Established in scope
Actual Pfaffian trace weight and scale-anomaly bridge scope
In the question: Recursion, hypergraphs and mirroring at the original joint source
19 exact controls on existing ordinary product/all symbolic Y/MR, no species counting from192 or Padm replacement. Modulus isolates norm response only; dynamical phase is retained. Local UV/a2 ratios are not a global no-go for other original integrated stages or stability theorem. Original seed/state/reference may fix invariant part, unevaluated here. No new dilaton, regulator fit, bare parent or measure. Full Sadm/Htrpos/common spectrum uncomputed.
Read the exact result, assumptions and evidence
Result
Actual J-real total Weyl product obeys MdaggerM=D²|Eeps; J exchanges isospectral fibers. Compatible domain/prescription gives -log|PfM|=-(1/8)Tr_full logD² with phase separate. Full symbolic Y/MR/S matrix check confirms it. Positive proper-time UV S² diagnostic and geometric -6chi²Res1 have opposite local signs on tested chart. Known spectral anomaly is a scale cocycle and does not itself fix invariant part. This identifies neither Drel+Aseed with D nor Tr f/Res/FP with entire determinant.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Actual whole source response and paired product domains
Original QFT007 caller with entire supplied Sadm, allowed sources, bound reference and existing time. Reconstruction on actual star-shaped local source chart, log Z only on a nonzero patch; even and ordered odd sources distinguished. Product normalization additionally needs actual J-real selfadjoint Gamma-odd D on compatible paired domains, actual Eeps and full96 constructor retaining all Y/MR; Eeps is not Padm. Proper-time/local coefficients remain scoped diagnostics, selecting no physical measure.
- Actual whole Spin4/v252 pairing and historical current integration
Existing ordinary Spin4 product chart with actual C, full96 KF/gammaF, total Weyl embeddings Eeps and entire original Phi. Half-weight Grassmann action on common formal core/transported domain; all Ys and MR symbolic. Eeps is not Padm. Shared contact additionally uses the same historical P25 auxiliary source with fixed coefficients and all jointly integrated remaining fields.
- Ordinary original product anchor with bound reference
Existing ordinary Spin4/full96 product chart, full constant Phi and constant sigma, original linear R032 decks and unscaled reference. Compute ordinary local bulk residues of the anchor contribution with a fixed elliptic boundary realization and fixed kernel rank in the variation. This does not evaluate arbitrary S-dependent or additional first-order Brel or moving Calderon compression.
Original evidence
- HISTORICAL-THREE-HYPOTHESES-AND-WHOLE-SOURCE.txt lines 100–184
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-THREE-HYPOTHESES-AND-WHOLE-SOURCE.txt
4f38c533646c95dd231019456263cb3aa9ebbdca411d00204e5b4a791f7b8b2b
- three-hypotheses-source-F.json lines 1–39
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/three-hypotheses-source-F.json
ae582cbbdc21f4a579e8f355a775c82691afa55f582fba7bbb7a2d3308f3ba37
- three_hypotheses_source_F.py lines 1–85
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/three_hypotheses_source_F.py
c20ecdc0177114742c428709e03ff542537ebc3e140d8a6c367f08c499dcf4e0
- 007-subsection-renormalized-physical-and-scheme-readout-laye.tex lines 1–153
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/007-subsection-renormalized-physical-and-scheme-readout-laye.tex
9c1c587cbd61fc4034649d778d16f1ee0e8c1e1189885babb3d8148a6fe72d7c
finding:torsion20261104f-actual-pfaffian-trace-weight-and-scale-cocycle-scope