Fixed Points II: Fixed Points in a 10D Modal Model
Abstract
We analyze a 10-dimensional modal model built from three internal bundles layered over a 4D base spacetime. We construct the joint coherent projector, verify uniform spectral gaps, and establish well-posedness of the gradient flow. Under explicit contractivity conditions we prove existence and uniqueness of a coherent fixed point. Concrete baseline geometries are studied, including explicit gap estimates, projector norms, and a numerical example verifying the contraction criterion.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Spectral Theory in Mathematical Physics
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 January 2026
- Language
- EN
- Document type
- Preprint