Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology

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.

arXiv comment10 pages, 4 figures, to appear in Physical Review D

References in corpus (51)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Minimal Length Scale Scenarios for Quantum Gravity
• Universality of Quantum Gravity Corrections
• Probing Planck-scale physics with quantum optics
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Dirac oscillator with nonzero minimal uncertainty in position
• String Theory and the Space-Time Uncertainty Principle
• Traversable wormholes from massless conformally coupled scalar fields
• 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
• Composite system in deformed space with minimal length
• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• Regularization of the Singular Inverse Square Potential in Quantum Mechanics with a Minimal length
• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• One dimensional Coulomb-like problem in deformed space with minimal length
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• Running of the Spectral Index and Violation of the Consistency Relation Between Tensor and Scalar Spectra from trans-Planckian Physics
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• Quantum-gravity-motivated Lorentz-symmetry tests with laser interferometers
• Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
• Wave packets and initial conditions in quantum cosmology
• A noncommutative approach to the cosmological constant problem
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Could quantum gravity be tested with high intensity Lasers?
• Quantum gravity, minimum length and Keplerian orbits
• How the Quantum Universe Became Classical
• Stephani-Schutz quantum cosmology
• One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
• On Signature Transition and Compactification in Kaluza-Klein Cosmology
• Quantum cosmology with varying speed of light: canonical approach
• Quantum Stephani exact cosmological solutions and the selection of time variable
• On the conformally coupled scalar field quantum cosmology
• Quantum cosmology, minimal length and holography
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• Quantum cosmology with a minimal length
• Deformed phase space in a two dimensional minisuperspace model
• Canonical wave packets in quantum cosmology
• Entropy of the FRW universe based on the generalized uncertainty principle
• Quantum Stephani Universe in vicinity of the symmetry center
• The Causal Interpretation of Conformally Coupled Scalar Field Quantum Cosmology

Cited by in corpus (10)

• New generalized uncertainty principle from the doubly special relativity
• Effects of the Generalized Uncertainty Principle on Quantum Tunneling
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow
• The minimal length and the Shannon entropic uncertainty relation
• Bouncing universe with modified dispersion relation
• Constraints on Operator Ordering from Third Quantization
• Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Testing quantum gravity with dilute dipolar Bose gases