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Established in scope

Positive v252 sector has actual global P2 wedge dictionary

In the question: Common clock sectors, quartic geometry and operational reconstruction

New content is the concrete global v252/P2 dictionary and actual Phi test. Basic spinor-CAR level4 was already finding:joint-spinor-not-source-coefficient and is not rediscovered. Full Spin10 can be transported to v252,but is neither implemented there nor derived as physical source symmetry. A charged invariant ray is not a neutral fixed vector;sigma eigenvalue1 is stronger than ray invariance. Sterile neutral line carries source-clock charge but Y0,not automatically physical EM readout. No derivation of Ynu,MR,physical family clock,E8_1 source identity,4D or full solution.

Read the exact result, assumptions and evidence

Result

On the full real gauge lift,det(pi(u))=(lambda det(m))^4 per generation. On the connected unimodular branch,gamma_F=+ is exactly Q_L,L_L,u_R^c,d_R^c,e_R^c,nu_R^c with original SM charges. An explicit unitary map to 1,c_c wedge w_a,epsilon_cjk c_j wedge c_k,w1 wedge w2,epsilon_cjk c_j wedge c_k wedge w1 wedge w2,vol_c wedge w_a intertwines the ENTIRE S(U3xU2) action with Lambda_even(E3+E2),including global Z6 form and opposite action. Three generations use W tensor I3. With an additionally supplied sigma=(123),eigenvalue1,the unique SM-neutral fixed line is e=nu_R^c tensor s,s=(1,1,1)/sqrt3. Actual coefficient gives Phi e=nu_R(MR s)+nu_L^c(barYnu s); preservation iff MR s=barYnu s=0. Reuse existing level4 result concretely for actual Y: tr16Y²=10/3 versus D5_1 basic norm5/6,three-family ratio12. Rescaling to match levels changes Ward charges.

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.

  • 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.

  • 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 evidence

  • REVIEW-CLAUDE-P2.txt lines 1–191

    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

  • CURRENT-LEVEL-CHECK.txt lines 1–152

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/graded_boundary_functor/old_source_embedding/CURRENT-LEVEL-CHECK.txt

    57b69a7222d16067061cd2c485439069581b903f3dd376ce8515792dea289410

  • v252_full_finite_triple.py lines 63–168

    Source checked at this snapshot

    Original location and fingerprint

    verification/v252_full_finite_triple.py

    820254440e178430422e50605067775656236602996307f67c9e69124ba5d163

  • 001-section-overview-and-claim-map.tex lines 166–282

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--paper-latex--tfpt-v29/sections/001-section-overview-and-claim-map.tex

    4869b6ba74ae2ecd5c316d99f97c63140f67090b52b79032c16962f1e7fab8e5

  • PROOF.txt lines 189–216

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-joint-conjugation-20261015/PROOF.txt

    bbea15f5ebb1dff698f1ecdfd8a18e724089c8fe9880dea684a5f9fd45cb1c8a

finding:actual-v252-positive-grade-has-global-p2-wedge-dictionary

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