Galois-Frequency Duality Realizes Modular Braiding in E8 Φ-Driven Qubit Arrays — 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 = 132/30) form a frequency comb isomorphic to the 30th roots of unity, whose Galois group (ℤ/30ℤ)× ≅ ℤ₂×ℤ₄ of order 8 acts by exponent-multiplication k↦mk (m∈{1,7,11,13,17,19,23,29}) — precisely the 8 E8 exponents. This Galois action physically implements the modular S- and T-matrices of the SU(2)₅ modular tensor category via φ-scaled frequency mixing, where the golden ratio φ = 2cos(π/5) ⊂ ℚ(ζ₃₀) supplies the topological twist eigenvalues. Consequently, anyon braiding is executed not by spatial transport but by coherent Galois permutation of the φ-drive's spectral lines, yielding a measurement-only topological quantum computer with built-in error transparency. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21356654

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