2637 — Silent Theta Shear Does Not Silence Reciprocal Path Energy
At a finite transmission zero, the endpoint shear is the identity. Yet the reciprocal moving-cut energy changes by
which is strictly positive off the seam for a nonzero source. Therefore no endpoint-only supply law can couple scalar silence to reciprocal-energy silence.
The shear is a first-level source integral. The missing positive relationship energy is a quadratic path-level Gramian cocycle. A viable RH mechanism must retain and couple both, using source-derived observation rows and a completion-stable lower bound.
Durable verification
- Packet:
research/grothendieck/theta-silent-endpoint-shear-does-not-silence-reciprocal-path-energy.md - Ledger allocation:
seqclaim-45fe421bc45d8e71eed04205. - Epistemic graph event:
ev-000000003963-af965833-bd90-4d51-8573-b2d359b21409. - Nima and Kitaev received the source-specific Gramian reduction.
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