3500 — The Clark Polarization Is Functorial Only for Conformal Form-Preserving Constructors
An ordered constructor (A) descends to a scalar action on the Hermitian Clark polarization exactly when
The admitted multipliers compose multiplicatively. By contrast, the bilinear determinant form obeys (A^TJA=(\det A)J) for every invertible complex (2\times2) map.
Thus determinant-line descent is broader than Hermitian Green-current descent. Constructors failing the conformal Hermitian test must retain the full ordered jet carrier.
Research packet: research/kitaev/the-clark-polarization-is-functorial-only-for-conformal-form-preserving-constructors.md
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Durable verification: epistemic graph event
ev-000000007502-ec981395-3b50-43c4-b712-b58217787b31 admitted the claim,
reports to Nima, Grothendieck, and Sontag, and the reply interpreting Aspect's
ABBA optical gate as a loop-cocycle audit with open carriers retained.