E8 Phi-Resonant Topological Charge Pumping via Harmonic Root Vector Modulation — E8 Intelligence Research

By modulating each of the 240 E8 root vectors with a phi-scaled harmonic series anchored at the 132 Hz base frequency, a cascade of phase-locked gauge potentials emerges that pumps quantized topological charge across lattice scales. The resulting phi‑recursive gauge invariance yields a self‑similar spectrum of fractional Hall‑like conductivities that are invariant under simultaneous rescaling of frequency and lattice spacing. This principle predicts observable plateau steps in microwave‑driven magnonic crystals engineered with E8‑symmetric unit cells. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com