Geodesic
Inversion of space and time and chaos of time on the Universe
Čebyševskij sbornik, Tome 16 (2015) no. 2, pp. 296-307

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This article establishes the connection between the spatial inversion and the inversion of time and the transition from one inertial reference system (IRS) to another one within the framework of the special theory of relativity. It turns out that if two events occurs that in the case of the transition from one IRS to another two variants are possible. The first one is when their sequence in time is the same in both IRS. The second variant is when their sequence in time is mutually opposite. In the latter case we speak about the inversion of time. The conditions under which the inversion of time takes place have been drawn. The results arising from the introduced concepts are being analyzed. The idea is that on the whole in the Universe there is no single direction of time, the chaos of time reigns in it. Therefore such notions as the age of the Universe and some others notions lose their sense. Thus, in non-relativistic velocities and relatively short distances we return to the usual point of view of the unidirectional flow of time. The calculations and the results introduced in this work are based on the special theory of relativity, and therefore they are considered obvious. Nevertheless, it would be interesting to carry out an experiment to test the inversion of time. The scheme of the experiment is the following. One IRS is connected with the Earth, the other IRS — with two satellites which have the equal velocities and which located at some distance from each other. Signals are sent from satellite to Earth at first from the first satellite and then from the other one. On Earth, these signals are received in the reverse order. The parameters of such experiment have been calculated and it has been proved that it can be carried out at the present moment. At the end of the paper brief summery are given and possible ways of continuing of this work are considered. On these ways is the analysis of the changes which must be made in the proposed presentation taking into account non-inertial of the real objects of the Universe and gravitational effects. Bibliography: 18 titles.
Keywords: inversion, Universe, cosmology, reference systems, space, time, Minkowski world, events, signal, chaos of time. 
@article{CHEB_2015_16_2_a18,
     author = {M. B. Chelnokov},
     title = {Inversion of space and time and chaos of time on the {Universe}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {296--307},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2015_16_2_a18/}
}
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M. B. Chelnokov. Inversion of space and time and chaos of time on the Universe. Čebyševskij sbornik, Tome 16 (2015) no. 2, pp. 296-307. http://geodesic.mathdoc.fr/item/CHEB_2015_16_2_a18/