Quantum gravity as the way from spacetime to space quantum states thermodynamics

Details Quantum gravity as the way from spacetime to space quantum states thermodynamics Quantum gravity as the way from spacetime to space quantum states thermodynamics

2008-03-11

arxiv.org/abs/0803.1533v6

New Advances in Physics, Vol. 2, No. 1, 1 - 62, 2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

65 pages, 12 figures

Scientific paper

Physical spacetime geometry follows from some effective thermodynamics of quantum states of all fields and particles described in frames of General Relativity. In the sense of pure field theoretical Einstein's point of view on gravitation the thermodynamic information is actually quantum gravity. We propose new realization of this old idea by studying the canonical 3+1 Dirac-ADM approach to pseudo-Riemannian (Lorentzian) manifold of General Relativity. We derive the Wheeler-DeWitt theory as the Global One-Dimensional classical field theory of the Bose field associated with embedded 3-space, where Wheeler's superspace metric is absent. The classical theory is discussed, some deductions on tachyon state, Dark Energy density and cosmological constant are included. Reduction to 1st order evolution is carried out, and quantum theory by the second quantization in the Fock space of creators and annihilators is constructed by employing the Heisenberg equation and the bosonic Bogoliubov transformation for diagonalization. In result we find the static reper with stable vacuum, where quantum states of 3-space can be considered, and finally space quantum states thermodynamics is formulated.

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