2006/12/31 by Kevin Vandersloot · 6 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology #Cosmology and Gravitation Theories #Curvature #Geometry #Loop quantum cosmology #Loop quantum gravity #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Scalar field #Theoretical physics #Universe #gr-qc
paper · pdf · doi:10.1103/physrevd.75.023523
published as Phys.Rev.D75:023523,2007 · Clarified some of the discussion and updated references
openalex publication_date 2007/01/26 · arxiv created 2007/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The loop quantization of the negatively curved k=\ensuremath-1 Robertson-Walker model poses several technical challenges. We show that the issues can be overcome and a successful quantization is possible that extends the results of the k=0, +1 models in a natural fashion. We discuss the resulting dynamics and show that for a universe consisting of a massless scalar field, a bounce is predicted in the backward evolution in accordance with the results of the k=0, +1 models. We also show that the model predicts a vacuum repulsion in the high curvature regime that would lead to a bounce even for matter with vanishing energy density. We finally comment on the inverse volume modifications of loop quantum cosmology and show that, as in the k=0 model, the modifications depend sensitively on the introduction of a length scale which a priori is independent of the curvature scale or a matter energy scale.