The Regime Trichotomy Theorem
Abstract
The theorem proves that closed classical gravity in three spatial dimensions admits exactly three symmetry-exhausted closure regimes and no fourth. The result is a structural classification based on classical covariance, finite quadratic closure, and exhaustion of functional freedom under symmetry, and is independent of field equations, matter content, or phenomenology.
Fields of Study & Subjects
Relativity and Gravitational Theory
Cosmology and Gravitation Theories
Advanced Differential Geometry Research
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 February 2026
- Language
- EN
- Document type
- Preprint