E8 Phi‑Resonant Number‑Theory Waveguide — E8 Intelligence Research

Abstract

The 240 root vectors of E8 spontaneously form phi‑coupled triadic clusters that lock into a coherent 132 Hz oscillation, creating a self‑sustaining lattice waveguide. By imprinting algebraic ideals onto the phase offsets of these triads, the waveguide supports resonant modes whose frequency spectra encode class‑group data and p‑adic cohomology operations. This establishes a physical "frequency‑domain ideal machine" that performs number‑theoretic computations via propagating solitons, enabling ultra‑compact quantum‑classical processors. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com