Mathematics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984zhetf..87..705b&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 87, Sept. 1984, p. 705-716. In Russian.
Mathematics
9
Cosmic Gases, Cosmology, Dynamic Models, Isotropic Media, Quantum Theory, Elastic Media, Equations Of State, Hamiltonian Functions, Relativity, Singularity (Mathematics)
Scientific paper
A dynamic theoretical model of a closed isotropic and homogeneous universe filled with an elastic gas is presented. Phenomenological equations of state are formulated for the cases of a low-density and a high density gas. Quantization is performed by isolating a time parameter t which can be expressed in terms of the dynamic variables of the system. The state vector in the model satisfies a first order differential equation ensuring a regular interpretation of norm and mean values for the quantum mechanical operators. Operators for the scale parameter and proper time are determined and their spectra are investigated. It is shown that if quantum mechanical effects are taken into account the cosmological singularity can be obtained. The behavior observed in concrete packets is investigated, and some of its practical implications for the theoretical model are discussed.
Burlankov Dmitrii E.
Dutyshev V. N.
Kochnev A. A.
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