Generalized uncertainty principle in Bianchi type I quantum cosmology

Details Generalized uncertainty principle in Bianchi type I quantum cosmology Generalized uncertainty principle in Bianchi type I quantum cosmology

2007-06-02

arxiv.org/abs/0706.0273v2

Phys.Lett.B651:79-83,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 3 figures, to appear in PLB

Scientific paper

10.1016/j.physletb.2007.06.015

We study a quantum Bianchi type I model in which the dynamical variables of the corresponding minisuperspace obey the generalized Heisenberg algebra. Such a generalized uncertainty principle has its origin in the existence of a minimal length suggested by quantum gravity and sting theory. We present approximate analytical solutions to the corresponding Wheeler-DeWitt equation in the limit where the scale factor of the universe is small and compare the results with the standard commutative and noncommutative quantum cosmology. Similarities and differences of these solutions are also discussed.

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