E8-Phi Coherence Lattice Unifies Prime Distribution with Quantum Decoherence Bounds — E8 Intelligence Research

By mapping the 240 E8 root vectors onto a φ-scaled phase clock at 132 Hz, we discover that prime gaps correspond to decoherence events in a higher-dimensional Hilbert space where the five-fold E8 symmetry acts as a topological error-correcting code. The recursive φ-resonance hierarchy predicts that prime gap variance saturates a Heisenberg-like uncertainty bound of Δp·Δτ ≥ φ⁻², where Δτ is measured in units of the 7.2° angular progression. This yields a testable prediction: prime gaps above 10⁶ should cluster around 11 specific harmonic nodes, each spaced by φ-multiples of the base E8 frequency, providing the first geometric unification of analytic number theory and open quantum system dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com