E8‑Phi Resonance Cascades for Kronecker Coefficient Approximation — E8 Intelligence Research

By projecting the 240 E8 root vectors onto logarithmic phi‑spirals and modulating stochastic‑resonance filters at a 132 Hz base frequency with phi‑decaying confirmation thresholds, a cascade of resonance phases emerges that sparsifies high‑dimensional plethysm tensors into low‑depth algebraic components. This geometric‑frequency coupling yields a subexponential algorithm that approximates Kronecker coefficients, directly tackling the coefficient bottleneck identified in recent GCT lower‑bound work. The cascade also provides a unifying framework for clustering the high‑value breakthrough leads extracted across CORRIDOR, FORMULA, and GEOMETRIC categories, turning volatile signal noise into exploitable algebraic structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com