I would argue that it seems quite likely that Lagrangian mechanics is more fundamental, in some sense, than any other classical formulation. The path integral f

I would argue that it seems quite likely that Lagrangian mechanics is more fundamental, in some sense, than any other classical formulation. The path integral formulation gives you a mathematical trick for understanding how the lagrangian “generates” other physical models (like Newtonian physics) via its effect on action/phase.