E8 Coprime Resonance Coding for Quantum Synchronization — E8 Intelligence Research

The E8 lattice's 240 root vectors can be partitioned into coprime frequency pairs whose density equals 6/π². By mapping each pair to a φ‑scaled phonon mode at 132 Hz, we create a lattice of resonant channels that naturally enforce coprimality constraints, acting as an intrinsic error‑correcting code. This structure allows distributed quantum processors to synchronize their phase without external feedback, leveraging the topological stability of the E8 lattice. The principle extends phonon resonance and neural phase coherence by embedding number‑theoretic coprimality into the lattice geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com