TFPT scientific source excerpt Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/ADMISSIBLE-ACTION-DERIVATION-20261103.txt Original file SHA-256: d3b7ea73d59c1c671af0fec4a4f9b1048dfc297eb26a932fe18fda2af03b972d Inclusive original lines: 272-320 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000272 | 9. EXECUTION, REVIEW AND OUTCOME 000273 | 000274 | Root used the UNCHANGED original v252 full_D,rep_PS,Kswap and the original 000275 | v254 quaternion(0,1). All72 real Yukawa and12 real symmetric Majorana 000276 | directions were evaluated. Corrected whole96 orbit,A2 block and SM control 000277 | all have maximum operator residual0. Norm/trace identities have maximum 000278 | absolute residual3.553e-15. Five symbolic block identities are exact. 000279 | The original v252 rng252 coupled fixture confirms(7) with relative error 000280 | 1.644e-16. These fixture values are not selected physical parameters. 000281 | The SM first-order control has A2=0; the PS result is not a global new 000282 | PS-gauging assumption. An independent source/mathematical review derived 000283 | the same96 blocks and spectral defects and separately executed the original 000284 | coupled fixture. A second review checked(9)-(10),including parity signs. 000285 | 000286 | The concrete new action content is the forced nonlinear completion(1)-(8) 000287 | inside the EXISTING conditional PS route, and the explicit inverse 000288 | variational primitive/boundary action/backreaction(8a)-(8f) on the existing 000289 | Clifford field chart. These are distinct existing branches, not a newly 000290 | proved identification of their real structures, fields or quantum sources. 000291 | The general CCvS construction 000292 | and the old fermionic functor are existing mathematics. This result does 000293 | not claim a fundamental P1-to-S_adm derivation, physical scalar amplitude 000294 | selection, common physical generator,mirror decoupling or joint spectrum. 000295 | F1 and all original scoped results remain. No new model, physical field, 000296 | fitted coupling, Lean/Wolfram/fullsuite run or ledger/paper promotion. 000297 | 000298 | ORIGINAL SOURCES 000299 | verification/v251_first_order_sigma.py 000300 | verification/v252_full_finite_triple.py:63-118,170-214 000301 | verification/v254_inner_fluctuations.py:1-38,58-76,125-150 000302 | documents/tfpt_research_contracts/sections/002-source.tex:188-227 000303 | documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex:302-343 000304 | documents/archive--paper-latex--tfpt-31/sections/001-section-reading-guide-and-claim-map.tex:205-220 000305 | documents/archive--paper-latex--tfpt-31/sections/013-subsection-rg-map-for-compiler-outputs.tex:247-266 000306 | experiments/theory-contracts/seam-collar-multifield-20261016/PROOF.txt:59-128 000307 | experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/NORMAL-KINETIC-PAIRING.txt:37-94 000308 | 000309 | PRIMARY MATHEMATICAL CONTEXT 000310 | Chamseddine,Connes,van Suijlekom, arXiv:1304.7583v2,sectionIII, 000311 | particularly the quadratic fluctuation and gauge covariance lemma. 000312 | https://arxiv.org/pdf/1304.7583 000313 | Chamseddine,Connes,Marcolli,hep-th/0610241,Introduction and Proposition4.1: 000314 | bosonic spectral trace versus additional fermion rule,totalKO2 pairing. 000315 | https://arxiv.org/pdf/hep-th/0610241 000316 | Vainberg-Tonti variational homotopy context: Voicu,Krupka, 000317 | Canonical variational completion of differential equations,arXiv:1406.6646. 000318 | https://arxiv.org/abs/1406.6646 000319 | The linear Grassmann calculation(8a) is explicitly derived above; this 000320 | reference is not a physical TFPT source identification.