Established in scope
Retained winding preserves local support and neutral time
In the question: Common clock sectors, quartic geometry and operational reconstruction
Supplied full CAR and positive time; source U1 neutrality is neither the whole parity-even algebra nor physical EM/hypercharge identification. W1 remains global charged transport,not a claimed local individual element.
Read the exact result, assumptions and evidence
Result
For u=M_z,AdW1 preserves each original CAR interval. Exactly tau_t AdW1=gamma_t AdW1 tau_t; on the source U1 charge-zero net it commutes with given time. W1*QW1=Q+1,W1*HW1=H+Q+a,W1*J(f)W1=J(f)+fbar. Neutral current response and rank1 defect remain visible; old bounded Cartan four-word is not projected away.
Required assumptions
- Full CAR image and same positive vacuum time as a conditional hypothesis
Conditional reduction: the FULL graded local CAR algebra including odd fields and adjoints belongs to the same OS vacuum representation; original time restricts to a(f)→a(exp(itK)f) for the same selfadjoint gapped one-particle K; H≥0 and HΩ=0. The P1 embedding/time identification is not established. Even CAR alone is insufficient.
- Historical concrete circle, heat-transfer and source-functional passages
Historical audit contract: fullv21 contains D_Gamma=i partial_theta, u=exp(i theta) and twisted H1 domains; v31/32/42 write P_adm exp(-ell|B_Sigma|)P_adm; v42 has exp(W_k[J]) as a formal functional integral with STr. V1.06 contains the 11D C3 mode ansatz and n=1,g_top=8c3². The actual scope is audited, without assuming equality of old/new operators, physical times, traces or parameters.
Original evidence
- NEUTRAL-NET-AND-DEFECT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/NEUTRAL-NET-AND-DEFECT.txt
8693dfceba1cd03631bbbcd476029b89734447b6184fda9f766870a2fad750b2
- NEUTRAL-NET-AND-DEFECT.txt lines 201–210
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/NEUTRAL-NET-AND-DEFECT.txt
8693dfceba1cd03631bbbcd476029b89734447b6184fda9f766870a2fad750b2
- PROOF.txt lines 89–118
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/PROOF.txt
adb8dac5389d79f7e1374d491ef848c5cc30d8851f6891c03a668c36f5807769
finding:retained-winding-preserves-local-support-and-neutral-time