← NS-INRS / DCRP55 · Multipole Compensation, Rank Lift, and Tail Escape
Building on the far-field formula for localization leakage that DCRP54 derived, and drawing on the DSS exponent window and annular-supplier results of DCRP30, DCRP31, and DCRP35, this round asks whether a finite exterior vorticity-stress carrier can transparently compensate for that leakage. It proves that canceling the leading r⁻³ term in every direction is equivalent to requiring M^in+M^out=cI — that is, the exterior carrier must isotropize the accumulated vorticity dyadic moment. But M^out is positive semidefinite while M^in is degenerate in the normal direction, so a finite in-plane compensation is impossible: any effective compensation must lift the normal-direction vorticity to at least half of the internal core's. STOP-D55 splits the problem into two as-yet-unclosed routes — a finite rank-lift ring, or an infinite-vorticity (non-L²) critical tail — handed to DCRP56 to pursue separately.
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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