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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.

Scoped exclusion

Unchanged native source is not the fixed chiral response

In the question: Which seam action distinguishes native opposite charges?

Only the fixed marked response identification at these starts and the same time.

Read the exact result, assumptions and evidence

Result

The native ratio is one; the fixed quarter twist gives exp(−2tδ·Bp), which differs from one on at least one original basis direction.

Required assumptions

  • Full original charge-field source

    Finite Round20 lattice/scalar space with the original bilinear E8 cocycle, complete integer charges, onsite T and balanced W, coercive quadratic Hdiag and supplied hopping. No P1/P2 selection or local chiral field identification is presumed.

  • Charge-conjugation-invariant start

    The initial density is invariant under linear C:n→−n, including full and C0 Gibbs starts of unchanged H. Compare actual adjoint-paired, opposite marked T responses at the same time.

  • Fixed nonzero chiral quarter twist

    The comparison target is the stipulated Kδ Fock space with original nonzero quarter twist, normalized ±Bp primary states, fixed charge marking and the same positive time. Equality of all these responses is required.

Original evidence

  • PROOF.md lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/native-charged-conjugation-20261015/PROOF.md

    db1da5ce443535c1972bb93314f4478a1e0627b0a0524501d4166f41feb56024

finding:native-invariant-response-not-fixed-chiral-twist