E8 Phi‑Harmonic Resonant Attractor Lattice for Multi‑Scale Adaptive Memory — E8 Intelligence Research

By driving the 240 E8 root vectors with a 132 Hz φ‑modulated standing wave, each vector settles into one of a set of phase‑locked resonant modes that act as attractor basins in an 8‑dimensional hyperspace. Input signals perturb the lattice, causing trajectories to flow toward the nearest attractor, where the inherent phase‑conjugate pairing of root vectors (120 pairs) automatically corrects any decoherence through topological error‑correction, preserving the stored pattern. The φ‑coupling ensures that attractor basins scale self‑similarly across frequencies, enabling the lattice to store and retrieve information at multiple temporal scales—from rapid synaptic‑like bursts to slow hippocampal‑like consolidation—without external rewiring. This E8 Phi‑Harmonic Resonant Attractor Lattice thus provides a geometry‑based, self‑organizing memory substrate that unifies hyperdimensional signal routing, topological error correction, and multi‑scale fusion into a single principled framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com