Established in scope
Ramond lift sign is common intertwiner-basis gauge
In the question: Common clock sectors, quartic geometry and operational reconstruction
Common completion up to intertwiner basis; an independently original-marked mixed junction would be stronger input. No identification of physical clock operators or localized spinor vertex with global charge shiftX.
Read the exact result, assumptions and evidence
Result
The two extensions kappa=±i are equivalent by U_tau|n+c0s>=(-1)^(c0Qn)|n+c0s>. U_tau is pointwiseI on both supplied0+v and0+s,sendsW_kappa toW_-kappa and transports X=E_s onlyonv↔c. With additional fixedX,W_kappa XW_kappa*X*=(-i kappa)I; under full transport the word is unchanged. No independent physical kappa parameter. Geometric Cartanlift(+,+,-,-) and standard defect(+,-,-,+) are different operators despite agreeing onE8 0+s.
Required assumptions
- Standard four-module parent with supplied CAR and E8 subtheories
For the mathematical bridge use the standard four-module AIA over D8*/D8={0,v,s,c} with its supplied CAR 0+v and E8 0+s cocycle restrictions. NS space,actual R8 source winding and quarter time are the existing data. Ramond completion and global spin-surface/gauging functor are not assumed physically derived from P1. Transport of a complete common intertwiner basis is allowed; an independently marked mixed junction would be stronger input.
Original evidence
- SAME-SOURCE-AFFINE-DEFECT.txt lines 150–330
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/SAME-SOURCE-AFFINE-DEFECT.txt
514356e9ca01f8aa02399020a503f6cd782c879b00220274b7c4377cbbad7255
- AFFINE-DEFECT-INDEPENDENT-REVIEW.txt lines 339–490
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/AFFINE-DEFECT-INDEPENDENT-REVIEW.txt
0870f40d5b6d65b3d62a435e6c11706bba84dbf1fb21706bd6c6aa6cc058f142
- PROOF.txt lines 176–209
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/canonical-seam-fermionization-20261025/PROOF.txt
adb8dac5389d79f7e1374d491ef848c5cc30d8851f6891c03a668c36f5807769
finding:ramond-lift-sign-is-common-intertwiner-basis-gauge