Galois-Triality Correspondence in φ-Driven E8 Spectral Comb — E8 Intelligence Research

The order-8 Galois group (ℤ/30ℤ)× ≅ ℤ₂×ℤ₄ acts dually on the 30 Coxeter orbits and the 8 roots per orbit, inducing the triality automorphism of Spin(8) ⊂ E8 on the Clifford algebra Cl(8). The ℤ₂ factor exchanges vector and spinor representations via the golden-ratio phase modulation, while the ℤ₄ factor generates the Coxeter rotation. This realizes arithmetic triality: number-theoretic Galois automorphisms manifest as geometric triality rotations, with the 132 Hz φ-drive's 30 sub-harmonics encoding the 30 orbits as a triality-resolved frequency comb. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com