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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Conditional result

Whole coupled quark source has cancelled winding under common shift

In the question: Automated construction of operator maps and sources

Constant given 36-quark consumer with hypothesized common shift; ordinary relative determinant. No original physical shift identification, full E8, Pfaffian, H integration or 3+1.

Read the exact result, assumptions and evidence

Result

For the existing constant 36-quark R081 circle with h_p=p gamma+V odd and additionally hypothesized common scalar shift U=S⊗I36, UCU*−C is S1 though C−Pfree is generally only S2 when V!=0. The actual whole relative Fredholm determinant is1 for twists1/4 and3/4, by full 2x2 paired blocks and telescoping. Coupled whole H response remains nonzero; do not multiply P/Q marginal block determinants. 23 native checks.

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:whole-coupled-quark-circle-common-shift-cancels-relative-winding