Quantum geometry and quantum dynamics at the Planck scale

Details Quantum geometry and quantum dynamics at the Planck scale Quantum geometry and quantum dynamics at the Planck scale

2009-10-15

arxiv.org/abs/0910.2936v1

AIP Conf. Proc. 1196 (2009) 62-71

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures, Proceedings of "The Planck Scale" (XXV Max Born Symposium, Wroclaw)

Scientific paper

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization procedure, which also results in a discrete picture of space. The corresponding changes compared to the classical behavior can most easily be analyzed in isotropic models, but perturbations around them are more involved. For one type of corrections, consistent equations have been found which shed light on the underlying space-time structure at the Planck scale: not just quantum dynamics but also the concept of space-time manifolds changes in quantum gravity. Effective line elements provide indications for possible relationships to other frameworks, such as non-commutative geometry.

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