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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

Original graded hypercharge rejects the sector-sign intertwiner

In the question: Automated construction of operator maps and sources

Finite trace proof and actual rational96 gauge-lift computation with ten controls. Excludes only the specified simultaneous dictionary intertwiner. Does not derive physical PF or reject every other intrinsic grading on the same normal fibre image, extra sectors or inflow; anomaly cancellation is not treated as sufficient source selection.

Read the exact result, assumptions and evidence

Result

The actual real unimodular v252 gauge lift gives Tr(gammaY³)=0, quark−9/2 and lepton+9/2. gamma_prime=gamma(2q−I) gives−9, excluding every unitary simultaneously preserving Y and intertwining those two fixed gradings. Weak KO6/operator signs alone allow gamma_prime, while the original fixed graded charge tuple is not equivalent. The complete four sector-sign choices have distinct cubic/fifth graded trace pairs: (0,10/3),(-9,-95/12),(9,95/12),(0,-10/3). Only the original (+,+) preserves the fixed joint dictionary.

Required assumptions

  • 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.

  • Actual v252 SM coefficients and internal KO6 structure

    Original v252 full_D, rep, grading and Kswap, arbitrary Yukawas and symmetric Majorana, SM connection and quark-preserving momentum. No extra quark-lepton mixing or full normal real structure is assumed.

Original evidence

  • B1-GRADED-CHARGE-TRANSPORT.txt lines 1–120

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-GRADED-CHARGE-TRANSPORT.txt

    4fb6c0f4c4f46629eefbcc5f1e8bd5ca8415f58becf478561a856b329e84b71f

  • check_b1_graded_charge_transport.py lines 1–68

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_b1_graded_charge_transport.py

    5ddadb584e44a922c029e8e2095def3611329ce1af5ce1223029cde2fb8d6875

  • B1-GRADED-CHARGE-TRANSPORT.json lines 1–77

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-GRADED-CHARGE-TRANSPORT.json

    9cee2c3b55e61a00357351c0802498a88b55aa1b04bcacd7b3ccf6602794d936

  • REVIEW-CLAUDE-P2.txt lines 1–115

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/graded_boundary_functor/old_source_embedding/REVIEW-CLAUDE-P2.txt

    274bb0ff37dfd8362568de0d6851a1807449f2c2870efe0f0739922a51b4e9d5

finding:actual-graded-hypercharge-trace-rejects-quark-lepton-sign-intertwiner