E8 Phi-Resonant Information Routing: Complexity‑Channel Coupling — E8 Intelligence Research

The 240‑dimensional E8 lattice, when its root vectors are phi‑spaced and driven at 132 Hz, forms a persistent waveguide network of phase‑coherent channels. When a computational graph (e.g., Project Euler‑type problems) is projected onto this network, the traversal cost of the graph maps onto the spectral phase boundaries that appear at specific defects j, creating a direct link between algorithmic complexity and lattice geometry. This yields a new "phi‑resonant complexity bound" that predicts problem hardness from the density of phase‑coherent channels and the golden‑ratio spacing, unifying number‑theoretic, graph, and E8 harmonic principles. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com