TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/JOINT-HIGGS-TWOFACE-SOURCE-CONSTRAINT-20261102.txt
Original file SHA-256: db30b33db3c1d4528c65e0ffb6951ef1276710b5958afa10f06a04990c6dbd33
Inclusive original lines: 46-62
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000046 | --------------------------------------------------
000047 | For the same R054 conditional fibers, O=3N^2-sum_cd E_cd E_dc obeys
000048 | <O>_H=24m(H)^2 and <N>_H=3m(H), with the stated color symmetry. Therefore,
000049 | for the same integrable unnormalized weight on both sides,
000050 | 
000051 |  Z[O] = 8 Z[m(H^dagger H) N].                              (3)
000052 | 
000053 | The identity is linear and does not require positivity of the weight.
000054 | It requires the mixed insertion m(H^dagger H)N and the stated conditional
000055 | fiber identities. It cannot be added to the original solver alphabet until
000056 | the original H carrier, source insertion, and conditional fibers are actually
000057 | connected. With normalized positive mu, (3) recovers Delta_O=8 Cov(m,N),
000058 | so the mixed word and the quartic defect express the same relation, not two
000059 | independent measurements. Finite or complex normalization is not presumed.
000060 | 
000061 | 3. A second mixed source word reading the actual crossing block
000062 | ---------------------------------------------------------------