← NS-INRS / DCRP90/X72R73 · Finite-Time Tail-Transport Infeasibility Theorem

NS-INRS · DCRP90/X72R73 NO-GO 2026-08

DCRP90/X72R73: Finite-Time Tail-Transport Infeasibility Theorem

Continuing from the sole tame tail survivor left by DCRP89 — the linear-speed supplier conveyor S_tail^lin — this round tests whether it is compatible with the finite ancestry-depth dynamics of DCRP88, drawing on the far-field amplification of DCRP21, the PFET of DCRP31, the time-sliced Morrey law of DCRP71, and the increment/trace/scale compilers of DCRP82–85. It proves Theorem D90.8 (finite-time material tail-transport NO-GO): if a material loop arc reaches radius R and returns to the compact core within a uniform upper bound T*=N*S0, the self-similar rheological-parameter formula forces it to pay O(R) of speed action. Splitting this at a fixed filter scale: if the filtering error carries this action, it forces an O(R⁴) increment trace (an already-known defect); if it is instead carried by the filtered velocity, then on a bounded-stretch/tame world-sheet it must pay O(R²) of volumetric tube energy — but the native time-sliced Morrey law supplies only O(R) of energy over the same bounded time, producing a contradiction for large R, and hence a finite upper bound R_tame<∞ on the tame tail radius. Conclusion: D89's linear-speed supplier is fully absorbed into the increment/filamentation/state defects; no independent sparse tail conveyor exists. The material-support escape branch is thus largely closed, while D21's far-field Euler source and D31's PFET remain independent, separately standing obligations — left for DCRP91 to test whether the remaining material filamentation escape R_fil is itself independent or reducible.

This round's status: NO-GO — 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.

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