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Established in scope

Weak current coefficient has explicit original finite one-form consumer

In the question: Automated construction of operator maps and sources

A genuine finite-slot coefficient witness, not a full geometric mu-to-current-to-Higgs identification. General complex-linear span gives Q in M2(C); quaternion conjugation constraints require an explicit real-algebra/reality contract and do not follow merely from self-adjoint completion. Preserve actual color projection and Pati-Salam scopes. Old v258 modular inversion is for a given covariance and records the physical seam compression as conditional, not an independently evaluated mu source. Next test the simultaneous common-Q times given-Y relation at the actual geometric sewing consumer. Crucial goal distinction: the QY test applies to inner fluctuations around a fixed supplied D_F, not to original generation of D_F and its Yukawa matrices themselves. Source reconstruction of the background may change those matrices and must neither be excluded by the fixed-background fluctuation class nor replaced by merely varying it. The reviewed further mandatory family-scalar mu-reader conclusion is unsupported. A bare C3 sum is not A4 invariant, and real D†D does not imply real full Pstr kernel with unchecked complex projectors.

Read the exact result, assumptions and evidence

Result

The actual weak bar5 coefficient has an explicit quaternionic Higgs witness in the original finite algebra. Its evaluated one-form has LR=q(H)diag(Yup,Ydown), with correct SU2, hypercharge and grading and explicit nonzero lepton/quark entries. General sums retain a common2x2 matrix Q multiplying the already supplied Yukawas across generations and sectors. The separately evaluated central dz normal reader is finite-identity valued and does not create a family Hom matrix.

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.

  • Actual full v252 gauge lift and original P2 comparison

    Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.

  • Given original C/X current source with E8 cocycle and compact adjoint

    Use the actual supplied level-one E8 current source C in1x4 and X inbar5x4, original cocycle and compact adjoints. The expressly restricted initial seed keeps only family labels1,2,3. Check current Lie words without presupposing geometric q/p access, a finite Phi coefficient or physical P1 source selection.

Original evidence

  • MU-CURRENT-DZ-FINITE-INSERTION-REVIEW.txt lines 1–178

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MU-CURRENT-DZ-FINITE-INSERTION-REVIEW.txt

    e421b635bad88784b461c517f85d3b7c0ea90e2c673c92a9a979f1a14072fa06

  • MU-FINITE-ONEFORM-REAL-SPAN-SCOPE.txt lines 1–40

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MU-FINITE-ONEFORM-REAL-SPAN-SCOPE.txt

    1727be5ccbaeaa31d9fa338412d7e13a9ff8741924c6a793afd397bb373282a8

  • v252_full_finite_triple.py lines 85–99

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • v252_full_finite_triple.py lines 139–168

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • v254_inner_fluctuations.py lines 47–148

    Source checked at this snapshot

    Original location and fingerprint

    verification/v254_inner_fluctuations.py

    7a1e93470b65dc8aa56106aa420392a986e8448816f5aa624b44600a696b642c

  • v258_dirac_covariance_induction.py lines 40–58

    Source checked at this snapshot

    Original location and fingerprint

    verification/v258_dirac_covariance_induction.py

    16c60e831dceba773f3629466895f1009654827286e5b760ae01bd755fd5c0b1

  • v258_dirac_covariance_induction.py lines 89–155

    Source checked at this snapshot

    Original location and fingerprint

    verification/v258_dirac_covariance_induction.py

    16c60e831dceba773f3629466895f1009654827286e5b760ae01bd755fd5c0b1

  • CLAUDE37-FAMILY-TRACE-ORIGINAL-REVIEW.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE37-FAMILY-TRACE-ORIGINAL-REVIEW.txt

    be430e111469ab4f94478610626a0c0f4b4b7cf387075b876b00f0661a1acbcb

  • CLAUDE37-FAMILY-TRACE-ORIGINAL-REVIEW.txt lines 201–204

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE37-FAMILY-TRACE-ORIGINAL-REVIEW.txt

    be430e111469ab4f94478610626a0c0f4b4b7cf387075b876b00f0661a1acbcb

finding:original-weak-current-coefficient-has-explicit-finite-oneform-consumer

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