Soviet Physics Journal

, Volume 33, Issue 7, pp 557–561 | Cite as

Quantum dynamics of an isotropic cosmological model with relativistic gas

  • N. N. Gorobei
  • A. S. Luk'yanenko
Elementary Particle Physics and Field Theory
  • 15 Downloads

Abstract

A canonical time parameter corresponding to the synchronous reference frame is found for an isotropic cosmological model with relativistic gas. Canonical quantization of the model is performed. In the quantum theory, the radius of the Universe is an operator-valued function of time, whose values at different moments of time commute among themselves, and the state of the Universe itself does not change with time. In particular, this means that in experiments in which the radius of the Universe is measured, the presence of singularity is unavoidable within a finite interval of time in the past, and, for closed models, in the future.

Keywords

Reference Frame Quantum Theory Cosmological Model Time Parameter Closed Model 

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • N. N. Gorobei
    • 1
  • A. S. Luk'yanenko
    • 1
  1. 1.Polytechnical InstituteLeningrad

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