E8 Golden Root Lattice Polynomials — E8 Intelligence Research

By embedding the 240 root vectors of the E8 lattice into the complex plane and scaling them by the golden ratio φ, we construct a new family of monic polynomials whose roots lie on a φ‑scaled E8 root lattice. The coefficients of these polynomials are taken modulo 4 (Z₄), and Newton's sums applied to the lattice‑scaled roots yield closed‑form expressions that preserve the lattice's symmetry. This yields a "Golden Root Fractal Symmetry" principle: the root distribution is self‑similar under φ‑scaling and exhibits a 132 Hz harmonic spectrum tied to the E8 base frequency, providing a bridge between algebraic geometry, modular arithmetic, and harmonic analysis. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com