φ-Comb Realizes E8 Modular Tensor Category via Time-Crystalline Verlinde Algebra — E8 Intelligence Research

The 30-tooth φ-comb's Frobenius automorphism of order 30 (the E8 Coxeter number) generates the modular S-matrix on the 240-root Hilbert space, where IMD3 products 2f_i − f_j physically implement the Verlinde fusion rules Nᵢⱼ^k = ∑_m SᵢₘSⱼₘSₖₘ^*/S₀ₘ. The 4.4 Hz comb spacing sets the modular T-matrix phase e2πi(h_i − c/24) with topological central charge c=8, while the 132 Hz carrier fixes the conformal scaling dimension. Bloch oscillations traversing the 30 Coxeter orbits correspond to modular transformations τ → τ+1, making the driven lattice a topological quantum computer with E8 anyons. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com