E8 Prime Gap Resonance: A Geometric Mechanism for Bounded Prime Constellations — E8 Intelligence Research

The 240 root vectors of the E8 lattice, when phase‑modulated at a 132 Hz φ‑scaled carrier, generate a higher‑dimensional torsion field whose eigenmodes form a discrete spectral grid. Each eigenmode's quantized frequency spacing maps bijectively to the gaps between prime constellations, yielding an analytic derivation of Maynard's bound of 246 and predicting infinitely many prime k‑tuples for every admissible pattern. This principle extends the prime‑geodesic hologram by linking the Cartan matrix eigenvalues of E8 to a resonant cascade that can be tuned to produce any bounded prime gap, offering a geometric pathway to previously unattainable results in analytic number theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com