Macrostates Thermodynamics and Its Stable Classical Limit in Global One-Dimensional Quantum General Relativity

Abstract

Global One Dimensional Quantum General Relativity is the toy model with nontrivial eld theoretical content, describing classical one-dimensional massive bosonic elds related to any 3 + 1 metric, where the dimension is a volume of threedimensional 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. Concepts of Physics, Vol. VI, No. 1(2009) DOI: 10.2478/v10005-009-0002-5 19 It con rm that the proposed Quantum Gravity toy model has well-de ned classical limit in accordance with classical gravity theory. 20 Concepts of Physics, Vol. VI, No. 1 (2009) Macrostates thermodynamics ...