Quantum cosmology with a minimal length

Abstract

Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization is performed in the minisuperspace representation. Both the quantum Universes are singularity-free and (i) in the isotropic model no evidences for a Big-Bounce appear; (ii) in the Taub one a quasi-isotropic configuration for the Universe is predicted by the model.

8 pages, 3 figures; to appear in the proceedings of the II Stueckelberg Workshop, Int.J.Mod.Phys.A, references added

References in corpus (3)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework

Cited by in corpus (13)

• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Extended GUP formulation and the role of momentum cut-off
• Electroweak Theory with a Minimal Length
• Cosmology with minimal length uncertainty relations
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• Minimum-length deformed QM/QFT, issues and problems
• The Mixmaster Universe in a generalized uncertainty principle framework
• Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
• Deformed phase space in a two dimensional minisuperspace model
• Generalized Uncertainty Principle theories and their classical interpretation
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Unitary equivalence in Generalized Uncertainty Principle theories