← NS-INRS / 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.
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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