← NS-X72 / X72-37 · Pressure-Response Defect Energy
Picks up Round 36's proof that cofactor–pressure replenishment coherence has no universal dephasing, and that affine strain can achieve a perfect response H_p^0=-C_S^0 (STOP-C40). This round defines the affine-response defect E_p=H_p^0+C_S^0, and derives its exact PDE and the (moving-domain) defect-energy budget. Proves that the local strain coupling in the defect equation is not coercive: the pure-strain self-forcing and the explicit determinant source cancel exactly in defect coordinates, and the genuine remaining forcing consists of three terms — vorticity, gradient terms, and the transport–Riesz commutator. Critical control comes down to S∈L_t²L_x³; STOP-C41 (Affine-Response Defect/Critical Commutator–Gradient Gap) hands the remaining nonlocal forcing to the next round's analysis of transport–Riesz commutator depletion.
Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.
Loading…