← NS-X72 / 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.
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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