For vorticity on R^3, the critical L^1-Morrey density is the supremum of r^(-1) times the absolute vorticity mass in a ball of radius r. At a threshold between zero and one, its detection radii mark where the radial profile reaches that fraction of the density. This paper proves that no prescribed finite collection of such detection scales closes the absolute Morrey norm of the antisymmetric Navier–Stokes vorticity flux. For any finite threshold list and every positive density epsilon, a smooth compactly supported divergence-free family has density exactly epsilon, every selected active-radius set exactly fixed, and velocity converging strongly in L^2 to a nonzero anchor, while the absolute flux norm diverges at least linearly with the concentration parameter. The construction adds a far-separated concentrating packet whose density lies below every recorded threshold. Consequently, no locally bounded pointwise flux estimate can depend only on viscosity, kinetic energy, critical density, and finitely many lower and upper detection radii. Separately, the Abel operator with kernel (t-s)^(-1/2) is unbounded from L^2 in time to L^infinity in time, although the elementary Holder estimate holds for every exponent p>2. These conclusions delimit a particular absolute-value proof method. They do not construct a singular solution or obstruct small-Morrey mild-solution theory, cancellation, alignment, filament geometry, or a full multiscale profile.
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Suvajit Das (2026) studied this question.