Gravity, Geometry and the Quantum
arXiv:gr-qc/0605011 · doi:10.1063/1.2399563
Abstract
After a brief introduction, basic ideas of the quantum Riemannian geometry underlying loop quantum gravity are summarized. To illustrate physical ramifications of quantum geometry, the framework is then applied to homogeneous isotropic cosmology. Quantum geometry effects are shown to replace the big bang by a big bounce. Thus, quantum physics does not stop at the big-bang singularity. Rather there is a pre-big-bang branch joined to the current post-big-bang branch by a `quantum bridge'. Furthermore, thanks to the background independence of loop quantum gravity, evolution is deterministic across the bridge.
Minor typos corrected, including a factor of in the expression of the critical density. 16 pages, 2 figures. To appear in the Proceedings of the `Einstein Century' Conference, 15-22 July, Paris, edited by J-M Alimi et al (American Institute of Physics)
References in corpus (3)
Cited by in corpus (10)
- Holographic dark energy in a cyclic universe
- Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
- Phantom field dynamics in loop quantum cosmology
- Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
- Inflationary universe in loop quantum cosmology
- Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
- Type I singularities and the Phantom Menace
- Polymer state approximations of Schroedinger wave functions
- Can black holes be torn up by phantom dark energy in cyclic cosmology?
- Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole