Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
arXiv:1502.07320 · doi:10.1103/PhysRevD.91.063517
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.
10 pages, 4 figures, to appear in Physical Review D
References in corpus (21)
- Universality of Quantum Gravity Corrections
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- GRBs Neutrinos as a Tool to Explore Quantum Gravity induced Lorentz Violation
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Thermodynamics of a black hole based on a generalized uncertainty principle
- Minimum Length Cutoff in Inflation and Uniqueness of the Action
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
- Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
- A noncommutative approach to the cosmological constant problem
- Quantum gravity, minimum length and Keplerian orbits
- Could quantum gravity be tested with high intensity Lasers?
- Stephani-Schutz quantum cosmology
- One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
- Quantum cosmology with varying speed of light: canonical approach
- Quantum Stephani exact cosmological solutions and the selection of time variable
- Quantum cosmology, minimal length and holography
- Quantum cosmology with a minimal length
- Deformed phase space in a two dimensional minisuperspace model
- Canonical wave packets in quantum cosmology