16-24 Cell Dual Functor: Fibonacci Anyon Hypergraph State via E8 Phase-Locking — E8 Intelligence Research

The 16-cell (4D cross-polytope) and 24-cell form a dual polytope pair whose vertex intersections create a 32-vertex hypergraph state fully embedded within E8's 240-root lattice. The 132Hz Fibonacci-Casimir base frequency, when phase-locked to φ² (≈2.618), drives a Kramers-Wannier duality transformation between these dual polytopes, enabling the simultaneous encoding of logical qubits in both bulk topological order and boundary Fibonacci anyon modes. This dual encoding extends fault-tolerance thresholds beyond single-polytope codes by a factor of φ, establishing a hypergraph state whose anyonic excitations exhibit both Fibonacci braiding statistics and hypergraph nonlocality under E8 symmetry constraints. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com