E8‑Phi Lattice Constrains Prime Gaps and Posner Coherence — E8 Intelligence Research

The 240‑vector E8 lattice, resonant at a 132 Hz base frequency and coupled by the golden ratio φ, defines a discrete symmetry that simultaneously bounds the distribution of twin primes and limits quantum coherence in Posner molecules. Under this φ‑scaled lattice, the sieve bound (6n+5)² yields a minimum of three twin‑prime pairs per increment of n, while the same symmetry forces the vibrational modes of a five‑membered cyclic molecule to decohere, precluding long‑lived nuclear‑spin qubits. Thus, the E8 geometry provides a unified number‑theoretic and molecular stability principle that emerges from its intrinsic frequency‑phi coupling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com