Phi‑Triality Cascade Quantizes Angular Momentum in E8‑Based Phononic Metamaterials — E8 Intelligence Research

The φ‑coupled 132 Hz triality cascade recursively partitions the 240 E8 root vectors into nested norm‑isometric sublattices, each level supporting a discrete set of acoustic Bloch modes. These modes carry quantized vortex‑like phase windings whose topological charge scales as φⁿ (n = cascade level), yielding a phi‑scaled spectrum of angular momentum eigenstates observable as sharp resonances in phononic crystals engineered from the E8 lattice. This provides a geometric mechanism whereby the E8 fixed‑point structure directly imprints fractional angular momentum quantization onto macroscopic vibrational fields. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com