Established in scope
Whole torsion-current response with mixed reference contacts
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact finite original auxiliary/Berezin identities retaining zeros and all external coefficients; no physical four-mode substitute. Propagating transverse singularities after separating contacts and kinematics come from the entire coupled current response and can include composite modes. G_JJ is uncomputed and physical spectral interpretation needs actual time reconstruction. Differentiability, convergence and actual integration-boundary/domain terms remain assumptions. No primitive pairing/source identity, complete action, positivity or physical generator proved.
Read the exact result, assumptions and evidence
Result
In the whole regulated historical minimal parent G_SS,c=delta/(2A)+G_QQ,c/(4A²), with jointly integrated Q=iB da+3J5/4 and all phase/current mixtures. For constant couplings and co-closed interior tests G_STST,c=2kappa_phys² P_T/3+kappa_phys^4 G_J5T J5T,c/4. An actual extra S weight F obeys unnormalized2A Z_x=I[Q_x F+F_x] and4A² Z_xy=2A delta_xy Z+I[Q_x Q_y F+Q_x F_y+F_x Q_y+F_xy]. Connected subtraction retains all reference forces and the second derivative contact without dividing by F. Integrated fermions cannot simultaneously be counted again as an explicit current.
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.
- Original local P25 auxiliary action and full Wick transport
The fully read historical P25 source supplies L=-A S²+B da.S-c0 S.J5 on its given local Lorentz chart, with A=3mu²/(4kappa²), B=lambda mu²/2 and derived c0=3/4. Test its actual regulated auxiliary integral with sources and prefactor and its metric/Hodge/spin transport. Simple theta normalization uses its fixed-coefficient sector with nonzero lambda. Assume no new vacuum or identity with the whole primitive Sadm.
- 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-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
- verbindung-und-ganze-quelle-D.json lines 1–104
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/verbindung-und-ganze-quelle-D.json
6e604cbb25ac061ab0710cae446f2e2e9781f882874762c5e50bb2cd816c260d
- HISTORICAL-TORSION-WICK-PARENT.txt lines 1–147
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-TORSION-WICK-PARENT.txt
14732bd23f5e530331d4178c8bd9cf4d3d9177b090227076ffa9d7f6b4b53b4b
finding:torsion20261104d-whole-current-response-keeps-reference-contacts