Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-09-14
Gen.Rel.Grav.42:1081-1102,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, 31 figures; This paper is a complement to arXiv:0903.1914;
Scientific paper
10.1007/s10714-009-0894-7
We employ the familiar canonical quantization procedure in a given cosmological setting to argue that it is equivalent to and results in the same physical picture if one considers the deformation of the phase-space instead. To show this we use a Probabilistic Evolutionary Process (PEP) to make the solutions of these different approaches comparable. Specific model theories are used to show that the independent solutions of the resulting Wheeler-DeWitt equation are equivalent to solutions of the deformation method with different signs for the deformation parameter. We also argued that since the Wheeler-DeWitt equation is a direct consequence of diffeomorphism invariance, this equivalence is only true provided that the deformation of phase-space does not break such an invariance.
Khosravi Nima
Sepangi Hamid Reza
Vakili Babak
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