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Cosmological bounce from a deformed Heisenberg algebra · Around

2008

Cosmological bounce from a deformed Heisenberg algebra

Battisti, Marco Valerio

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The implications of a deformed Heisenberg algebra on the Friedmann-Robertson-Walker cosmological models are investigated.

We consider the Snyder non-commutative 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 \`a la loop quantum cosmology is then obtained.

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