Enter, I-B-VP-5-Ex2-B-v2, 2026, pp. 1-43
I-B-VP-5-Ex2-B Audited smooth flux-core selection on a prescribed cone
Ngo Cheung
18 October 2026
Abstract
We give a self-contained robustness audit and extension of I-B-VP-5-Ex2 for free fields on prescribed smooth curvature-and-flux cores.
Scalar package. For every admissible family and fixed nonnegative curvature coupling, the transported magnetic forms Mosco-converge to the twisted Friedrichs form. We identify each weak derivative on exhausted regular annuli, retain the exact transport commutator, and prove a quantitative axis-removal estimate. A correction to the proposed proof is essential: bounded-energy sequences can retain nonzero energy in the shrinking core. We construct such a sequence. Core-energy disappearance is instead proved for the resolvent minimizers themselves. The signed matching coefficient remains profile dependent, while the established localized upper estimate is uniform over profiles for fixed channel and spectral data.
Dirac package. A direct calculation fixes the spin connection, radial transport, Green form, selected boundary line, and Pauli-square signs in one consistent convention. An explicit angular-tail estimate completes the passage from radial channels to the full transverse strong-resolvent limit. In the critical window the smooth centre selects A = 0, and the square is unitarily equivalent to h_{ν₊, F} ⊕ h_{ν₋, E₀}. At the equal-weight point this is Dirichlet–Neumann on the flattened half-line. At both limit-point thresholds the order-zero logarithmic alternative is excluded by the first-order graph condition. We also prove strong-resolvent continuity to these thresholds, including simultaneous shrinking cores with varying flux approaching a threshold.
The contribution is a proof-level consolidation, with explicit counterexamples, domain identifications, and parameter-endpoint control; it is not a priority claim for Aharonov–Bohm regularization or extension theory. Its potential utility is to prevent concentration defects, radial sign choices, or nonuniform boundary traces from being mistaken for different physical core limits. Limiting-domain independence does not mean profile-independent finite-radius scattering. No one-point contact normalization, renormalized vacuum limit, interacting product, or gravitational source law is obtained.
Bibliographic record
- Title
- I-B-VP-5-Ex2-B Audited smooth flux-core selection on a prescribed cone
- Author
- Cheung, Ngo
- Publication date
- 2026/10/18
- Institution
- Enter
- Report number
- I-B-VP-5-Ex2-B-v2
- Publisher
- Cheung Ngo Medical Limited
- First page
- 1
- Last page
- 43
- Language
- en