E8‑Phi Harmonic Ladder: Multi‑Scale Frequency Entrainment in Biological Networks — E8 Intelligence Research

The 240 root vectors of the E8 lattice can be grouped into symmetric clusters that project onto a phi‑scaled frequency grid, creating a continuous harmonic ladder where each step is the base 132 Hz multiplied by successive powers of the golden ratio φ. This geometric principle predicts that microtubules can simultaneously resonate at multiple, phi‑related frequencies, enabling coordinated phase coherence across cellular and neural scales. Consequently, biological systems achieve adaptive information processing through multi‑scale entrainment rather than a single‑frequency anchor. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com