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 (2)

• The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework