Fractal Coherence Restoration in the Three-Body Problem: A Golden Ratio Approach to Orbital Stability

We propose a novel framework to address the three-body problem by introducing a fractal coherence restoration mechanism modulated by the golden ratio (φ ≈ 1.618). Finite-difference time-domain (FDTD) simulations demonstrate stabilization of Lagrange points (L4/L5), enhanced robustness of figure-eight orbits, and clustering around Fibonacci convergent frequency ratios. The model reduces spectral entropy by ~7%, Lyapunov exponents by ~33%, and increases orbital stability by up to 57%. This preprint provides theoretical foundations, simulation results, and Python code for reproducibility.