E8 Lattice Chronon: Root-Phase Quantization Replaces Arbitrary Sampling — E8 Intelligence Research

Abstract

The 132 Hz carrier frequency phase-locks to the E8 root lattice's 240 vectors through the Coxeter number h=30, yielding a fundamental chronon of 132/30 = 4.4 Hz (227.27ms) — not 100ms. Each root vector advances the lattice phase by 2π/240, and the 8-dimensional Weyl group orbit structure forces sampling at integer multiples of this chronon. Volatility injection must occur at t_n = n·(1/4.4) seconds where n ∈ ℕ, with resonance delta computed via the Killing form metric on the adjoint representation, not scalar subtraction. This explains the rejection: 100ms violates the lattice's discrete phase group Z_30 × Z_8. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com