Abstract
The construction of a linear, isomorphic, bounded realization of a tachyon semigroup (TSG) is carried out on a dual pair of space-times in which the sought realization by a parametric group is a semigroup of relativistic endomorphisms. The found relativistic semigroup of dual space-time transformations possesses definite probability-theoretical properties.
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V. V. Yudin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 89 (1976).
E. S. Lyapin, Semigroups [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1960).
V. V. Yudin and A. D. Ershov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 49 (1970).
P. A. Dirac, The Principles of Quantum Mechanics, 4th ed., Clarendon Press, Oxford (1958).
V. P. Maslov. Dokl. Akad. Nauk SSSR,192, 2, 272 (1970).
P. R. Halmos, Finite-Dimensional Vector Spaces, 2nd ed., Van Nostrand, Princeton, New Jersey (1958).
I. M. Glazman and Yu. I. Lyubich, Finite-Dimensional Linear Analysis [in Russian], Nauka, Moscow (1969).
V. V. Yudin, Proceedings of the Second Scientific-Methodological Conference of Far Eastern State University, Vladivostok (1966), p. 149.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, July, 1977.
The author is indebted to D. D. Ivanenko for his discussion, attention, and support.
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Yudin, V.V. The relativistic semigroup, the Lorentz group, and tachyons. III. Soviet Physics Journal 20, 851–854 (1977). https://doi.org/10.1007/BF00893126
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DOI: https://doi.org/10.1007/BF00893126