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Quantum relativity theory and quantum space-time

International Journal of Theoretical Physics volume 23, pages 1043–1063 (1984)Cite this article

Abstract

A quantum relativity theory formulated in terms of Davis' quantum relativity principle is outlined. The first task in this theory as in classical relativity theory is to model space-time, the arena of natural processes. It is shown that the quantum space-time models of Banai introduced in another paper is formulated in terms of Davis' quantum relativity. The recently proposed classical relativistic quantum theory of Prugovečki and his corresponding classical relativistic quantum model of space-time open the way to introduce, in a consistent way, the quantum space-time model (the quantum substitute of Minkowski space) of Banai proposed in the paper mentioned. The goal of quantum mechanics of quantum relativistic particles living in this model of space-time is to predict the rest mass system properties of classically relativistic (massive) quantum particles (“elementary particles”). The main new aspect of this quantum mechanics is that provides a true mass eigenvalue problem, and that the excited mass states of quantum relativistic particles can be interpreted as elementary particles. The question of field theory over quantum relativistic model of space-time is also discussed. Finally it is suggested that “quarks” should be considered as quantum relativistic particles.

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Authors and Affiliations

  1. Central Research Institute for Physics, P.O.B. 49, H-1525, Budapest 114, Hungary

    Miklós Banai

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  1. Miklós Banai
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Supported by the Hungarian Academy of Sciences.

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Banai, M. Quantum relativity theory and quantum space-time. Int J Theor Phys 23, 1043–1063 (1984). https://doi.org/10.1007/BF02213416

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  • DOI: https://doi.org/10.1007/BF02213416

Keywords

  • Quantum Mechanic
  • Arena
  • Minkowski Space
  • True Mass
  • System Property