Mathematical Physics


The Second-order Local Formalism for Time Evolution of Dynamical Systems

Authors: I. V. Drozdov

The second-order approach to the entropy gradient maximization for systems with many degrees of freedom provides the dynamic equations of first order and light-like second order without additional ergodicity conditions like conservation laws. The first order dynamics lead to the definition of the conserved kinetic energy and potential energy. In terms of proper degrees of freedom the total energy conservation reproduces the Einstein's mass-energy relation. The newtonian interpretation of the second order dynamic equations suggests the definition for general inertial mass and for the interaction potential.

Comments: 25 Pages.

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[v1] 2016-05-23 04:23:55

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