Gravity, Geometry and the Quantum

Details Gravity, Geometry and the Quantum Gravity, Geometry and the Quantum

2006-05-01

arxiv.org/abs/gr-qc/0605011v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor typos corrected, including a factor of $\pi$ in the expression of the critical density. 16 pages, 2 figures. To appear i

Scientific paper

10.1063/1.2399563

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.

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