← NS-INRS / DCRP54 · Localized X72 Visibility Defect and Shell Leakage

NS-INRS · DCRP54 Leakage Proof 2026-08

DCRP54: Localized X72 Visibility Defect and Shell Leakage

Building on DCRP53's proof of the null-envelope block identity T₀*W_Ω=(1/3)|Ω|² and its conclusion that such blocks cannot fill an entire spatial slice and must undergo a finite structural transition, this round asks what happens if the internal stress is localized before that transition occurs. It proves that any nonzero compact localization necessarily produces a source term on the truncation shell — since divdiv(Ω⊗Ω)=0 inside the block, the source comes entirely from the localization itself — whose quadrupole moment exactly reproduces the internal vorticity dyadic mass, with the Riesz field leaking along the normal direction at rate r⁻³. Hence no compactly supported nonzero vorticity-stress fragment can be fully transparent to the localized Piola–vorticity law. STOP-D54 hands to DCRP55 the question of whether a finite exterior multipole compensation can cancel this r⁻³ leakage.

This round's status: Leakage Proof — Taken from the file's own Executive result / STOP node, meaning preserved, not a full verbatim translation. The original paper itself was authored directly in English; only this page's own commentary (title, status, and summary) is translated here.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

Loading…