TFPT scientific source excerpt Original repository path: experiments/theory-contracts/original-admissible-source-closure-20261025/DIRECT-DEFECT-CLOSURE.txt Original file SHA-256: 84a79c74da8b18387a3d2d8a9928e4a437a608120b52a46c7ede6392cf1128ff Inclusive original lines: 201-226 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. 000201 | Finally compare the ORIGINAL EM logarithmic response with 000202 | 000203 | -b log det_F[A_u(q) A(q)^(-1)]. (14) 000204 | 000205 | Equation (14), the actual SF coupling and (when the rest varies) (11) would 000206 | complete this particular seam-to-EM interface. They do not by themselves 000207 | derive the full interacting spacetime theory, geometry, instruments or all 000208 | other TFPT completion goals. Keep those goals and the E8 compiler intact. 000209 | 000210 | The older S_prim, its eta phase, the positive geometric marginal and the 000211 | formal exp(W_k[J]) are not already the same graded source functional. Their 000212 | actual relation is reviewed in FULL-SOURCE-ACTION-HISTORY.txt; no new generic 000213 | partition functional is introduced here to stand in for that derivation. 000214 | 000215 | Verification 000216 | -------------- 000217 | Independent analytic review: FOCK-DEFECT-REVIEW.txt. Primary mathematical 000218 | reference: Carey and Langmann, Loop groups, anyons and the Calogero-Sutherland 000219 | model, sections3.2-3.3, https://arxiv.org/html/math-ph/9805010v1 . 000220 | These standard source-Fock facts are reused; the historical operator and 000221 | response comparison is the contribution of this contract. 000222 | 000223 | check_direct_seam_defect.py controls exact mode signs, the relative determinant, 000224 | CAR word responses, energies and the reweighting normalization condition. 000225 | Its finite cyclic-shift countercontrol retains the compensating other edge, 000226 | so a finite determinant is never mistaken for a single chiral infinite sea.