Medium Theory SMT Research №158 v3.2 The Principle of Least Action in Medium Φ

Key Points

• The aim is to derive the principle of least action through the dynamics of the Φ-medium in Medium Theory SMT.
• Deriving the principle of least action as a consequence of phase coherence and nonlinear elasticity
• Analyzing medium configurations toward coherent stationary states
• Exploring classical equations of motion and energy minimization within the framework of medium dynamics
• Extremal action trajectories are derived from relaxation processes
• Classical equations of motion and stability of particle-like configurations naturally result from medium dynamics
• The variational structure of physics is shown to emerge from the physical spacetime medium

Abstract