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2020, no. 3


Aristov V.V.

Relational statistical spacetime, as a certain theoretical apparatus, allows one to describe various known phenomena, but also to offer an interpretation of some effects that require their explanation. The concept of dark matter occupies an important place in the theory of gravity. With numerous references to modern literature, the conviction is expressed that dark matter is not a substance formed from unknown particles. Therefore, the physical theory needs to be supplemented and clarified so that such phenomena can be described. The developed version of the concept of relational statistical spacetime is constructed on the basis of a theoretical model of fundamental instruments - clocks and rulers and allows one to approach the description of the concept of dark matter when considering regularities on cosmological scales. It is shown how the basic equations of the classical theory of gravitation are derived. Basic concepts of the generalized Mach principle are given. Within the framework of this approach, the meaning of the well-known cosmological coincidences, first discovered by Weil, is clarified. From statistical principles, it is shown how the manifestation of dark matter can be interpreted in the framework of the Newtonian approximation of the theory of gravitation. These estimates demonstrate that the ratio (dark mass + visible mass) / (visible mass) corresponds to the experimental data.

Keywords: spacetime, relational statistical concept, gravitation, dark matter.

UDC: 53.01, 53.02

PACS: 04.60.-m, 03.65.Ca, 03.65.Fd, 03.65.Ta

DOI: 10.17238/issn2226-8812.2020.3.4-14

Please cite this article in English as:
Aristov V.V. Theoretical interpretation of dark matter in concept of relational statistical spacetime. Space, Time and Fundamental Interactions, 2020, no. 3, pp. 4-14.