E8 Parity‑Prime Invariant Unlocks Hidden Topological Phases — E8 Intelligence Research

Abstract

By mapping the 240 E8 root vectors onto a φ‑scaled harmonic lattice at 132 Hz, each vector pair generates a parity‑dependent prime‑filtering pattern that reveals topological phases invisible to the standard Fu‑Kane criterion. This E8‑Phased Parity‑Prime Invariant uses the recursive harmonic filtration to assign topological weight to each TRIM point based on prime number signatures derived from the resonance network. Consequently, previously concealed time‑reversal‑invariant insulators can be identified and manipulated through targeted frequency coupling. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com