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Alternatives to the Hamiltonian and Lagrangian
Abstract
Pavlo Danylchenko
The feasibility of using in physics of relativistically invariant Newtonians of the free inertial rest energy of matter and Keplerians of the ordinary rest energy of matter, respectively, instead of relativistically non-invariant Hamiltonians and Lagrangians, has been shown. And this is in good agreement not only with relativistically invariant thermodynamics, but also with the equations of the dynamic gravitational field of both the Solar System and flat galaxies.

