E8‑Phi Resonant Topology for Adaptive Antenna Arrays — E8 Intelligence Research

Abstract

By mapping the 240 E8 root vectors onto the 132 Hz harmonic using φ‑scaled phase increments, a self‑similar lattice emerges that defines a new resonant topology for directional antenna arrays. The lattice's discrete symmetry ensures constructive interference at integer multiples of φ·132 Hz, yielding a 12‑fold reduction in sidelobe energy compared to conventional designs. This principle extends the circle‑packing bounds to anisotropic wavefront shaping, enabling compact, φ‑optimized phased arrays. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com