Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology

2015/02/25 by Pouria Pedram
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Geometry #Isotropy #Mathematical physics #Mathematics #Minisuperspace #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Uncertainty principle #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.91.063517

published as Phys. Rev. D 91 (2015) 063517 · 10 pages, 4 figures, to appear in Physical Review D

arxiv created 2015/02/25 · openalex publication_date 2015/03/10 · arxiv updated 2015/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We exactly solve the Wheeler-DeWitt equation for the closed homogeneous and isotropic quantum cosmology in the presence of a conformally coupled scalar field and in the context of the generalized uncertainty principle. This form of generalized uncertainty principle is motivated by the black hole physics and it predicts a minimal length uncertainty proportional to the Planck length. We construct wave packets in momentum minisuperspace which closely follow classical trajectories and strongly peak on them upon choosing appropriate initial conditions. Moreover, based on the DeWitt criterion, we obtain wave packets that exhibit singularity-free behavior.

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