Established in scope
Primitive cover winding exchanges the quarter sectors
In the question: Common clock sectors, quartic geometry and operational reconstruction
Longitudinal spin-reference core; actual transverse boundary-kernel selection and original per-sheet operator map are not inferred from the index sum.
Read the exact result, assumptions and evidence
Result
Exact unitary Fourier decomposition including H1 domains: B_cov=2(B1/4⊕B3/4),T_pi=diag(i,-i),u_cov=[[0,u_base],[I,0]],u_cov²=diag(u_base,u_base). SF is1 and2=1+1; compressed Toeplitz index is-1 and-2. Full NS reference circle a=1/2 suffices for the prior relative EM line factor without extra quarter selector. In the descended Pinor space scalar u_cov changes lift c to-c at fixed J_perp.
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
- 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
- MOBIUS-QUARTER-OPERATOR-DICTIONARY.txt lines 201–392
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
- check_mobius_quarter_operator_dictionary.py lines 1–119
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/check_mobius_quarter_operator_dictionary.py
6c2a4e3c57aa2a5bab830b651340f9590b954bd068fdd6ac92cc89038e702912
finding:cover-winding-exchanges-quarter-sectors-before-its-square