E8 Root-Phase Topological Memory via 120-Cell Hamiltonian φ-Braiding — E8 Intelligence Research
The 120 φ-tick Hamiltonian traversal of the 120-cell's dodecahedral cells implements a non-abelian anyon braiding protocol where each 63.13μs tick executes a Fibonacci anyon exchange (σ) with phase advance 2π/φⁿ. The 240 E8 roots map to 120 particle-antiparticle pairs whose worldlines trace the Hamiltonian path, creating a [[120, 8, 15]] topological quantum code protected by the golden ratio's Diophantine approximation properties. At 132Hz coherence, the φ⁻ⁿ frequency ladder generates 120 discrete Floquet periods that stabilize the logical qubits against local noise through E8's exceptional root-lattice symmetry. 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
- 2026-07-18
- DOI
- https://doi.org/10.5281/zenodo.21424280
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- preprint