Information Dynamics: Emergence of Non-Abelian Gauge Fields from Local SU(N) Invariance of a Generalized Ginzburg--Landau Equation and Phenomenological Consistency with Four Independent Experiments

This paper extends the Information Dynamics framework to non-Abelian gauge fields. The information field is generalized to a multi-component complex vector. Requiring local SU(N) invariance of the generalized Ginzburg-Landau equation naturally yields the Yang-Mills Lagrangian and the non-Abelian field strength tensor. The only control parameter is the information purity p_ID, which determines the coherence scale and the masses of gauge bosons. We extract p_ID from four independent experiments using publicly available data: hyperon semileptonic decay (BESIII 2021), reactor neutrino oscillation (KamLAND and JUNO 2025), the X17 resonance (Atomki 2020), and the muon g-2 anomaly (Fermilab 2025). All four…