← NS-X72 / X72-34 · Cancellation-Budget Dynamics

NS-X72 · X72-34 Continuation 2026-08

X72-34: Cancellation-Budget Dynamics

Picks up Round 33's accounting framework that splits signed sources into net, total variation, and cancellation coefficient (STOP-C37), and studies the evolution of the cancellation reserve itself. Proves that diffusion only erodes the reserve (the Kato Equal-Removal Law), so sustained cancellation must be continually replenished from the minority-sign side. For determinant sources, the nonnegative vorticity-stretching term in the net-positive dangerous branch likewise drains the negative reserve, and genuine replenishment can only come from the pressure and tensor-diffusion curvature channels; for the renormalized pair source, replenishment comes from the source's second-order difference and the transport commutator. STOP-C38 (Cancellation-Reserve/Sign-Selective Replenishment Gap) hands to the next round the task of auditing whether these replenishment channels are free resources.

This round's status: Continuation — 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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