Inverse-Scale Dini–Morrey Closure of the Absolute Vorticity Flux in Three Dimensions

This paper identifies a full-profile repair for the finite-detection obstruction to absolute vorticity-flux estimates. For vorticity on R^3, let q(x,r) be r^(-1) times its absolute mass in a ball, Q(r) the supremum over centres, and Theta the critical Morrey density. The centred inverse-scale profile D_c is the supremum over centres of the integral of q(x,r) dr/r^2; the global envelope D is the integral of Q(r) dr/r^2. The centred profile is half the absolute Riesz–Stummel potential and satisfies D_c≤D. Layer cake and Biot–Savart give ||u||_infinity≤D_c/(2 pi) and an absolute antisymmetric-flux Morrey bound Theta D_c/(sqrt(2) pi), using the Frobenius tensor norm. The global envelope is equivalent, with explicit constants, to the dyadic sum of 2^(-k)Q(2^k). On the anchored concentrating family of the companion obstruction, D grows linearly with the concentration parameter, whereas the scale-invariant integral of Q(r) dr/r remains bounded and still fails to control the flux. The envelope closes a quadratic Abel–Volterra inequality, yielding the explicit factor-two time pi^3 nu/(64 D(omega_0)^2) along an existing classical solution. At the critical temporal endpoint, the Abel operator maps L^(2,1) to L^infinity with constant one and is unbounded on every L^(2,q) with q>1. A small scaling-invariant L_t^(2,1) budget for D_c propagates the companion Morrey trigger with an explicit absorption margin. The contribution is the obstruction/profile repair pair, its explicit constants and packet calibration, and its insertion into the companion persistence mechanism. No new Riesz-potential or Serrin theorem, minimality claim, global initial-data theorem, or finite-time blowup conclusion is asserted.