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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

Whole v252 real basis has signed P2 and dual dictionary

In the question: Automated construction of operator maps and sources

Wholeactualfiber/globalSMcomparison;notglobaltrivialization. ExtraSpin10/Kactionistransportedcomparison,notimplementedphysicalE8source. Fourthfamily/otherKbranchesneededforE8brackets. CARmapisnotE8_1currentalgebraorP1selection. ReuseoldpositiveP2/level4results.

Read the exact result, assumptions and evidence

Result

ReusepositiveSM/P2wedgeintertwiner;completeoppositegradebyWminus(JFv)=CcompWplus(v),Ccomp=P_Nstar. Whole realsigned96unitary intertwinesgrading,JFcompactconjugation andseparate splitcoefficientconjugation. FiveCartanandfortyD5rootexactsignchecks pass. FullSM/charges andinducedCARstarisomorphism retained. Globaldual retains determinantpowersD^(-1-m). Independentsmall96replaypassed.

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.

  • Original oriented exterior carrier

    Given E=C5=E3⊕E2, a Hermitian metric, volume orientation, S± and Y=(-1/3)^3⊕(1/2)^2. Internal carrier labels are not physical vacua; geometric seam reflection is not identified with carrier conjugation.

  • 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.

Original evidence

  • CLAUDE29-CHIRAL-WEIGHT-DICTIONARY.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE29-CHIRAL-WEIGHT-DICTIONARY.txt

    269d2272e43d610dc25a1f7c08143667331ba0184aa9e8ffaa0d4dc58f38f054

  • CLAUDE29-CHIRAL-WEIGHT-DICTIONARY.txt lines 201–207

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE29-CHIRAL-WEIGHT-DICTIONARY.txt

    269d2272e43d610dc25a1f7c08143667331ba0184aa9e8ffaa0d4dc58f38f054

  • v252_full_finite_triple.py lines 86–168

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

finding:actual-v252-entire-real-basis-has-signed-p2-dual-dictionary