Geometric Necessity from Causality and Confinement in Discrete SU(2) Substrates
Abstract
This paper is the third in the Gravitype series. It derives strong constraints on admissible large-scale geometric organization in discrete SU(2)-valued substrates from locality, bounded valence, finite propagation, and conditional confinement stability. Broad classes of candidate geometries are excluded. The surviving admissible equivalence class is characterized by three-dimensional organization with triadic connectivity. The analysis is structural and pre-physical; no continuum limit, metric structure, or physical interpretation is assumed.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Relativity and Gravitational Theory
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 February 2026
- Language
- EN
- Document type
- Preprint