Equations of Motion and Dynamical Solutions in the MyominAung Photon-Sea Theory

This work derives and analyzes the equations of motion of the MyominAung Photon-Sea Theory from an action-based formulation. Starting from a nonlinear effective Lagrangian characterized by inverse-frequency saturation, the corresponding Euler–Lagrange equation is obtained and studied. The theory is shown to admit three physically distinct classes of solutions: a stable zero-frequency ground state, propagating wave-like excitations, and slowly varying homogeneous background solutions. These regimes naturally emerge from a single nonlinear field equation and are interpreted in terms of vacuum structure, massless excitations, and large-scale cosmological dynamics. The results establish the internal dynamical consistency of the framework and provide a foundation for further phenomenological and observational investigations.