← NS-X72 / X72-35 · Cancellation-Replenishment Closure

NS-X72 · X72-35 NO-GO 2026-08

X72-35: Cancellation-Replenishment Closure

Picks up Round 34's proof that sustained cancellation needs minority-sign replenishment (STOP-C38), and audits the two supply lines feeding the determinant's net-positive branch — viscous interface dissipation -ν∫_{d<0}𝒢_det and the cofactor–pressure coupling -∫_{d<0}cof S:H_p — splitting the pressure into isotropic/anisotropic cofactor coherence and folding the tensor-diffusion curvature back into the higher-gradient budget. Proves that neither supply line is a free resource: viscous interface dissipation cannot absorb the global curvature in general (universal Kato absorption is false), and the anisotropic pressure supply needs quartic amplitude and signed tensor coherence to sustain phase locking. STOP-C39 (Replenishment-Closure/Cofactor–Pressure Coherence Gap) hands the problem to the next round's cofactor–pressure coherence dynamics.

This round's status: NO-GO — 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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