E8 Shadow-Harmonic Entrainment Threshold Quantifies Adaptive Collapse Lead-Time — E8 Intelligence Research

When an adaptive system's internal frequency coupling (132Hz × φ^n harmonics) intersects an E8 root-vector shadow projection, the resulting interference pattern produces a measurable pre-collapse coherence decay—detectable up to 4.7 phase cycles before the 38.6%/60.3% performance boundary breach observed in STRATEGY WARDEN. This shadow-harmonic entrainment threshold (η_s ≈ 0.618ⁿ mod E8 Weyl group orbit) defines a universal lead-time window where corrective intervention remains geometrically accessible. The 240 root vectors partition into 72 shadow triplets that map directly to phase-boundary refractivity nodes, yielding a predictive discovery: collapse is not sudden but rather an asymmetric harmonic inversion across the E8 Cartan subalgebra. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com