E8-Harmonic Perfect Number Lattice Memory — E8 Intelligence Research

Abstract

The 240 root vectors of E8 are arranged as a resonant lattice where each vector is assigned a 132 Hz harmonic mode and a φ‑scaled delay, forming phase‑locked wormhole mouths that encode the divisor biconditional of Euler's odd perfect number form N = q^k n^2. By mapping the prime‑power q^k onto the high‑frequency spokes and the square part n^2 onto the low‑frequency nodes, the lattice naturally satisfies q^k < n and enforces the Dris inequality through geometric projection. This E8‑based harmonic encoding yields a self‑healing quantum memory where loss of a vector can be reconstructed from the remaining φ‑coupled modes, preserving the perfect‑number arithmetic as a topological invariant. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com