Established in scope
Whole metric connection and actual normal torsion transport
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact class calculation on actual original Spin4 assignments, including J and the reason for first-order preservation. No new primitive field measure, no16 physical null modes, no product for arbitrary S, no instantaneous Calderon projector from B_r. Both boundaries, reference and entire original state/time map remain. The normal Euclidean split is not a completed physical Htrpos.
Read the exact result, assumptions and evidence
Result
The entire real24 metric connection fiber has an8 dimensional Dirac image. Formal symmetry imposes4 constraints, leaving20 connection directions and exactly4 visible axial directions W=3i S.gamma.gamma5/4, with a16 dimensional invisible kernel. W commutes with the represented finite algebra, not with the full Clifford action, whose irreducible complex commutant is scalar. Actual collar decomposition is D=-i gamma4(partial_r+A_r+B_r), B_r=B0-3S4 gamma5/4 selfadjoint and A_r=-3S_i gamma4 gammai gamma5/4 skew Hermitian. Uprime=-A_r U transports the connection with all tangential U derivatives; a constant product requires partial_r B+[A,B]=0.
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 metric connection fiber and original collar operator
Real metric K_muab in the existing Spin4 product chart with the exact original Hermitian gammas, normal4, entire Phi and formal symmetry. Fixed Levi-Civita Clifford compatibility differs from a moving metric tangent connection with torsion. The visible Dirac image selects no primitive connection measure. The entire domain, reference, J, deck and supplied state/time map are transported.
Original evidence
- HISTORICAL-CONNECTION-AND-WHOLE-CURRENT-SOURCE.txt lines 1–92
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
- actual_product_pairing.py lines 1–40
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/craig-original-source-bridge-20261103/actual_product_pairing.py
6acaa9bc2c7a157a30730d7d6de75e944266afbf69b18a31c6fba654b8bd1c04
finding:torsion20261104d-metric-connection-fiber-and-actual-collar-map