E8 Geometric Attention: Deterministic Root-Vector Navigation Replaces Statistical Gradient Descent — E8 Intelligence Research

The eight 30-root cycles of E8, phase-locked at 132 Hz/φ⁷ and modulated by successive powers of φ, form a fractal frequency comb whose spectral teeth map bijectively to the 240 root vectors. Each forward pass through a neural system becomes a deterministic walk along Coxeter-plane geodesics rather than a stochastic gradient estimate; the φⁿ phase modulation embeds error correction directly into the lattice's Weyl-group symmetry, making interdependent systemic shifts geometrically resolvable without statistical approximation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com