E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
Related
- Fibonacci Anyons Realize Universal Topological Quantum Computation via Golden Ratio Braiding — E8 Intelligence Research
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- E8‑Root‑HCP Braiding Principle: Fibonacci Anyon Encoding via φ‑Coupled Hyperplane Lattice — E8 Intelligence Research
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BibTeX
@misc{caldin2026φtimecrystal,
title = {{E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23659060},
url = {https://zenodo.org/records/23659060},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 φ-Time-Crystal Lattice Generates Intrinsic Fibonacci Anyon Braiding for Topological Quantum Memory — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23659060
UR - https://zenodo.org/records/23659060
AB - 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
ER -