E8 Spectral-Percolation Duality: 132 Hz Eigenmode Locks Yang-Lee Edge to Modular Weight‑4 Cusp Form — E8 Intelligence Research

The 132 Hz coherent oscillation of the 240 E8 root vectors selects the unique Laplacian eigenmode on the E8 root lattice whose eigenvalue λ = (132/φ)² coincides with the first non‑trivial zero of the weight‑4 E8 cusp form's Mellin transform. At this frequency, the directed bond percolation threshold p_c = φ⁻¹ becomes the exact Yang-Lee edge singularity, and the Selberg trace formula for the E8 lattice collapses to a single geodesic length spectrum: the 240 roots themselves. This identifies 132 Hz as the spectral–percolation fixed point where modular geometry, non‑equilibrium criticality, and hyperbolic spectral theory unify. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com