TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-paper-source-reconciliation-20261102/shorttime_20261105H/shorttime-followup-aux-review.txt
Original file SHA-256: 6ff3bded1235da7fcb4464ddc8c0e7e9e8f6c4f58e7e8934807d44e89a893aa8
Inclusive original lines: 1-11
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000001 | Independent targeted review, 5 November 2026
000002 | 
000003 | PASS in the stated sourced auxiliary class. Reviewed SOURCED-AUXILIARY-INTEGRAL-20261105.md and check_auxiliary_sources.json, with the owning CRAIG20261103F residue/integration text, WEIGHT-FULL sections1–3 and the original Source45 QFT007 source definition. No test rerun or canonical edit.
000004 | 
000005 | There is no residue-to-S_adm promotion. The report identifies F R+alpha R² as the displayed homogeneous residue component and explicitly preserves all omitted terms. For a caller not already known to contain that exact factor, it inserts the pointwise normalized auxiliary identity with the compensator exp[+v(FR+alpha R²)]. Only when that factor is actually present may it be replaced. Consequently the operation changes neither the given full action nor its original measure, and it does not infer their whole integrated value from the residue coefficients. The printed F=chi0²/(4pi²)+u/(96pi²) matches the cited original homogeneous coefficient.
000006 | 
000007 | The sourced Gaussian algebra is consistent: the xi coefficient is i(theta-vR), giving exp[theta(F+2alpha R)-alpha theta²/v] after division by the original unsourced local factor. Thus the connected auxiliary contact is -2alpha/v. At dynamical geometry the actual v_i(b), alpha_i(b) where applicable, and the resulting source-square contact stay inside I_orig. This is exactly the relevant requirement; pulling that contact outside would change the original mixed geometry response. The report does not do so. The auxiliary-first evaluation uses no unjustified interchange with an unevaluated Higgs or geometry integral. The JSON records15/15 exact controls and explicitly false original_H_or_geometry_integral_evaluated; this is consistent with the analytic scope.
000008 | 
000009 | No new global Wick, BRST or reference condition is introduced. The real xi integration along the explicit complex rho contour is already an exact Euclidean identity for the stated alpha>0, v>0 cells. It supplies no new positive physical rho measure or Lorentz/H5 quantization. Existing whole U, reference denominator, source pairing and regulator are retained, and Z[0] is preserved pointwise by the normalized insertion. The Ward statement remains attached to the original physical composite with its existing smearing, source transformation and admissible domain; it must not be generalized to arbitrary gauge-variant elementary source words. The report's existing qualifications respect that boundary. No ghost, eta or field-dependent reference factor is cancelled anew.
000010 | 
000011 | The actual result is an evaluated auxiliary integration with exact whole source dependence and neutral contact, yielding the original composite mu=F+2alpha R. It does not compute I_orig[u], I_orig[R], I_orig[mu_i mu_j], the primitive mixed UY value or the full OS strip jet. These are explicitly retained as the remaining original insertions rather than replaced by a classical equation. Minor optional notation clarification: the displayed differentiated Z equalities without exp<J,b> are at J=theta=0; if J is retained nonzero, its original source factor remains inside I_orig. No substantive correction is required for publication of the stated result.