Conditional result
Hypothetical common scalar shift gives index minus eighteen on whole retained Higgs sector
In the question: Automated construction of operator maps and sources
Whole diagnostic 18-channel gamma+ quark sector at fixed background with hypothesized common scalar shift; ordinary relative Fredholm determinant, no physical Majorana Pfaffian, full source identification or alpha prediction.
Read the exact result, assumptions and evidence
Result
The original diagnostic R081 quark gamma+ restriction has18 retained components. At fixed Higgs the whole 18-channel covariance differs from positive Hardy projection by trace class. IF the same original scalar shift acts on each channel, the already established pair index gives −18 and relative Fredholm determinant (1−z)^−18; the prior (1−z)^−1 factor is one component only. Native v252 builder and finite convergence test with5 checks executed. Physical primitive unit winding requires the actual full-source selector, opposite orientations, bound reference or another derived mechanism, none freely selected.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Given native Higgs quantum source and actual graded restriction
Existing original96 oneform with fixed supplied Y/MR, non-KO-doubled36 quark part, Hermitian odd forces and given constant circle time. Finite faithful mode Gibbs C=expit K, K=2ell(p gamma+sum xa Ta),ell>0 and original quarter p. P is diagnostic gamma+ subspace, not identified with physical P_F/Padm. Conditional CAR quasifreeness at given background, not after dynamic H integration. Seed252,p1/4,ell.2,r.3 are constructor controls, not selected physical parameters.
Original evidence
- WINDING-MULTIPLICITY-PROOF.txt lines 1–40
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WINDING-MULTIPLICITY-PROOF.txt
e00dde693771c8b4150fb420ed3703f153a8b11e29263e770d60b341ad626971
- check_winding_multiplicity.py lines 1–45
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_winding_multiplicity.py
1792f2cf31da65c26d6fea0dac635c950122a52225345f4b0cad98e7f7213a17
- WINDING-MULTIPLICITY.json lines 1–33
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WINDING-MULTIPLICITY.json
aa363be0cec2cd8d5b643ca87cd39a5ec361c05583b18f66d7ee8345aed9aa06
- PAIR-INDEX-DETERMINANT-REVIEW.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/PAIR-INDEX-DETERMINANT-REVIEW.txt
f85695ecf75c5935e469a4fedb9e72fa0920ea90d9189a33c5715526bc11acc6
finding:shared-scalar-shift-whole-retained-higgs-sector-has-index-minus-eighteen