A critical analysis of the cosmological implementation of Loop Quantum Gravity
arXiv:1201.2329 · doi:10.1142/S0217732312500320
Abstract
This papers offers a critical discussion on the procedure by which Loop Quantum Cosmology (LQC) is constructed from the full Loop Quantum Gravity (LQG) theory. Revising recent issues in preserving SU(2) symmetry when quantizing the isotropic Universe, we trace a new perspective in approaching the cosmological problem within quantum geometry. The cosmological sector of LQG is reviewed and a critical point of view on LQC is presented. It is outlined how a polymer-like scale for quantum cosmology can be predicted from a proper fundamental graph underlying the homogeneous and isotropic continuous picture. However, such a minimum scale does not coincide with the choice made in LQC. Finally, the perspectives towards a consistent cosmological LQG model based on such a graph structure are discussed.
11 pages, accepted for publication in Modern Physics Letters A
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Cited by in corpus (14)
- An Overview on the Nature of the Bounce in LQC and PQM
- Classical Setting and Effective Dynamics for Spinfoam Cosmology
- The picture of the Bianchi I model via gauge fixing in Loop Quantum Gravity
- Polymer representation of the Bianchi IX Cosmology in the Misner variables
- Polymer dynamics of isotropic universe in Ashtekar and in volume variables
- Is Bianchi I a Bouncing Cosmology in the Wheeler-DeWitt picture?
- Bianchi I model as a prototype for a cyclical Universe
- Semiclassical and quantum features of the Bianchi I cosmology in the polymer representation
- Is the diagonal case a general picture for Loop Quantum Cosmology?
- Loop Quantum Cosmology of non-diagonal Bianchi models
- Fate of Mixmaster Chaos in a Deformed Algebra framework
- The role of spatial curvature in constraining the Universe anisotropies across a Big Bounce
- Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
- Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom