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arXiv · 0812.3755

Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry

Marco Valerio Battisti·Stjepan Meljanac
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Abstract

We show that the Euclidean Snyder non-commutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty relations underlying deformed Heisenberg algebras. Considering the one-dimensional case in the minisuperspace arena, the bouncing Universe dynamics of loop quantum cosmology can be recovered.

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Marco Valerio Battisti, Stjepan Meljanac. 2009-02-10. Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry. https://doi.org/10.1103/physrevd.79.067505

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