universal dephasing": perfect local affine locking can indeed occur. The real obstruction therefore does not lie in automatic phase decay, but in the spacetime control of the pressure-response commutator, the moving sign boundary, and the relative dynamics between them. STOP-C40 (Cofactor–Pressure Lock/Moving-Domain Commutator Gap) is handed to the next round.

This round's status: Counterexample — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

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