TFPT scientific source excerpt Original repository path: experiments/theory-contracts/recursive-mirrored-source-20261103/BEREZIN-INVERSE.txt Original file SHA-256: 8715fb914a5621c894463133820bcc84374fd6ee397cb6e9593cd9f13bce05a4 Inclusive original lines: 181-208 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 | documents/archive--tfpt-45--source_extracts--04_qft_source/sections/ 000183 | 002-section-closure-theorems-from-the-admissibility-complex.tex:12-104: 000184 | actual structural selectors, Hodge projector and spectral P_gap. 000185 | The parallel harmonic determinant line at:240-244 concerns SU(3)_F; 000186 | it does not by itself trivialize every regulated fermion determinant line. 000187 | 000188 | documents/archive--tfpt-45--source_extracts--04_qft_source/sections/ 000189 | 007-subsection-renormalized-physical-and-scheme-readout-laye.tex:3-29: 000190 | original S_adm field integration and its source arguments. 000191 | 000192 | experiments/theory-contracts/original-local-source-variable-background-20261102/ 000193 | ADMISSIBLE-ACTION-DERIVATION-20261103.txt:175-218: 000194 | original bare body distinguished from integrated logZ; conditional 000195 | Berezin nondegeneracy and full contact law already established there. 000196 | The coefficient inverse here needs no new translation/contact law, 000197 | but does need the stated actual insertion/source pairing. 000198 | 000199 | REFERENCE-SOURCE-COMPLETION.txt:71-89 in the same contract: 000200 | paired Jacobian1; Majorana Pfaffian, orientation, reference and eta transport. 000201 | 000202 | PROJECTED-JOINT-SOURCE-GENERATOR-20261103.txt:98-159 in the same contract: 000203 | whole selector contacts and actual allowed composite words; no extra 000204 | selector between the charged letters of a single original word. 000205 | 000206 | No repository edits, new model, numerical spectrum, Lean run, ledger 000207 | promotion or physical closure. Formulae(1)-(7) are elementary finite 000208 | exterior algebra and linear duality, with their applicability stated above.