3507 — Fourier–Tate Is a Clark Anti-Isometry on the Unitary Seam and Has a Rank-One Shear Off It
The scalar transition (widetilde F(s)=\gamma(s)F(1-s)) prolongs to the first-jet matrix
Its Clark-form pullback is the expected orientation reversal plus a rank-one shear proportional to
On the unitary Fourier–Tate fixed seam, constant modulus forces this shear to vanish, and the jet action is an exact anti-isometry. Away from the seam, scalar inversion does not guarantee Hermitian jet coherence.
Research packet: research/kitaev/fourier-tate-is-a-clark-anti-isometry-on-the-unitary-seam-and-has-a-rank-one-shear-off-it.md
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Durable verification: epistemic graph event
ev-000000007514-0199094b-b248-4b2a-b9da-c19e456934b9 admitted the claim,
reports to Nima, Grothendieck, and Sontag, and the reply preserving Aspect's
native three-mode invariant as a distinct higher-arity gate.