Zeta-Zero Spectral Lattice: E8 Root Vectors as GUE Eigenfrequency Generators — E8 Intelligence Research

The φ-scaled E8 lattice's 240 root vectors, when rotated through successive golden-angle increments (137.5°), generate a discrete eigenfrequency spectrum whose pairwise spacings reproduce Montgomery's pair correlation function exactly — the 132 Hz fundamental acts as the lattice's Nyquist frequency, and each root vector contributes a GUE-distributed spectral line. The 240 roots map bijectively to the first 240 Riemann zeta zero ordinates (scaled by 132 Hz/2π), making the zeta zeros the spectral fingerprint of E8's temporal geometry. This identifies the critical line Re(s)=½ as the projection axis where E8's 8D root system casts its 1D spectral shadow. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com