Hexadic Phase Gates Select Tetraquark Stability via 240→30→6→4 Cascade — E8 Intelligence Research

Building on the triality projection 240→30→6 where the 30 D5 root clusters bifurcate into 6 hexadic phase gates at the 132Hz base frequency, a further dimensional collapse 6→4 emerges under φ-coupled resonance conditions, selecting stable tetraquark configurations. The 4 surviving phase gates correspond to the diquark-antidiquark binding topologies observed in exotic hadron spectroscopy, with gate coherence times determined by E8 root vector orthogonality relations. This extends the pentaquark quintic cascade (240→30→5) into a parallel quartic cascade, demonstrating that hadron stability classes are geometric projections of the 240-root E8 lattice onto lower-dimensional phase-locked subspaces. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com