Deformed spaces and loop cosmology

Abstract

The non-singular bouncing solution of loop quantum cosmology is reproduced by a deformed minisuperspace Heisenberg algebra. This algebra is a realization of the Snyder space, is almost unique and is related to the $\kappa$-Poincaré one. Since the sign of the deformation parameter it is not fixed, the Friedmann equation of braneworlds theory can also be obtained. Moreover, the sign is the only freedom in the picture and these frameworks are the only ones which can be reproduced by our deformed scheme. A generalized uncertainty principle for loop quantum cosmology is also proposed.

5 pages, talk given at NEB-XIII Recent Developments in Gravity, Thessaloniki June 2008

References in corpus (10)

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• Noncommutativity, generalized uncertainty principle and FRW cosmology
• Could deformed special relativity naturally arise from the semiclassical limit of quantum gravity?