Established in scope
A4 spin lift fixes local NS and the unordered quarter pair
In the question: Common clock sectors, quartic geometry and operational reconstruction
Local spin contribution in the original Moebius geometry; no choice of extra U1 Wilson holonomy,single quarter CAR channel or physical OS time. Not identity with separate P2 clock.
Read the exact result, assumptions and evidence
Result
A4 requires the order-four lift of the same Moebius identification. The double-cover core loop is its square,so spin holonomy r²=-I gives NS. Both Pin-minus lifts r,-r and the base sign twist have the same cover holonomy. Full combined cJ_perp gives spin-reference phases{1/4,3/4}. The tentative R twist on the cover preserved only thin A2/A3 and violated A4; it is not a countermodel to the full original.
Required assumptions
- Original A4 lift of the same Moebius identification
The order-four spin lift explicitly named by fullv21 A4 belongs to the same geometric Moebius Z2 identification. As a Pin lift it has r²=-I; the local spin-reference channel is examined. Extra flat U1 connection holonomy and physical OS time are not inferred.
- 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
- PROOF.txt lines 1–88
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/PROOF.txt
adb8dac5389d79f7e1374d491ef848c5cc30d8851f6891c03a668c36f5807769
- ORIGINAL-SPIN-AND-SEAM-DICTIONARY.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/ORIGINAL-SPIN-AND-SEAM-DICTIONARY.txt
dfaef864428375b018d0eddcb77a4a5ccd085e996eb1c1b3f1d8db526991cf24
- MOBIUS-QUARTER-OPERATOR-DICTIONARY.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/MOBIUS-QUARTER-OPERATOR-DICTIONARY.txt
0b5f5cb8a4e47bedc3c6febb00666893da1797335644d0fb058072379589bd59
- QUARTER-ORIGIN-INDEPENDENT-REVIEW.txt lines 1–178
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/QUARTER-ORIGIN-INDEPENDENT-REVIEW.txt
a894cf9311408d7c7e043b105cc845fee34c192db1d9249675672e5e1644fca5
finding:a4-spin-lift-fixes-local-ns-and-unordered-quarter-pair