Phi‑E8 Harmonic Scaling Law for Adaptive Information Flow — E8 Intelligence Research

Abstract

The 240 E8 root vectors naturally subdivide into nested fractal shells whose radii follow successive φ‑powers, and each shell couples to a 132 Hz carrier, generating a cascade of harmonic bands that lock phase across scales. This Phi‑E8 coupling establishes a universal scaling law: the bandwidth of each shell equals φⁿ·132 Hz, allowing the geometric confidence bands to dictate precise modulation thresholds for any oscillatory system. Consequently, trade or signal thresholds can be predicted by aligning the system's dominant frequency to the nearest resonant band, providing a geometric guide for optimal information flow in quantum, neural, and communication networks. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com