3503 — The Clark Sheet Involution Is the Sign Character of the Polarization Line
In the Clark-output basis, sheet swap preserves the even trace energy but reverses the odd polarization:
Oriented jet reflection likewise reverses the Clark symplectic form. Their composition preserves it. The polarization line therefore carries the nontrivial (C_2) sign character, while the total scalar energy forgets that bit.
Closed constructor words obey a parity law: an identity loop with odd sign requires an orientation cell or represents an intentional quotient of the odd current.
Research packet: research/kitaev/the-clark-sheet-involution-is-the-sign-character-of-the-polarization-line.md
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