Established in scope
Real torsion path retains original reference and nonzero curl response
In the question: Recursion, hypergraphs and mirroring at the original joint source
Source and matrix algebra with the entire supplied Phi, no new model selection. Exact flat heat jet at quadratic amplitude and all external momentum, independently checked by Bochner trace. No automatic application to Drel+Aseed, whole quantum covariance or complete generator. No intrinsic parity, new projector or physical pole calculation. Retain the original whole reference, Brel, domain and selector action.
Read the exact result, assumptions and evidence
Result
The actual geometric spin lift is 3i S.gamma.gamma5/4 and differs by i from the inner unitary phase on the total Weyl fiber. For W=i gamma.gamma5 dtheta/2 both original linear deck charts give delta Dref=W[theta_o], delta Drel=W[theta_e], without selecting physical parity. The full independent b=3S/4 heat response on the supplied flat constant-Phi chart is Tr_F exp(-tPhi²)/(2pi²t)[G|b_parallel|²+F|b_transverse|²], G=F-xFprime. Its quadratic a4 curl is -3dim(F)/(64pi²)|dS|_form². The actual matter equation retains dS=-kappa_phys² dJ5/2. Direct identification of the algebraic historical auxiliary action with the whole geometric residue caller is therefore not established; any original reference/selector cancellation must actually follow.
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 total grade and whole original pairing
The supplied collar has Gamma_tot=Z tensor gamma_F and E v=(Pplus v,i Pminus v),its full C0 companion and both oriented faces. The existing ordinary Spin4 branch has Gamma=gamma5 tensor gamma_F,the total Weyl fiber and actual J. All original Yukawa/Majorana matrices remain. Do not identify that branch with the primitive whole source.
- 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 evidence
- HISTORICAL-REAL-TORSION-OPERATOR.txt lines 1–150
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-REAL-TORSION-OPERATOR.txt
6a0b981eb3e314693c5d849fb5e976d4592d8828e2295f8bf83316efe513ea5e
- originaler-spinlift-und-waermekern.json lines 1–105
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/originaler-spinlift-und-waermekern.json
0abb6874e6128b320eab1591f306b2b71412aa1b66e9bb1a747f0cb3ca11410f
finding:hist20261104a-real-geometric-torsion-retains-reference-and-curl-response