Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-09-30
Old and New Concepts of Physics, Vol. 6, N1, 19-42, 2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, no figures
Scientific paper
10.2478/v10005-009-0002-5
Global One--Dimensional Quantum General Relativity is the toy model with nontrivial field theoretical content, describing classical one-dimensional massive bosonic fields related to any 3+1 metric, where the dimension is a volume of three-dimensional embedding. In fact it constitutes the midisuperspatial Quantum Gravity model. We use one-particle density operator method in order to building macrostates thermodynamics related with any 3+1 metric. Taking the Boltzmann gas limit, which is given by the energy equipartition law for the Bose-Einstein gas of space quantum states generated from the Bogoliubov vacuum, we receive consistent with General Relativity thermodynamical degrees of freedom number. It confirms that the proposed Quantum Gravity toy model has well-defined classical limit in accordance with classical gravity theory.
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