← NS-INRS / 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.
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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