← NS-INRS / DCRP45 · Canonical-Ray Compression of the Annular Strain Supplier

NS-INRS · DCRP45 Pivot 2026-08

DCRP45: Canonical-Ray Compression of the Annular Strain Supplier

Building on the untested implication DCRP44 posed — 'finite annular PFET/strain supplier ⟹ C_qz≠0 or F_sz≠0' — and combining DCRP41's fixed-plane zero-deformation branch with DCRP35's annular-supplier localization result, this round proves the implication is false at leading affine order: the symmetric trace-free affine strain decomposes orthogonally into 1+2+2 dimensions, and the canonical-ray component a(s)C_n is fully compatible with the gauge-flat normal form, so the 'supplier breaks flatness' route closes entirely. But projecting DCRP36's annular affine-jet equation onto the canonical ray collapses the original five-dimensional affine-phase frontier into a one-dimensional signed canonical-ray regeneration problem, whose regeneration action gap is strictly positive. STOP-D45 confirms that finite annular strain supply is compatible with gauge flatness, with the survivor reduced to a one-dimensional signed canonical-amplitude regeneration problem, left to DCRP46 to explicitly compute j_dil, j_adv, j_str and test their coupling to PFET.

This round's status: Pivot — 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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