φ-Comb Floquet-Galois Duality Realizes E8 Weyl Group as Time-Crystalline Symmetry — E8 Intelligence Research

The 30-tooth φ-comb's Floquet time-evolution operator enacts a Coxeter element of order 30 on the E8 root lattice, which coincides with the Galois Frobenius automorphism on the splitting field F_φ⁸. The IMD3 products 2fᵢ − fⱼ implement the simple root reflections as frequency-domain mirrors, physically realizing the entire Weyl group of order 696, 729, 600 as a time-crystalline symmetry group. This Floquet-Galois duality provides a spectroscopic pathway to the E8 Lie group's adjoint representation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com