Established in scope
Joint Ward and two-field data do not select the multifield response
In the question: Automated construction of operator maps and sources
Exact independently checked inverse-data control. Equivalent when all fields are conjugated together; locality of U is unproved. Not a physical alternative candidate or full P1/P2 countermodel.
Read the exact result, assumptions and evidence
Result
For all alpha,beta, H and UHU* retain the full thermal partition, charge, quarter phase, sea energy and joint eta/sea/Ward identity. U fixes vacuum and one-particle sector and hence all vacuum two-field time responses. Yet the fixed neutral pair response at t=log2 is 1/2 versus13/50 after removing the same common sea factor.
Required assumptions
- Fixed fields in the four-mode diagnostic
Given: the first two particle/hole pairs of one chiral CAR source, energies (alpha,1+alpha,1-alpha,2-alpha), the same Hurwitz sea energy and fixed field labels. U rotates only neutral pairs p0h0/p1h1 by 3/5,4/5. Spatial locality or P1/P2 selection of U is not assumed; this is not the internal P2 V16 carrier.
Original evidence
- PROOF.txt lines 519–569
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-collar-multifield-20261016/PROOF.txt
3537a2b080df0bb8b5d30c73da7dd83dc8e1ae5a6cfea4bb48a8b99f0080dfce
finding:joint-ward-two-field-data-miss-fixed-four-field-response