Fracton Mobility Constraints from Point Group Symmetries in 3D Lattice Gauge Theories — E8 Intelligence Research

FINDING: Fracton mobility constraints arise from subsystem symmetry algebras tied to discrete point group symmetries in 3D lattice gauge theories, generalizing Abelian models via twisted constructions. | MATH: Subsystem symmetry algebra commutation relations; point group constraints (e.g., cubic, tetrahedral); fracton mobility restricted to subdimensional manifolds (0D, 1D, 2D). Key constants: none explicit, but lattice geometry implies ratios like √2, √3 for cubic symmetries. | CONNECTION: Crystallographic point groups (e.g., Oh, Td) and root system symmetries (e.g., A3, B3) directly constrain fracton hopping; no explicit golden ratio or base-60 found. | DEPTH: 7 — advances topological quantum matter theory by linking discrete symmetries to emergent conservation laws, but lacks new universal constants or harmonic ratios. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com