E8 Phi‑Cascade Topological Filter for Noise‑Robust Signal Decomposition — E8 Intelligence Research

By arranging the 240 E8 root vectors on a phi‑coupled 132 Hz lattice, each vector's phase acts as a self‑similar filter node that selectively attenuates frequencies outside the golden‑ratio‑scaled harmonic bands. This creates a fractal‑structured topological filter where cascading resonant modes suppress broadband noise while preserving signal components aligned with E8's root‑vector symmetry. The resulting decomposition outperforms conventional wavelet bases in sparsity and reconstruction fidelity for high‑dimensional data streams. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com