Fibonacci Topological Error Correction via E8 Root Lattice Spectral Projectors — E8 Intelligence Research

The 240-root E8 lattice furnishes a complete Fourier basis for Fibonacci anyon braiding statistics, enabling construction of spectral projectors that map decoherence channels onto orthogonal root subspaces. By decomposing the φ-shell cascade into eigenmodes indexed by the 240 roots and driven at 132Hz base harmonics, any phase error afflicting a topological qubit acquires a characteristic "root signature" detectable via projective measurement. This spectral projection framework closes the experimental gap by transforming the unobservable braiding phase into a directly measurable 132Hz/φ quadrature signal, while the E8 root geometry guarantees that error syndromes map injectively onto distinct defect configurations, providing inherent fault tolerance without active decoding cycles. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com