One definition of time for the isotropic cosmological model

Details One definition of time for the isotropic cosmological model One definition of time for the isotropic cosmological model

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ukfiz..34..814g&link_type=abstract

Ukrainskii Fizicheskii Zhurnal (ISSN 0503-1265), vol. 34, June 1989, p. 814-816. In Russian.

Mathematics

Astronomical Models, Cosmology, Isotropic Media, Time Response, Canonical Forms, Cosmic Dust, Hamiltonian Functions, Operators (Mathematics), Parameter Identification, Quantum Theory

Scientific paper

A canonical time parameter corresponding to a synchronous coordinate frame is found in an isotropic cosmological model with dust matter. The Hamiltonian related to this time parameter is obtained. Within the framework of a quantum version of the model, the world radius is a time-dependent operator commutating with the Hamiltonian. It is concluded that a cosmological singularity is unavoidable in the quantum theory.

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