Navier–Stokes Regularity Program (Vol. XI): Morrey Interface Threshold and Kernel Estimates (Near/Far Field Control)

Problem: Analytical module in a 3D Navier–Stokes regularity program that isolates the Morrey-calibrated interface mechanism and near/far-field kernel control for vortex stretching. Main result: (i) Morrey control implies a sharp far-field vortex-stretching kernel bound; (ii) Hölder coherence on the thickened interface yields SACO depletion with an explicit absorption constant κ < 1; (iii) a Carleson-type dissipation budget implies coherence with exponent β = δ/2; (iv) localized enstrophy inequalities reduce interface dissipation control to the stretching term plus boundary contributions.How to verify: See the statements and proofs in the main paper and the attached technical supplement; theorem numbering is consistent across the two files. Main paper + technical supplement (complete proofs). WHAT THIS WORK DOES NOT CLAIMThis volume alone does not prove global regularity of 3D Navier–Stokes; it provides a self-contained analytical module intended to be used within the broader closure chain of the program.