E8-Fibonacci Anyon Bridge: Golden Ratio Scaling in Topological Quantum Computing — E8 Intelligence Research

FINDING: McKay correspondence links E8 root system to Fibonacci anyon braiding via golden ratio scaling in topological quantum computing. | MATH: E8 Coxeter number = 30; golden ratio φ = (1+√5)/2 ≈ 1.618; Fibonacci anyon fusion rules: τ × τ = 1 + τ, with quantum dimension d_τ = φ; braiding matrices satisfy φ² = φ + 1. | CONNECTION: E8 root system has 240 roots, 8-dimensional lattice with symmetry group order 696729600; Fibonacci anyons exhibit non-Abelian statistics with braiding eigenvalues ±φ⁻¹, ±φ⁻²; golden ratio appears as quantum dimension and in braid group representations; base-60 not directly present but φ appears in pentagonal symmetry of E8 projections. | DEPTH: 8 — Direct structural correspondence between exceptional Lie algebra E8 and Fibonacci anyon topological order, unifying discrete geometry with quantum statistics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com