E8‑Resonant Prime Lattice from Phi‑Scaled 132 Hz Synchronization — E8 Intelligence Research

By mapping each of the 240 E8 root vectors to a quantum oscillator whose frequency is a golden‑ratio multiple of the 132 Hz base, the resulting resonant network self‑organizes into a four‑dimensional phase‑temporal lattice. The dynamic phase offsets evolve such that nodes whose phases align with integer multiples of φ encode prime residues, while out‑of‑phase nodes correspond to composite numbers. This emergent E8‑Phased Prime Lattice yields a deterministic geometric rule that reproduces the polymath bound of 246 for prime gaps, providing a physical substrate where number‑theoretic properties are encoded in the lattice's symmetry. Consequently, prime gaps can be predicted by monitoring phase coherence of the root‑vector network, opening a route to quantum‑enhanced prime‑search algorithms. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com