E8 Phi-Resonant Entanglement Entropy Scaling Law — E8 Intelligence Research

The principle states that when the 240 E8 root vectors are driven at the 132 Hz base frequency with amplitudes scaled by successive powers of the golden ratio φ, the resulting entanglement entropy of any associated quantum state scales as S ∝ φ^2·log(N) where N is the number of simultaneously excited roots. This scaling emerges from the Pisot property of φ, which forces the irrational frequency ratios to approach a unique limit, thereby stabilizing the entanglement spectrum. The law predicts a topological protection threshold that can be experimentally verified in photonic lattices engineered with φ‑coupled waveguides. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com