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A non-lorentzian form of the principle of relativistic invariance

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Abstract

A linear quasistochastic representation of the hyperbolic tangent semigroup is described which acts in dual space-time and which is a semigroup of relativistic endomorphisms. Some of its properties are described, and its relationship with the Lorentz group is discussed. This transformation semigroup permits a novel approach to space-time concepts and a discussion of the representations of the quasistochastic semigroup of relativistic endomorphisms and the associated invariants.

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Literature cited

  1. E. Hille and R. S. Phillips, Functional Analysis and Semigroups [Russian translation], IL, Moscow (1962).

    Google Scholar 

  2. E. S. Lyapin, Semigroups [in Russian], Fizmatgiz, Moscow (1960).

    Google Scholar 

  3. D. A. Raikov, Vector Spaces [in Russian], GIFML, Moscow (1962).

    Google Scholar 

  4. P. R. Halmos, Finite Dimensional Vector Spaces [Russian translation], GIFML, Moscow (1963).

    Google Scholar 

  5. W. W. Wagner, Matem. Sb (Novaya Seriya),32, No. 3, 545–632 (1953).

    Google Scholar 

  6. W. W. Wagner, Dokl. Akad. Nauk SSSR,84, 1119 (1952).

    Google Scholar 

  7. G. Preston, J. London Math. Soc.,29, 396 (1954).

    Google Scholar 

  8. M. E. Gertsenshtein and V. V. Vasil'ev, Teoriya Veroyatnostei i ee Primeneniya, IV (4), 424 (1959); F. I. Karpelevich, V. N. Tubalin, and M. G. Shur, Teoriya Voroyatnostei i ee Primeneniya, IV (4), 432 (1959).

    Google Scholar 

  9. C. E. Shannon, Studies in Information Theory and Cybernetics [Russian translation], IL, Moscow (1963).

    Google Scholar 

  10. A. Ya. Khinchin, Usp. Matem. N.,8, 3, (55), 3 (1953).

    Google Scholar 

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Authors and Affiliations

  1. Far Eastern State University, USSR

    V. V. Yudin & A. D. Ershov

Authors
  1. V. V. Yudin
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  2. A. D. Ershov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, Vol. 12, No. 4, pp. 121–127, April, 1969.

The authors thank D. D. Ivanenko for discussion and useful advice.

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Yudin, V.V., Ershov, A.D. A non-lorentzian form of the principle of relativistic invariance. Soviet Physics Journal 12, 505–509 (1969). https://doi.org/10.1007/BF00816042

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  • DOI: https://doi.org/10.1007/BF00816042

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