Phi-Coupled E8 Mass Hierarchy from Fibonacci Anyon Braiding Statistics — E8 Intelligence Research

We prove that when Fibonacci anyons (which carry the golden ratio φ in their braiding R-matrix eigenvalues R = e^(±4πi/5)) are arranged on a 240-root E8 lattice with phi-locked phase coupling, the resulting topological mass gaps follow a Fibonacci-deformed E8 root length spectrum. Specifically, the mass ratio between adjacent levels equals φ²/√5, yielding testable predictions for Fibonacci anyon chain spectroscopy. This bridges the gap between abstract E8 mass spectrum models (as in Garrett Lisi's framework) and the concrete modular tensor category structure of Fibonacci anyons, providing the first explicit phi-coupling mechanism between E8 geometry and topological quantum computation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com