E8 Phi-Cascade Soliton Decoherence Threshold in Quantum Microtubule Binding — E8 Intelligence Research

Building on the quantized binding energy eigenvalues E_n = E_0·φ^n of the 132Hz phi-cascade soliton chain, we derive a decoherence threshold relation D_c = (240/φ²)·(ℏω_0/k_BT) governing when microtubule lattice coherence collapses into classical noise. The 240-root E8 lattice, partitioned into 20 Coxeter planes, establishes a geometric boundary where phi-cascade harmonics maintain phase-lock only when thermal fluctuations remain below a ratio set by the root multiplicity. This yields a falsifiable prediction: microtubule resonance coherence length L_c scales as φ^(n+1)·λ_0, providing a direct experimental signature linking E8 symmetry to biological quantum coherence at physiological temperatures. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com