Established in scope
Word transpose is exact but forces neither time ordering nor generic rank two
In the question: Automated construction of operator maps and sources
Generic whole four-carrier. A narrow Creation30 or single-root contract needs separate checking; marked2+1 three-plane still gives(s,s,0). Arbitrary additional original torus letters lie outside the two-projector alphabet. No physical Yukawa or mass origin. Retain old symmetric source420 and complete normal-clock hierarchy bound.
Read the exact result, assumptions and evidence
Result
For K(x,w y),w^t=(-1)^n w_rev with inverted group letters. In the native two-phase lepton class generic h gives [[0,Z],[Z^t,0]],hence(s1,s1,s2,s2). Actual g2 roots e4−e6,e4+e6 with family coefficients eta13=1,eta24=2 give det Sym(eta T)=9/4 and squared singular values3,3,3/4,3/4. Both roots are sigma invariant:[ad_h,Ad_sigma]=0 despite nonzero symmetric pairing. Lack of reversal symmetry therefore proves neither noncommutativity nor physical time ordering. The word is already the actual grade-one affine source correlator <Omega,J^x_1 rho(w)J^y_-1 Omega>.
Required assumptions
- Native third clock and actual current-word pairing
Given original D5+A3 E8 embedding, native toral third b=(-1,-1,-1,0,0,-1,0,0) and its coherent C12 field lift. Test K(x,w y) on g1 using complex-bilinear invariant K and actual ad_u/group letters. In the lepton pairing the carrier color charges vanish and actual family4 sigma phases have multiplicities2+2. A one-Higgs two-class subclass permits one generic fixed h in g2 and otherwise only functions of those same two sigma projectors. Do not presume physical Weyl-field type, temporal ordering, the arbitrary A3 torus or a marked three-plane.
- Full unitary E8 field conjugacy with transported marks
Start with the existing unitary E8 lattice VOA, original cocycle and actual chat,Jhat,sigmahat. Full inner unitary E8 automorphisms are allowed for this conjugacy comparison. Cartan, Gaussian V4, Y, P5 and other marks are transported rather than frozen. This category is explicitly larger than original sign lifts and implies neither a G31 splitting nor a preferred microscopic conjugator.
Original evidence
- CLAUDE-WORD-REVIEW.txt lines 79–240
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/primitive_insertions_review/CLAUDE-WORD-REVIEW.txt
17fd1bed6c23cf1aca4673ff4f29c75193c32d0909e241bd25e8840b985cd242
- CLAUDE-WORD-REVIEW.txt lines 241–328
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/primitive_insertions_review/CLAUDE-WORD-REVIEW.txt
17fd1bed6c23cf1aca4673ff4f29c75193c32d0909e241bd25e8840b985cd242
- ROOT-WORD-COUNTERCHECK.json lines 1–43
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/primitive_insertions_review/ROOT-WORD-COUNTERCHECK.json
69550b0e4b7df534940541a05c16b870f56b533c19506356d7c8ffa04e891010
- JOINT-LIFT-NATIVE-CLOCK-CONNECTION.txt lines 88–175
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/JOINT-LIFT-NATIVE-CLOCK-CONNECTION.txt
edd2cdaea4c4debd337b4850d48da95de68e9367d780b9e3f0a96755588a45c8
finding:native-clock-word-transpose-has-static-rank-four-counterexample