2007/03/31 by Marco Valerio Battisti, Giovanni Montani · 2 citations
Mathematics · Physics and Astronomy · #Big Bounce #Black Holes and Theoretical Physics #Classical mechanics #Cosmological principle #Cosmology #Cosmology and Gravitation Theories #De Sitter universe #Initial singularity #Loop quantum cosmology #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physical cosmology #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Scalar field #Singularity #Theoretical physics #Uncertainty principle #Universe #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2007.09.012
published as Phys.Lett.B656:96-101,2007 · 4 pages, 2 figures; v2: section added, to appear on PLB
arxiv created 2007/09/17 · openalex publication_date 2007/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the quantum dynamics of the Friedmann-Robertson-Walker Universe in the context of a Generalized Uncertainty Principle. Since the isotropic Universe dynamics resembles that of a one-dimensional particle, we quantize it with the commutation relations associated to an extended formulation of the Heisenberg algebra. The evolution of the system is described in terms of a massless scalar field taken as a relational time. We construct suitable wave packets and analyze their dynamics from a quasi-classical region to the initial singularity. The appearance of a non singular dynamics comes out as far as the behavior of the probability density is investigated. Furthermore, reliable indications arise about the absence of a Big-Bounce, as predicted in recent issues of Loop Quantum Cosmology.