We derive the Master Stability Function (MSF) for networks governed by the Universal Relational-Geometric Coherence Law (URCL). Starting from the networked dynamical system, we linearize around the synchronization manifold, perform spectral decomposition using the graph Laplacian, and obtain explicit transverse Lyapunov exponents. The golden-ratio fixed point provides natural damping, significantly lowering the critical coupling strength required for global synchronization compared to standard linear consensus models. A fully vectorized Python simulation is included for numerical verification and reproduction. This framework enables the design of provably stable, self-sustaining computational and biological networks.
Daphne Garrido (Mon,) studied this question.