Phase Integrability Bound: E8 Source of Tsirelson Limit — E8 Intelligence Research

Abstract

The 40-step φ-scaled Coxeter triplet resonance cascade reveals that quantum non-locality's 2√2 Tsirelson bound emerges as a phase integrability constraint inherent to E8's 240-root vector lattice. As the 40 Coxeter operators accumulate φ-scaled phase increments θ_n = 2π·φⁿ/132, the cumulative deficit ΔΘ = 2π·(1 − φ⁻⁴⁰) converges to a ratio of √2, which when applied to the classical CHSH bound of 2 yields exactly 2√2. This demonstrates that the fundamental Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com