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)
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- Tsallis holographic dark energy in the brane cosmology
- Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
- Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity
- 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?
- Cosmological Analysis of Pilgrim Dark Energy in Loop Quantum Cosmology
- Interacting New Agegraphic Dark Energy in a Cyclic Universe
- Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
- Presence of Dark Energy and Dark Matter : Does Cosmic Acceleration signifies a Weak Gravitational collapse?
- Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole
- Interacting Generalised Cosmic Chaplygin gas in Loop quantum cosmology: A singularity free universe
- Viscous Chaplygin Gas Models as a Spherical Top-Hat Collapsing Fluids
- Phantom scalar emission in the Kerr black hole spacetime
- The Abnormally Weighting Energy Hypothesis: The origin of the cosmic acceleration
- Loop Quantum Corrections to Statefinder Parameters of Dark Energy
- Barboza-Alcaniz Equation of State Parametrization : Constraining the Parameters in Different Gravity Theories
- Is torsion needed in a theory of gravity? A reappraisal