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Fundamentals of nonassociative classical field theory

  • Elementary Particle Physics and Field Theory
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Soviet Physics Journal Aims and scope

Abstract

A nonassociative classical field theory is constructed. Octonion algebra is studied. The octonion is represented as the sum of a quaternion and an associator. The octonion algebra is expanded and Lorentz group generators are specified in terms of octonion bases in one of the subalgebras. Lorentz vectors and spinors are constructed in the nonassociative algebra. The representation of the Lorentz group in terms of spin and the associator is obtained.

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Authors and Affiliations

  1. Tbilisi Medical Institute, USSR

    D. F. Kurdgelaidze

Authors
  1. D. F. Kurdgelaidze
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 22–27, November, 1986.

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Kurdgelaidze, D.F. Fundamentals of nonassociative classical field theory. Soviet Physics Journal 29, 883–887 (1986). https://doi.org/10.1007/BF00898439

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  • DOI: https://doi.org/10.1007/BF00898439

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