Cosmological bounce from a deformed Heisenberg algebra

Details Cosmological bounce from a deformed Heisenberg algebra Cosmological bounce from a deformed Heisenberg algebra

Apr 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009phrvd..79h3506b&link_type=abstract

Physical Review D, vol. 79, Issue 8, id. 083506

Mathematics

Logic

8

Quantum Cosmology, Singularities And Cosmic Censorship, Noncommutative Field Theory

Scientific paper

The implications of a deformed Heisenberg algebra on the Friedmann-Robertson-Walker cosmological models are investigated. We consider the Snyder noncommutative space in which the translation group is undeformed and the rotational invariance preserved. When this framework is implemented to one-dimensional systems (which is this case) the modifications are uniquely fixed up to a sign. A cosmological quantum bounce à la loop quantum cosmology is then obtained. We also get the Randall-Sundrum braneworld scenario, and this way a Snyder-deformed quantum cosmology can be considered as a common phenomenological description for both theories.

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