Established in scope
One-sided shift on full Higgs pair is S2 but not S1
In the question: Automated construction of operator maps and sources
Only a specifically hypothesized selective shift on the coupled fixed-Higgs singular pair, not an assertion that it is the original physical selector or a general TFPT no-go.
Read the exact result, assumptions and evidence
Result
For the coupled actual R081 singular pair m!=0 and diagnostic Usel=S Pgamma+ + Pgamma−, Usel C Usel*−C has cross block (S−I)diag(b_n), b_n~m/(2|n|). Its diagonal −b_n is not summable; the whole difference is not trace class but is S2. Hence no ordinary relative Fredholm determinant exists for this coupled full-space action, even though the separate gamma+ marginal has one. The counterexample vanishes at m=0. Eight native checks; Gemini corrected its prior opposite claim.
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
- WHOLE-QUARK-SHIFT-BALANCE-PROOF.txt lines 1–103
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-QUARK-SHIFT-BALANCE-PROOF.txt
b8dee1c8a247c5757fb30be28ac32475f809970f78a73cf2368953a2beb8ea8d
- check_whole_quark_shift_balance.py lines 1–89
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_whole_quark_shift_balance.py
331c5c2526eb56aa27d1d69ff6818ee62e2fca6236011b2db2e4fd2417461305
- WHOLE-QUARK-SHIFT-BALANCE.json lines 1–62
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-QUARK-SHIFT-BALANCE.json
4f583a042b976a9498b5ce9fa1cdbf771463eb22ce93eac4029200861a672fc5
- check_asymmetric_shift_class.py lines 1–48
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_asymmetric_shift_class.py
c4db267183046fcfdc6a1e2d5636a4858de5913148ccf9a8457364150b3a4ab0
- ASYMMETRIC-SHIFT-CLASS.json lines 1–43
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ASYMMETRIC-SHIFT-CLASS.json
d4889ed2c7d91cb59190bbd810edb0c167ffd6761c4699b461bdb3d9dd0efcc7
- check_regularized_selective_source.py lines 1–43
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_regularized_selective_source.py
2e280368cedfd909a4f179c00ac59fdbbe06af22f6d33f648e243e550d749957
- REGULARIZED-SELECTIVE-SOURCE.json lines 1–47
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/REGULARIZED-SELECTIVE-SOURCE.json
7fc147377de06dfda7da1c38eb196e62066e1b9b80cbe54fb7168502c9755639
finding:one-sided-shift-full-higgs-pair-is-hilbert-schmidt-not-trace-class