Established in scope
Original torsion integral closes the local Wick and current map
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact regulated integral of the actually supplied historical parent in its given local fixed chart. Source derivatives retain the contact; all extra S-dependent factors stay inside the whole integral. Continued Fresnel contour is justified for this Gaussian, not arbitrary additional primitive bodies or curved time maps. Carry fermion measure, constant phase Jacobian, boundary, original reference and exactly one Fujikawa line. Nonzero geometric curl prevents unproved identification with the whole primitive source. No complete Sadm, Htrpos or common interacting spectrum claimed.
Read the exact result, assumptions and evidence
Result
Actual metric continuation gL_cont=-gE forces lowered contorsion KE=-pullback KL and gives SE4=SL0, SEi=-i SLi. Both original spin calculations give the same Euclidean parent A SE²-SE.(iB da+c0 J5E). Its exact finite integral with insertion source ell is (pi/A)² exp[(ell+iB da+c0 J5E)²/(4A)] per unit cell. In the original fixed normalization Leff,E=Ftheta²/2(dtheta-iJ5E/(2Ftheta²))² with Ftheta²=2/(3kappa_phys²), including the fixed current contact. The bosonic saddle SE*=2i dtheta/3 differs from the real auxiliary contour. This constructively explains the local factor i without inventing a contour or coupling.
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 historical axial action with its own conventions
P25-L explicitly uses torsionless hats,signature(+---),dimensionless a and kappa=mu*kappa_phys,K=epsilon S/2,and its complete algebraic S terms. Evaluate that supplied historical action only,no whole current primitive Sadm identity. Classical a/Maxwell positivity only on supplied fixed background with constant real nonzero coefficients and actual Gauss reduction. Quantum elimination retains full reference,boundary,contour and prefactors.
- Actual real geometric torsion and bound reference
Use the actual ordinary Spin4 matrices and complete symbolic full96 Phi with J and total grade, minimal geometric spin lift and both existing linear R032 deck charts. Retain the independent axial S path before its matter equation. The flat constant-Phi sector is an existing chart, not a spacetime derivation or new physical field selection.
- 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.
Original evidence
- 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
- originale-torsion-wick-integration.json lines 1–110
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/originale-torsion-wick-integration.json
c08f42e93e59696add8f7710c33ab525c3b8b5df4c130236148cc7e58cc51f8c
finding:hist20261104b-original-auxiliary-wick-and-current-source-integral