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Construction of an elementary particle theory in cosmological spaces

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Abstract

Using the system of enclosure, a four-dimensional curved (conformai) space is inserted in a six-dimensional plane space, where it occupies some surface. Based upon the symmetry of the surface indicated, the equation of the scalar field on the surface is written. Thereupon, using the enclosure formula, the equation obtained is transcribed into the original four-dimensional space. It is shown that the well-known scalar field equation obtained by other authors is a particular case of the equation obtained in this study.

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Literature cited

  1. P. A. M. Dirac, Ann. Math.,36, 657 (1935).

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Authors and Affiliations

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

    D. F. Kurdgelaidze & L. N. Plyusnin

Authors
  1. D. F. Kurdgelaidze
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  2. L. N. Plyusnin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 79–83, October, 1971.

The authors express their gratitude to Professor D. Ivanenko for his discussion of the question.

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Kurdgelaidze, D.F., Plyusnin, L.N. Construction of an elementary particle theory in cosmological spaces. Soviet Physics Journal 14, 1373–1376 (1971). https://doi.org/10.1007/BF00823881

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  • DOI: https://doi.org/10.1007/BF00823881

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