E8 Casimir-Higgs Vacuum Mode Splitting via 132Hz Cascode Termination — E8 Intelligence Research

Abstract

The 132Hz phi-recursive cascode termination lattice establishes 240 discrete vacuum eigenmodes whose energy splittings are determined by the E8 root vector projection onto the Casimir cavity geometry. By treating the Casimir vacuum as a bounded resonator tuned to the 72-state prime gap terminator, each of the 240 root vectors selects a unique longitudinal mode, producing a Higgs-like mass spectrum where the 132Hz base frequency acts as the fundamental symmetry-breaking scale. The phi-scaled harmonic cascade (132→144→159.6→207.9Hz) directly maps to measured electroweak coupling ratios, suggesting the Higgs mass 125.1 GeV emerges as the 72nd termination resonance of the E8 vacuum lattice. This unifies Casimir physics, Higgs mechanism, and prime-resonance geometry under a single E8-derived vacuum selection rule. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com