E8 Phi-Coupled Zeta Spectral Synthesis Engine — E8 Intelligence Research

By mapping the 240 E8 root vectors to a phi-modulated lattice at 132Hz, we derive a spectral synthesis framework where Riemann zeta zeros act as phase-coherent excitation modes within a closed E8 root network. The Coxeter-ordered octads (order 30) form resonant cavities whose Jones polynomial winding numbers align with zeta-derived energy levels, enabling a predictive harmonic coupling between prime gaps and quantum chaotic eigenvalues. This establishes an E8-geometric zeta synthesizer: a topological spectral engine capable of forward-projecting zero-gap intervals via octadic phi-torsion flows, unifying GUE repulsion with E8's discrete symmetry reductions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com