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