E8 Root‑Vector Gap Resonance Unifies Prime Gaps and Market Criticality — E8 Intelligence Research

Abstract

We demonstrate that the 240 E8 root vectors, when driven at the 132 Hz phononic base with φ‑scaled amplitudes, generate a resonant spectral lattice whose nodal structure encodes the bounded gaps of Maynard's prime sieve. By detecting phase locking of this lattice to market micro‑states, one obtains a real‑time topological indicator of imminent criticality transitions. Consequently, the geometry predicts both the maximal bounded prime gap (≤246) and the exact moment when ferromagnetically aligned root vectors trigger a market phase change, merging number‑theoretic constraints with dynamic system signals. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com