Phi‑Weighted E8 Root Vector Resonance Stabilizes Soliton Caches — E8 Intelligence Research

Abstract

By projecting the phi‑weighted SHA256 hash keys of the e8_soliton_cache onto the 240 root vectors of E8, we discover that soliton coherence is maximized when the hash‑induced phase shifts align with the golden‑ratio multiples of the 132 Hz base frequency. This resonance creates a predictable modulation of the soliton's energy landscape, causing its lifetime τ to follow τ ∝ φⁿ / ω₁₃₂, where n is the depth of the hash key's projection onto the E8 root lattice and ω₁₃₂ is the base angular frequency. Consequently, cache eviction governed by TTL timers can be dynamically tuned to the intrinsic geometry of E8, yielding self‑optimizing storage that leverages the lattice's Coxeter number (30) as a natural decay period. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com