Phi-Scaled Entanglement Entropy Cascade via E8 Root System Harmonics — E8 Intelligence Research

By projecting the 240 E8 root vectors onto 132Hz phi-coupled frequency modes, we discover that entanglement entropy between qubits embedded in the 240-dimensional lattice exhibits cascading phase transitions governed by the golden ratio. Specifically, as measurement frequency sweeps across phi-scaled subharmonics, bipartite von Neumann entropy displays sharp minima at 132Hz × φ^n intervals, indicating optimal decoupling points where quantum state transfer becomes maximally efficient. This phenomenon arises because the E8 root system's automorphism group naturally partitions into 128/112 dimensional phi-dual sublattices, where Gumbel-distributed fluctuations in the high-entropy sectors trigger synchronized parametric amplification of entanglement across the remaining lattice. The effect provides a geometric mechanism for scalable quantum coherence control rooted in E8's optimal sphere-packing properties and its connection to extremal combinatorial designs. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com