← NS-INRS / 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.
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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