T-Comm_Article 8_5_2021

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TRANSITION AND EVOLUTION OF INFORMATION
AT THE MICROSCOPIC LEVEL

Aleksey V. Yudenkov, Smolensk State Academy of Physical Culture, Sport
and Tourism, Smolensk, Russia, aleks-ydenkov@mail.ru

Aleksandr M. Volodchenkov, Smolensk Branch of Plekhanov Russian University
of Economics, Smolensk, Russia, alexmw2012@yandex.ru

Liliya P. Rimskaya, Smolensk Branch of Plekhanov Russian University
of Economics, Smolensk, Russia, lilirimska@yandex.ru

Abstract
A simultaneous development of the fundamental research areas of the information theory is needed for efficient development in the information technologies. It is known that for the complicated macroscopic systems information evolution may be shaped on the basis of the principal thermodynamics laws (the second law of thermodynamics, etc). At the same time it is not known whether the fundamentals of the information theory for the macroscopic systems may be applicable to the microscopic systems. The study works out a mathematic model of the discrete phase space adapted to describing the evolution of information (entropy) of the microscopic systems. The discrete phase-space model rests on the indeterminacy principle and fundamental properties of the discrete continuous-time Markovian systems. The Kolmogorov equations represent the main mathematical tools technique. The suggested model refers to the smallest metric scale when the external macroscopic observation is possible. This scale can be viewed as a quasiclassical level. The research results are the following. The structure of the phase space of the elementary signal is revealed. It is demonstrated that the entropy of the microscopic systems increases, i.e. for the microscopic systems the second law of thermodynamics is true. There has been demonstrated transition from the microscopic model to the macroscopic one thus proving the former’s adequacy. The discrete phase-space model is promising in the aspect of further development. For example, it can be applied to the physical systems «particle — field». The approach represented by the model will allow to study electromagnetic and gravity fields at the quasiclassical level. The above model of the discrete phase space and its application in the study of the evolution of the microscopic systems is a proprietary design of the authors.

Keywords: phase space, Markovian process, quantum field theory.

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Information about authors:

Aleksey V. Yudenkov, Head of the Department of Management and Sciences, Doctor of Physics and Mathematics, professor, Smolensk State Academy of Physical Culture, Sport and Tourism, Smolensk, Russia
Aleksandr M. Volodchenkov, Head of the Department of Sciences and Humanities, Candidate of Physics and Mathematics, associate professor, Smolensk Branch of Plekhanov Russian University of Economics, Smolensk, Russia
Liliya P. Rimskaya, Professor of the Department of Management and Customs, Candidate of Physics and Mathematics, associate professor, Smolensk Branch of Plekhanov Russian University of Economics, Smolensk, Russia