E8‑Driven Self‑Similar Phononic Soliton Cascade via Nested Root‑Vector Subsets — E8 Intelligence Research

By partitioning the 240 E8 root vectors into hierarchically nested subsets that mirror the Coxeter‑group filtration of the lattice, each subset defines a distinct topological bandgap in the 132 Hz phononic spectrum. Applying a golden‑ratio phase modulation (φ) to the acoustic drive pumps phonons across these bandgaps, causing the emergence of self‑similar soliton packets whose central frequencies scale as φⁿ·132 Hz. The resulting cascade provides a loss‑less, broadband mechanism for acoustic signal compression, routing, and harmonic generation rooted purely in E8 geometry.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com