← NS-INRS / DCRP102 / X72R85 · Backward Adjoint Dynamics and the Copula Cone

NS-INRS · DCRP102 / X72R85 NO-GO 2026-08

DCRP102 / X72R85: Backward Adjoint Dynamics and the Copula Cone

Following the joint second/third-moment lock problem left by DCRP101, this round derives the exact backward adjoint equation for the pulled-back X72 test Φ, and proves that no universal invariant-sign half-space exists (the No-Invariant-Sign-Cone result): using the explicit example G=diag(1,-1,0), it shows that at a detector zero, admissible local strains S=±G push the detector projection to opposite signs, so fixed-sign transport–Riesz recurrence cannot be read as pointwise adjoint-sign conservation. But on the complementary regular pair-scale branch, it proves that a fixed positive transport–Riesz source together with a compact amplitude bound forces a positive-measure pair set into a strict oriented angular cone, and a finite pair-state pigeonhole argument yields a fixed recurrent angular cell. The conclusion gives a new dichotomy: the adjoint direction either pays a positive angular action, or falls into an explicit nonlocal tensor-ray eigen-lock kernel, leaving the next round to classify the complete tensor-ray structure of this eigen-lock kernel.

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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