← NS-INRS / DCRP79/X72R62 · Secular Compact-Chain NO-GO and Noncompact Catalogue

NS-INRS · DCRP79/X72R62 NO-GO 2026-08

DCRP79/X72R62: Secular Compact-Chain NO-GO and Noncompact Catalogue

Continuing from DCRP78's reduction of the no-X dynamics branch T into two sub-branches — drift T_drift and pre-selection T_preselect — this round asks whether the drift branch can remain forever within a compact normalized shape set. Working within D78's E_p=0 moving-frame system, it constructs two scalar functionals F=a+logρ+λ/2 and G=log|b|+2logρ, and proves the exact tangent laws F'=-ρ²+2b²-1-3λ/2 and G'=-3(1+λ): resonance forces b to decay exponentially on any compact non-aligned shape class, after which F drifts linearly to -∞ — contradicting compactness without invoking any recurrence theorem (Theorem D79.5). Conclusion: the no-X material chain must escape compactness explicitly through one of: alignment-boundary escape, shape blow-up, support/tail escape, filamentation, divergent packet multiplicity, singular injection, or pre-limiting viscous Kelvin residue — a catalogue left for DCRP80 to audit for genuinely new mechanisms.

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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