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

preprint2009arXivOpen access

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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