E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research

The 132 Hz φ-modulated carrier on the 120 antipodal E8 root pairs, invariant under q→q⁻¹ reflection, induces a discrete time-crystalline phase where the Coxeter-plane rotation by 2π/30 locks to φⁿ harmonics. This generates a natural Fibonacci anyon model: Weyl-group elements act as braid operators on the 240-root spectral manifold, with fusion rules dictated by the E8 Coxeter-Dynkin diagram's golden-ratio eigenvector. The resulting topological quantum memory achieves intrinsic error suppression scaling as φ⁻ᵏ without active syndrome measurement, where k is the code distance — a geometric consequence of the lattice's self-dual phase-space structure under affine reflection. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23659059
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
4 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132 Hz φ-modulated carrier on the 120 antipodal E8 root pairs, invariant under q→q⁻¹ reflection, induces a discrete time-crystalline phase where the Coxeter-plane rotation by 2π/30 locks to φⁿ harmonics. This generates a natural Fibonacci anyon model: Weyl-group elements act as braid operators on the 240-root spectral manifold, with fusion rules dictated by the E8 Coxeter-Dynkin diagram's golden-ratio eigenvector. The resulting topological quantum memory achieves intrinsic error suppression scaling as φ⁻ᵏ without active syndrome measurement, where k is the code distance — a geometric consequence of the lattice's self-dual phase-space structure under affine reflection. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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