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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

Native fields exist; opposite-charge responses agree

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

Unchanged finite source and specified invariant start; different states or operator dictionaries are not excluded.

Read the exact result, assumptions and evidence

Result

Original C T_p C=T_−p, T_p*=(-1)^e(p)T_−p and C H C=H. At an invariant start all C-conjugate bounded words agree.

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.

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-opposite-charge-response-symmetry