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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.

Established in scope

Universal graded reducing images do not fix the carrier frame

In the question: Automated construction of operator maps and sources

Analytic finite classification with exact dimension4,6,8 and symbolic phase controls. Fibre reduction retains the circle; no physical PF, clock identification or new Lean proof, and no transfer to a smaller SM coefficient class.

Read the exact result, assumptions and evidence

Result

For the full independent graded matrix class the common commutant is span{I,Z⊗gamma}, giving exactly two nontrivial reducing projections of rank dimF. Frames retain unitary freedom; every phase chart E_theta has the same image. The intrinsic odd reader is independent of that chart. Reduction does not select its phase.

Required assumptions

  • Full independent finite even and odd coefficient class

    Both grading sectors are nonzero; A and Phi independently range over every self-adjoint even and odd matrix. This stronger coefficient class is not asserted to be the original SM source.

Original evidence

  • B1-WHOLE-SOURCE-REDUCTION.txt lines 1–183

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-WHOLE-SOURCE-REDUCTION.txt

    4e69eb782b67a27e820fdee1f57a6755d4e8674b87c1fcd6242d7e53790e9cb9

  • check_b1_whole_source_reduction.py lines 1–132

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_b1_whole_source_reduction.py

    d7230cf739c0f0d327c9b8eec369cf42d9b13909cbf06f3c7c0f9d5ef5a7cc65

  • B1-WHOLE-SOURCE-REDUCTION.json lines 1–113

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-WHOLE-SOURCE-REDUCTION.json

    61b37346a53cf54404153268ff72f69261dc21675fe01e0d73ec309aab917dd6

finding:universal-graded-source-reducing-images-do-not-fix-carrier-frame