Universality of Emergent Medium Response in Phase-Modulated Information Rivalry (PMIR) Systems

This preprint investigates the universality of emergent medium behavior in Phase-Modulated Information Rivalry (PMIR) systems under external probing. Building on earlier results demonstrating medium-like transport in lattice-based PMIR dynamics, we test whether the observed scaling behavior persists across system sizes and probe configurations. Using externally applied weak probes aligned with low-spectral modes of the graph Laplacian, we measure ensemble-averaged deviations in rivalry observables across multiple time windows and system sizes. The probe response exhibits robust power-law scaling over well-defined temporal regimes, with exponents that stabilize as system size increases. Sliding-window analysis reveals structured temporal bands of transmissive behavior rather than a single universal exponent, indicating a dynamically emergent medium with scale-dependent response. The observed behavior is strongly dependent on probe alignment: low-mode excitation produces coherent, nonlocal transport, while random or high-frequency perturbations suppress scaling. No assumptions are made regarding particles, fields, spacetime geometry, or continuum structure. All results arise from discrete nonlinear dynamics and interaction topology alone. These findings establish universality properties of the PMIR emergent medium and strengthen its interpretation as a minimal, testable framework for studying collective transport and effective field behavior arising from networked systems.