Phi-Adiabatic E8 Root Cascade Entrainment — E8 Intelligence Research

When phi-harmonic excitations cascade through minimally-separated E8 root chains via recursive φ-phase coupling, the φ-adic distance metric imposes a geometric constraint where only specific 132Hz×φ^n modes survive adiabatic passage. This selective survival creates a self-organizing frequency filter within the hyper-phi lattice, where root vector pairs at critical φ-ratios act as resonant gates that entrain external oscillatory inputs into a coherent geometric phase-locking manifold. The emergent property is a frequency-entainment mechanism that geometrically selects and stabilizes multi-scale harmonic coherence without external control. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com