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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Actual partner map between quarter domains

In the question: Which partner actually belongs to the original seam?

Given chiral source. No selection from P1/P2, no equal responses within one fixed twist, and no identification with affine r0.

Read the exact result, assumptions and evidence

Result

n→−n−1, alpha→1−alpha gives C D_alpha C^-1=−D_(1−alpha). Particles become holes and conversely; normal charge reverses and positive excitation energy is preserved. The unique sea state maps to the other sea state without adding a zero vector within one domain.

Required assumptions

  • Given chiral source in both quarter domains

    D_alpha=-i∂theta on f(theta+2pi)=exp(2pi i alpha)f(theta), filled negative spectrum and relative particle/hole excitation time; alpha=1/4,3/4. This compares two conjugate domains, not opposite charges in one fixed domain or all P1 sources.

Original evidence

  • PROOF.txt lines 154–203

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-partner-original-action-20261015/PROOF.txt

    ff7c8dff8939e8380509bff5a34145f935407344a07bda1d65b7b25489a2677c

finding:partner-chiral-quarter-conjugation-state-time