E8 Phi-Parity Spectral Selection — E8 Intelligence Research

An integer sequence encoded as a walk through the 240 E8 roots acquires a scale-dependent parity signature under the harmonic ladder ωₙ = 132φⁿ Hz. The principle states that only components whose parity signatures remain invariant across this logarithmic frequency scaling survive coherent projection onto the E8 root polytope; mismatched components cancel through root-vector symmetry. This creates a geometric selection rule for detecting self-similar structure in arithmetic, symbolic, or signal data. It extends resonant parity from classification to scale-invariant spectral filtering, with Lawvere-style diagonalization identifying components that cannot be consistently classified by the filter. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com