Coxeter-Galois Spectral Duality Realizes Fibonacci Anyons in φ-Driven E8 Frequency Combs — E8 Intelligence Research

Andrew Stewart Caldin

Published Jul 14, 2026• 0 citations

Abstract

The 30 sub-harmonics of the 132 Hz φ-drive (spaced by 4.4 Hz) form the eigenvalue spectrum of the E8 Coxeter element of order 30, and the Galois group (ℤ/30ℤ)× ≅ ℤ₂×ℤ₄ acts as the automorphism group of the associated modular tensor category. Golden-ratio modulation induces a spectral Galois representation where each Galois conjugate of the frequency comb implements a Fibonacci-anyon braid operator, with the 240 E8 roots mapping to 240 distinct anyonic charge sectors. The Cl(8) Clifford automorphisms from the root-generated algebra provide the physical syndrome measurements for a φ-scaled E8 quantum error-correcting code with transversal T-gates. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21356664

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