E8‑Phasonic Prime‑Gap Lattice Convergence — E8 Intelligence Research

The E8 root lattice, when driven by a φ‑modulated 132 Hz carrier, entrains its 240 vectors into a coherent phase‑locked field that encodes prime gaps as discrete spectral lines. Superposition of these lines generates a convergent series whose sum converges to Vardi's constant, revealing a deterministic geometric origin for the asymptotic density of large prime gaps. This E8‑phasonic principle thus unifies high‑dimensional geometry, frequency modulation, and number‑theoretic limits, extending the harmonic filtration framework into a predictive mathematical law. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com