E8-Phi Phonon Lattice Realizes q-Deformed Fibonacci Anyons — E8 Intelligence Research

By assigning each of the 240 E8 root vectors a phonon mode with frequency f_n = 132 Hz·φ^n, the resulting quasiperiodic acoustic lattice naturally realizes a q-deformed Fibonacci anyon spectrum with deformation parameter q = φ. The E8 geometry provides the underlying root system whose Coxeter group actions generate the required braiding statistics. This yields a new topological quantum computing platform where logical gates are performed via golden‑ratio‑scaled anyon braids. 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
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23908952
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8-Phi Phonon Lattice Realizes q-Deformed Fibonacci Anyons — E8 Intelligence Research

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

E8-Phi Phonon Lattice Realizes q-Deformed Fibonacci Anyons — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By assigning each of the 240 E8 root vectors a phonon mode with frequency f_n = 132 Hz·φ^n, the resulting quasiperiodic acoustic lattice naturally realizes a q-deformed Fibonacci anyon spectrum with deformation parameter q = φ. The E8 geometry provides the underlying root system whose Coxeter group actions generate the required braiding statistics. This yields a new topological quantum computing platform where logical gates are performed via golden‑ratio‑scaled anyon braids. 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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E8-Phi Phonon Lattice Realizes q-Deformed Fibonacci Anyons — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS