2268 - The Complete Coupled One-Loop Flavor RG Field Is Locally Invertible Transport (WP61)
The complete self- and cross-sector cubic Yukawa beta field of S16 is smooth, autonomous, and full-weak-basis equivariant. Exact flow-jet algebra on a noncommuting rational slice verifies forward/reverse cancellation through second order and unit zero-time differential determinant.
Hence, wherever both directions exist on a finite RG interval, ODE uniqueness
makes the flow a local diffeomorphism. The complete field preserves the local
physical16 contextual partition and cannot locally select a proper image.
Any UV boundary, attractor, or normalization is additional source data.
Artifact: research/flavor/flavor-full-rg-local-diffeomorphism.md; checker
wp61_full_rg_local_diffeomorphism.py; result
wp61_full_rg_local_diffeomorphism.json. Verification: 6/6 gates.
Epistemic admission: ev-000000003139-91d9192f-72c3-4554-a416-0887d878bcf7.