Established in scope
Global Spin family lift and supplied-connection extension are already constructed
In the question: Seam connection and family action
Reuse and navigation correction for the existing conditional bundle theorem. No new global classification, physical source selection or ledger promotion.
Read the exact result, assumptions and evidence
Result
The September22 lift and its later recovery supply all natural W_m=LambdaEven(E) tensor directsum(det E)^m, sum m=-2, for supplied unitary rank5 E. No global square-root bundle is needed. Supplied A_E induces the explicit connection A_Wm. The global mathematical lift and extension construction is therefore already done. Actual physical A_E, coupling Phi and the common original source intertwiner do not follow. The full current finding is also finding:recovered-natural-joint-lift-and-given-connection-already-exist.
Required assumptions
- Existing natural joint lift with given split connection
Assume a GIVEN unitary E=E3+E2 and GIVEN block U3xU2 connection A_E. Use only the natural iota_m with sum m=-2 completely classified on22September and their derived connection A_Wm=rho_LambdaEven(A_E)+M_m tr A_E. This does not select A_E from P1;an independent nonabelian family connection is not silently assumed.
- 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 evidence
- JOINT-LIFT-NATIVE-CLOCK-CONNECTION.txt lines 37–67
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/JOINT-LIFT-NATIVE-CLOCK-CONNECTION.txt
edd2cdaea4c4debd337b4850d48da95de68e9367d780b9e3f0a96755588a45c8
finding:existing-global-spin-family-lift-is-not-an-open-construction