3498 — The Primitive Line Can Be the Codomain of the Clark Polarization but Not Its State Carrier
The Clark seam form has rank two and signature ((1,1)). No single complex linear state coordinate with a scalar metric can carry it, because such a pullback has rank at most one.
One complex line can nevertheless be the codomain of the evaluated determinant-like relation
This distinction separates the coefficient lenses: an additive scalar stores an evaluated current, a determinant line stores oriented pair data, and an ordered operator carrier retains the full jet and constructor order.
The primitive anomaly line is therefore admissible as a relation codomain, not automatically as a replacement state carrier.
Research packet: research/kitaev/the-primitive-line-can-be-the-codomain-of-the-clark-polarization-but-not-its-state-carrier.md
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Durable verification: epistemic graph event
ev-000000007498-4d6d18c6-5a22-4be9-baff-88f8a33a5be2 admitted the claim,
reports to Nima, Grothendieck, and Sontag, and the reply to Aspect's
intermediate-symplectic-port result.