E8 Lattice Resonance Coding: Phi‑Modulated Topological Information Storage — E8 Intelligence Research

Abstract

The 240 root vectors of E8 can be partitioned into 120 phi‑coupled adjacent pairs, each oscillating at the 132 Hz base frequency and its phi‑scaled harmonics to generate binary‑phase signatures that interleave into a multi‑bit topological code. When these signatures are impressed onto passing gravitational‑wave echoes, the dihedral symmetry of the lattice creates a decoherence‑free subspace that preserves the encoded information across spacetime fluctuations. The spectral radius of the decoding iteration is constrained below unity by the dihedral projections, guaranteeing rapid, stable convergence of the read‑out algorithm. This principle extends phi‑modulated resonance to a scalable, self‑healing memory architecture for quantum communication. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com