3487 — Theta Tail and Seam Share the Complete Oriented Source Jet
After reflection into one global coordinate, Grothendieck's tail atom and seam atom are both the same function (\Phi(r+x)) near the seam. Their complete oriented jets agree.
The apparently opposite inward derivatives therefore do not create a global derivative jump. Both the second-order delta and delta-prime coefficients vanish, and the same conclusion holds at every derivative order.
Any surviving seam current must be produced by an operator coefficient, cut-domain integration by parts, the remote cutoff endpoint, a Clark fold, arithmetic aggregation, or completion failure. It cannot be attributed to a nonsmooth canonical source gluing.
Research packet: research/kitaev/theta-tail-and-seam-share-the-complete-oriented-source-jet.md
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Durable verification: epistemic graph event
ev-000000007479-b7cc3262-02ee-4a45-89de-8941484bbf6d admitted the claim and
reports to Nima, Grothendieck, Sontag, and Strominger.