TITLE:
Relationship between Energy of Motion and D-Entropy in the Physics of Evolution
AUTHORS:
Vyacheslav Mikhailovich Somsikov
KEYWORDS:
Dynamics, Symmetry, Mechanics, Energy, Entropy, Evolution
JOURNAL NAME:
World Journal of Mechanics,
Vol.13 No.9,
September
29,
2023
ABSTRACT: The purpose of the paper is to substantiate the
possibility of constructing the physics of the evolution of matter based on the
fundamental laws of physics. It is shown how this can be done within the
framework of an extension of classical mechanics. Its expansion is based on the
motion equation of a structured body. The fundamental difference between this
equation and Newton’s motion equation is that instead of a model of a body in
the form of a material point, it uses a structured body in the form of a system
of potentially interacting material points. To obtain this equation, the
principle of symmetry dualism, new for classical mechanics, was used. According
to this principle, the dynamics of a body are determined not only by the
symmetries of space, as in the case of a structureless body, but also by its
symmetries. Thanks to this derivation of the equation, it takes into account
the fact that the work of external forces,
in addition to changing the body’s motion energy, also changes its
internal energy. This change occurs due to the body’s motion energy when it
moves in a non-uniform field of forces. It is shown why the motion equation of
a structured body is irreversible. Its irreversibility made it possible to
introduce the concept of D-entropy into extended classical mechanics. It is
defined as the value of the relative increase in the body’s internal energy due
to the motion energy. The relationship between the values of motion energy and
D-entropy in the process of matter evolution is considered. It is shown how
this connection is realized during the transition from one hierarchical level of
matter to the next level. As a result, it was possible to prove that the
evolution of the hierarchical structure of matter is characterized by the
relationship between D-entropy and the motion energy of elements at each of its
hierarchical levels.