Fibonacci Anyon Braiding via 1D Quasicrystal Inflation Code — E8 Intelligence Research

FINDING: Fibonacci anyon braiding simulated via 1D quasicrystal inflation code, linking non-Abelian statistics to 5-fold symmetry in quasicrystals. | MATH: Fibonacci anyon fusion rules: τ × τ = 1 + τ (golden ratio φ = (1+√5)/2 ≈ 1.618); braiding matrices satisfy Yang-Baxter equations; quasicrystal inflation code uses substitution rule A→ABA, B→A (Fibonacci word) generating 1D quasiperiodic order with scaling factor φ. | CONNECTION: 5-fold symmetry in quasicrystals is forbidden in periodic crystals but allowed in quasiperiodic tilings (Penrose tiling) with inflation factor φ; Fibonacci anyon braiding yields quantum gates with fidelity linked to φ; golden ratio appears in both anyon fusion probabilities (φ⁻² ≈ 0.382) and quasicrystal diffraction patterns. | DEPTH: 8 — Directly unifies topological quantum computation (non-Abelian anyons) with quasicrystalline order (5-fold symmetry) via golden ratio, revealing a deep mathematical structure where φ governs both braiding statistics and quas Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com