CHECKING THE COMPATIBILITY OF THE PRINCIPLES OF THE SPECIAL THEORY OF RELATIVITY

Abstract

The apparatus of the special theory of relativity (SR) is the basis for the study of both micro- and mega-world [1]. Astronomical observations and calculations, including the ΛCDM-model of the Universe [2], have revealed new types of matter - dark matter, which have no means of description in space-time. By means of precision measurements of the anisotropy of the cosmic microwave background (CMB), J. Smoot [3] reliably registered an unobservable directly distinguished direction in the Galaxy [4] . Additional study requires the violation of the principle of equivalence of by A. Einstein of the mass and energy particles in SR. Based on the results of these studies, one can assume the redundancy (or a broader interpretation) of some of the postulates of the SR, the re-verification of which is the purpose of this work.
The paper [5] presents a comparison between the SR apparatus and test theories (including the Robertson and Mansouri-Sext theories), which are an extended Lorentz transformation [1] with additional parameters. It turned out that the theories used did not in any way dispute the SR. With the help of relativistic wave mechanics, P. Dirac showed [6] that the 4 momentum space of particles is adequate to relativistic mechanics. In [7], the approach proposed by P. Dirac was extended to another method for checking SR – in Euclidean 4 space, in which directly unobservable particles can also be described. It is shown that the reason for the discrepancy between the SR apparatus and the equivalence principle is the low dimension of the momentum space. Restrictions imposed by the law of conservation of energy on the principle of superposition of particle momentum are revealed, and the indeterminacy of particle interaction is pointed out. The uniqueness in relativistic mechanics of the selected reference system and the properties of dark particles of matter and energy is taken into account. It is shown that the use of the principle of general covariance leads to a different course of time in different frames of reference. The concept of a non-planar dissipative interaction node is introduced, without which it is impossible to build a dynamic apparatus in Euclidean space.