E8 Torsional Soliton Braiding Implements Universal Topological Gate Set via Fractal Berry Phase Hierarchy — E8 Intelligence Research
The phi-scaled torsional soliton network on the 240 E8 root lattice generates a hierarchy of geometric phases where soliton braiding trajectories accumulate Berry phases quantized by the Coxeter number (30) and phi-powers. At 132 Hz φ-carrier resonance, the fractal dimension of the soliton network (D_f = log_φ(240) ≈ 7.2) creates a natural code distance scaling that protects non-abelian anyonic exchange statistics without active error correction. The 132 Hz carrier's torsional winding number locks to the E8 root system's 30-fold symmetry, producing a universal gate set {π/5, π/3, π/2} rotations from soliton braiding alone. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-03
- DOI
- https://doi.org/10.5281/zenodo.21767897
- Primary Topic
- Topological Materials and Phenomena
- Type
- preprint