← NS-INRS / 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.
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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