The connection of the field theory equations with the equations of mathematical physics. The nature and origins of dark matter and dark energyтезисы доклада

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[1] Petrova L. I. The connection of the field theory equations with the equations of mathematical physics. the nature and origins of dark matter and dark energy // ABSTRACTS of the 3rd Symposium of the BRICS Association on Gravity, Astrophysics and Cosmology. — The Institute of Physics of Kazan Federal University, Kazan, Russia, 2019. — P. 40–40. It was shown that the mathematical physics equations, which describe material media (such as thermodynamic, gas-dynamical, cosmic, and others), possesses the properties of field theory equations. It is well known that the mathematical physics equations, which describe material media, are composed of the equations of conservation laws for energy, momentum, angular momentum, and mass. The field theory equations such as Einstein’s, Maxwell’s, Schredinger’s and others, which describe physical fields, are also based on the properties of conservation laws. However, the conservation laws for physical fields are the conservation laws that point to the presence of conservative quantities or objects. Such conservation laws are described by closed skew-symmetric forms. It turns out that closed (inexact) skew-symmetric forms that describe conservation laws for physical fields (the Noether theorem is an example) follow from the conservation law equations for material media. Such a connection, which is realized discretely, discloses a connection between the field theory equations and the mathematical physics equations. This follows from the evolutionary relation that is obtained from the mathematical physics equations and corresponds to field theory equations. The evolutionary relation discloses a mechanism of evolutionary processes in material media accompanied by the emergence of physical structures that made up physical fields and the advent of a dark energy and a dark matter.

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