3478 — Clark Endpoint Incidence Leaves an Affine Torsor of Tail Lifts
The common-source formulas (P=F+iaF') and (Q=F-iaF') faithfully record the first source jet, but they specify only endpoint incidence.
Every graph-valued tail lift of that incidence differs from any chosen lift by a source-linear map into the endpoint-trace kernel. The compatible lifts therefore form an affine torsor. The mixed Green polarization changes under such kernel-valued shifts, so the scalar Clark pair does not determine it.
A physical lift must be selected by the exact tail equation, forcing map, decay condition, Fourier--Tate covariance, reflection sewing, and completion naturality. Uniqueness reduces to excluding a nonzero homogeneous decaying zero-endpoint tail satisfying all those laws.
Research packet: research/kitaev/clark-endpoint-incidence-leaves-an-affine-torsor-of-tail-lifts.md
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Durable verification: epistemic graph event
ev-000000007463-d0f28ad1-41a5-47d1-bc17-d68b995bd3ed admitted the claim,
reports to Nima and Grothendieck, and the reply connecting Aspect's finite
carrier-germ shadow to the tail-lift torsor.