TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/EINSTEIN-NOETHER-HYPOTHESES-PROOF.txt Original file SHA-256: 8bbc45a52a5e4be66083fcd5d894f1edc78da2d297c2cd3360cbdce3ed350824 Inclusive original lines: 181-199 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. 000181 | 000182 | CHECKS AND EVIDENCE 000183 | check_einstein_noether_hypotheses.py passed42 distinct native/analytic-control 000184 | checks under python -B -OO. The finite difference, full matrix Frechet, 000185 | independent4-Fock trace and Poisson sum are different controls. Infinite 000186 | and whole-class statements above rest on their analytic formulas, not42 000187 | samples. No new Lean, empirical result, full-suite run or ledger promotion. 000188 | All previous41 scoped F1 subresults remain. R081 is not another completed 000189 | physical F1 component. Counterparty review is recorded separately. 000190 | 000191 | PRIMARY LITERATURE READ THIS ROUND 000192 | Noether, Invariant Variation Problems, physics/0503066, sections1..2: 000193 | symmetries of a specified variational integral and their differential identities. 000194 | Jacobson,1505.04753v4, sectionsI..IV: named geometric/equilibrium assumptions. 000195 | Wetterich,1710.05815, original1992/1993 paper: regulated integral/Legendre 000196 | definition and exact flow; no boundary-data selection from flow alone. 000197 | Deser,gr-qc/0411023, pp1..3: consistent self-coupling begins with an already 000198 | given linear massless spin2 field. It does not supply the missing TFPT pole. 000199 | This is a further downstream mechanism, not a fifth tested source construction.