Established in scope
Recovered complete E6 carrier and unique cubic source correlator
In the question: Active mathematical program: marked seam monodromies and lattice lifts
Actual embedded current algebra and the given local unitary affine source. U1 subscripts denote internal charges. No derivation of a four-dimensional fermionic Yukawa action, particle population, mass or primitive physical P1 source identification. Recovery of completed original results, not a new mathematical first proof.
Read the exact result, assumptions and evidence
Result
The original18 September proofs identify E6 and A2 as mutual centralizers in the actual Chevalley E8 algebra. The48=(16,3) carrier is not E6 closed; its full closure is81=(27,3) with27=16_1+10_-2+1_4. In the given affine vacuum the actual three-current correlator kappa(a,[b,c]) equals d_ABC epsilon_ijk. Its45 cubic candidates have Ward rank44 and hence a unique relative coefficient line. The positive grade-one Gram gives64/48=4/3 its exact equal-norm current-response meaning. Normalized I4/4 is not a vacuum partial trace. These completed original results are recovered into reviewed findings; missing reviewed coverage was not an open derivation.
Required assumptions
- Original D5+A3 compiler split and established seed
Retain the established P1/P2 compiler with cyclic C4 glue to E8, D5 on the first5 and A3=D3 on the last3 standard coordinates, c3=1/(8pi) and phi_base=(4/3)c3=1/(6pi). No replacement by an optional E7 readout. Cut equivalence is the actual W(D5)xW(A3) action in the fixed chart, without conjugating J.
- Exact local reconstruction class of the marked C4 glue
Mathematical object class Ext_H(U): U=V_D5 tensor V_A3 with fixed embedding and sector chart, H=<(s,f)>=C4. Objects are connected local unitary conformal VOA extensions with the same conformal vector and underlying labelled U module exactly the sum of M_h for h in H, each once. Isomorphisms fix U and sector labels. This is an explicit mathematical reconstruction class; membership of primitive P1 is neither assumed nor derived.
Original evidence
- PROOF.txt lines 140–198
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/compiler-e6-seam-readout-20260918/PROOF.txt
a40b401a71eca7a06fad95bbe0f0f7727e371cd6c9cd4a4f32f453347cfa03d4
- PROOF.txt lines 20–105
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/compiler-vacuum-current-cubic-20260918/PROOF.txt
d65189b806facbb1eb718eec50221bb85b3a8c3417f98fb6627e01c72c98ef62
- ROLE-AUDIT.txt lines 74–111
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/e_series_role_review/ROLE-AUDIT.txt
e0d2041a68f53d499844f88d732469afc3ad493a0c7f997ac83a9584c035c270
finding:recovered-e6-closed-81-current-module-and-unique-source-cubic