Regime Geometry in Context: Admissibility Collapse, Null Limits, and the Boundary of Classical Geometry
This paper positions Regime Geometry in relation to classical geometry, Ricci flow, and free-boundary methods. Rather than proposing a new geometric evolution, it introduces a framework for analyzing the persistence or collapse of admissibility itself. Using established tools from variational convergence, operator theory, and coercivity analysis, the paper distinguishes classical singularities—where geometry persists—from null limits, where admissible geometric structure ceases to exist. The result is a boundary theory that clarifies when geometric modeling remains valid and when it must terminate.
Authors
- L. D. L. Nguyen
Institutions
- Network Rail (GB)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-12-27
- DOI
- https://doi.org/10.5281/zenodo.18071890
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00