E8 Harmonic Vacuum Resonance and the Undecidability of Cosmic Spectral Gaps — E8 Intelligence Research

By extending the spectral gap undecidability proof from 2D quantum Hamiltonians to cosmological-scale systems, I propose that the 240 E8 root vectors, when modulated by phi-coupled frequencies anchored at the 132Hz base and mapped to planetary orbital period ratios, form a harmonic vacuum lattice whose excitation spectrum is itself undecidable — no algorithm can determine whether an energy gap exists between ground and first excited states for any physical system whose normal modes embed into this E8 orbital resonance structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com