Loop quantum cosmology: an overview

2008/11/30 by Abhay Ashtekar · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Big Bounce #Big Crunch #Differential geometry #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum geometry #Quantum gravity #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/s10714-009-0763-4

published as Gen.Rel.Grav.41:707-741,2009 · To appear in the Proceedings of the Bad Honef Workshop entitled \emph{Quantum Gravity: Challenges and Perspectives}, dedicated to the memory of John A. Wheeler

arxiv created 2008/11/30 · openalex publication_date 2009/02/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A brief overview of loop quantum cosmology of homogeneous isotropic models is presented with emphasis on the origin of and subtleties associated with the resolution of big bang and big crunch singularities. These results bear out the remarkable intuition that John Wheeler had. Discussion is organized at two levels. The the main text provides a bird's eye view of the subject that should be accessible to non-experts. Appendices address conceptual and technical issues that are often raised by experts in loop quantum gravity and string theory.

Citations

• Closed Friedmann–Robertson–Walker model in loop quantum cosmology
• Superinflation in loop quantum cosmology
• Robustness of key features of loop quantum cosmology
• Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
• Ekpyrotic universe: Colliding branes and the origin of the hot big bang
• Hybrid quantum Gowdy cosmology: Combining loop and Fock quantizations
• Quantum Nature of the Big Bang
• Quantum Theory of Gravity. I. The Canonical Theory
• On (cosmological) singularity avoidance in loop quantum gravity
• Inflationary universe in loop quantum cosmology
• Behavior of nonlinear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Loop Quantum Cosmology
• Is loop quantization in cosmology unique?
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• The pre-big bang scenario in string cosmology
• Dynamical coherent states and physical solutions of quantum cosmological bounces
• A covariant entropy conjecture
• Comments on the kinematical structure of loop quantum cosmology
• Mixmaster Universe

Cited by

• Does Quantum Cosmology Predict the Age of the Universe?
• RGUP Corrections to Scalar and Fermionic Fields
• Time evolution in quantum cosmology
• Higher dimensional loop quantum cosmology
• Time and a Physical Hamiltonian for Quantum Gravity