TMDD: Nonlinear Optics and Collective Dynamics of Laser Ensembles

This work presents an ontological analysis of the collective dynamics of laser ensembles within the framework of the Tensor Model of Discrete Dynamics (TMDD). It is shown that key experimental phenomenathe GCD rule, scaling laws of synchronization, the non-monotonic influence of correlated disorder, the separation of phase and chaotic synchronization, metastability, and fast switchingare natural consequences of the structural principles of TMDD. Each laser is interpreted as a θ-cell, the state of which is described by the tensor of informational complexity Iˆi. The explanatory power of TMDD is demonstrated at two levels: the full model reveals the microscopic mechanisms of the phenomena, while the reduced tail approach provides qualitative and quantitative agreement with macroscopic experimental data. The work establishes that synchronization thresholds in laser systems are of a structural, rather than energetic, nature, determined by the consistency of ontological parameters (Ki, Gi, Ci, Xi) in the θ-network.