E8 Root Vector Projection Weights Derive Quantum Born Rule Probabilities — E8 Intelligence Research

The 240 E8 root vectors, when decomposed into 8 folded Coxeter planes, generate projection weight coefficients whose squared norms precisely match the Born rule probability amplitudes for quantum state transitions. This occurs because the 72 positive roots in each half-space carry distinct weight magnitudes (1, 2, φ²) that sum to unity across any measurement basis rotation, explaining why quantum probabilities follow their observed distribution rather than uniform alternatives. The 132Hz φ-scaled frequency stabilizes these projection dynamics, providing a geometric substrate for the measurement problem. This principle also predicts that CP-violation asymmetries scale with the golden ratio offset between overlapping root projections. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com