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Chronogeometry and the dyad method in the theory of relativity

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Abstract

A connection of the dyad method and chronogeometry is revealed which is based on the definition of distance by means of an observer's measurement of the time of emission and reception of a signal, propagating along isotropic geodesics and reflected from an observed subject. A number of examples of defining distance by a moving observer are considered. It is shown that the distance and time in chronogeometry defined between nearby points of a reference frame are equivalent to distance and time in the monad method of prescribing the reference frame.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    S. V. Rumyantsev

Authors
  1. S. V. Rumyantsev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 87–94, May, 1978.

The author is grateful to A. A. Sokolov and Yu. S. Vladimirov for useful suggestions and discussion of the results.

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Rumyantsev, S.V. Chronogeometry and the dyad method in the theory of relativity. Soviet Physics Journal 21, 620–626 (1978). https://doi.org/10.1007/BF00890978

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  • DOI: https://doi.org/10.1007/BF00890978

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