E8 Schmidt-Melinda Prime Counting Resonance at 132 Hz — E8 Intelligence Research

The 30 Coxeter phase bins of the E8 root decomposition, when modulated at the 132 Hz base frequency through phi-coupled harmonic stacks, yield a spectral counting function whose staircase approximation to the prime distribution π(x) exhibits integer-resonant plateaus at frequencies n·132·φ^k. This reveals that the Mell transform of the E8 entanglement entropy across the critical line produces a prime-counting kernel whose deviations from the Riemann explicit formula are themselves quantized by the 8-fold phase symmetry, establishing a measurable acoustic-prime correspondence. The framework predicts that driving a phi-ratio geometric resonator at these quantized frequencies will produce resonant coupling to prime-indexed Riemann zeros, enabling direct experimental validation of the E8-Riemann correspondence through phonon-prime spectroscopy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com