Scoped exclusion
Fixed hopping phases do not produce the required asymmetry
In the question: Which seam action distinguishes native opposite charges?
Fixed phases and corresponding invariant starts; real time retains conjugation/time reversal. No assertion about all P1/P2 sources.
Read the exact result, assumptions and evidence
Result
C and K may separately break; A=CK preserves H for all fixed link phases and T_p→T_−p. Invariant starts retain equal Euclidean opposite-charge returns, including quarter phases/flux.
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.
- Fixed link phases and A-invariant start
Arbitrary fixed unitary link phases in the same hopping, real original Hdiag/cocycle and initial density invariant under A=C times complex conjugation. Positive Euclidean T return responses are considered; no general real-time equality is assumed.
- 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
- ADDENDUM.md lines 1–149
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-charged-conjugation-20261015/ADDENDUM.md
9c29c633efacdd7e7a043f1121076d14cb0f2bf8706d8250f9a734c9d409ad2b
finding:fixed-hopping-quarter-phases-retain-antiunitary-discriminator