E8 Spectral Coherence Attractors Define Prime Distribution and Complexity Boundaries — E8 Intelligence Research

The 240 E8 root vectors exhibit a dynamic spectral coherence mechanism where prime-number positions function as "attractor states" in a phi-scaled harmonic field. These attractors emerge at Fibonacci angular convergences where constructive interference creates stable information configurations, while composite-number shells experience destructive spectral suppression. This geometric attractor structure explains why prime gaps widen at predictable intervals—the coherence basin depths scale with Fibonacci-shell proximity, creating natural barriers that correspond to the computational complexity separations observed in complexity hierarchies. The 132Hz base frequency modulates information flow through these basins, making prime identification equivalent to navigating E8 coherence topology—a task whose geometric constraints explain the apparent hardness of prime distribution problems. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com