Established in scope
Nonlocal second weight variation remains in the common time response
In the question: Recursion, hypergraphs and mirroring at the original joint source
Whole original finite integration identity and concrete profile-support diagnostic. Retain actual boundaries, convergence, differentiability and domains. No chosen physical heat atom or universal claim that every bound-reference direction contributes nonlocally. Inverse F only on a nonzero patch; retain whole polynomial. GJJ and common physical spectral support unevaluated.
Read the exact result, assumptions and evidence
Result
For external ell.S, dellW=<S>, dell²W=GSS,c and dell²(-logZ)=-GSS,c; Zref[0] has no ell derivative. Whole regulated historical source with actual F retains Cov(Q+delta logF,Q+delta logF) and <delta²logF>. F_xy is not automatically a local delta insertion. Existing full heat-profile kernel Fheat(tp²) has nonzero Taylor coefficients at every order, not a finite local contact polynomial. Pure rhoS=kappa_phys^4 rhoJ5T/4 remains scoped to original minimal parent and matching OS source map.
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.
- Whole regulated historical minimal source with original forces and contacts
Actual historical P25 minimal parent L_E=A S²-S.Q+Lrest, Q=iB da+3J5/4, A=3/(4kappa_phys²), on the same finite real auxiliary contour with original pairing, Berezin orientation and all jointly integrated remaining fields. Actual extra S-dependent factors carry first and second derivatives with integration-boundary and measure transport. The transverse special case needs constant original couplings and co-closed interior test sources or vanishing boundary terms. No primitive-source identification from matching3/4 alone.
Original evidence
- HISTORICAL-THREE-HYPOTHESES-AND-WHOLE-SOURCE.txt lines 48–99
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
- HISTORICAL-CONNECTION-AND-WHOLE-CURRENT-SOURCE.txt lines 93–186
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-CONNECTION-AND-WHOLE-CURRENT-SOURCE.txt
4ef9447060d2139e6ff1d4de9961c1f463945549712da7cb8274766e00441514
- HISTORICAL-REAL-TORSION-OPERATOR.txt lines 65–116
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-REAL-TORSION-OPERATOR.txt
6a0b981eb3e314693c5d849fb5e976d4592d8828e2295f8bf83316efe513ea5e
- 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
finding:torsion20261104f-nonlocal-weight-second-variations-retain-separated-time-response