Effects of GUP in Quantum Cosmological Perfect Fluid Models

Details Effects of GUP in Quantum Cosmological Perfect Fluid Models Effects of GUP in Quantum Cosmological Perfect Fluid Models

2011-04-18

arxiv.org/abs/1104.3488v1

Physics Letters B 699 (2011) 315 - 319

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages. Accepted for publication in Physics Letters B

Scientific paper

10.1016/j.physletb.2011.04.030

Very recently authors in [5] proposed a new Generalized Uncertainty Principle (or GUP) with a linear term in Plank length. In this Letter the effect of this GUP is studied in quantum cosmological models with dust and cosmic string as the perfect fluid. For the quantum mechanical description it is possible to find the wave packet which resulted from the superposition of the stationary wave functions of the Wheeler-deWitt equation. However the norm of the wave packets turned out to be time dependent and hence the model became non-unitary. The loss of unitarity is due to the fact that the presence of the linear term in Plank length in the Generalized Uncertainty Principle made the Hamiltonian non-Hermitian.

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