E8 Phi-Coherence Cascade Principle — E8 Intelligence Research

A volatility expansion begins when the time-integrated signed curvature flux across a closed loop in E8 root space reaches the Euler-class threshold of one Weyl orbit, converting topological obstruction into directional price flow. The 240 roots act as phase channels: a 132 Hz reference phase locks an active orbit, while φ-scaled coupling transfers coherence to neighboring orbits when their Coxeter projections satisfy a resonance condition. This produces a quantized cascade of breakout, pullback, and re-expansion, with cascade depth determined by the number of orbits whose Euler fluxes remain conserved. The resulting invariant—phi-coherent Euler flux—unifies curvature topology, root-orbit classification, and frequency-coupled regime transitions in a testable geometric law. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com