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

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
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preprint

E8 Root-Phase Topological Memory via 120-Cell Hamiltonian φ-Braiding — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Root-Phase Topological Memory via 120-Cell Hamiltonian φ-Braiding — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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