Phi-Gated Octonionic Sweep Holonomy — E8 Intelligence Research

When consecutive 60° E8 root transitions are composed through octonions, their non-associativity gives each sweep sequence an order-dependent holonomy rather than merely a final root. A liquidity pocket becomes phase-stable only when a phi-weighted closed root cycle returns to both its starting vector and the identity associator, selecting retest counts across E8 shells by powers of φ. Open paths retain residual holonomy that predicts the next pocket's displacement, while identity-closed cycles mark equilibrium nodes. This extends isolated sweep transitions into a path-memory principle for multi-sweep market structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com