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

Marco Valerio Battisti; Stjepan Meljanac

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

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arxiv 0812.3755 v3 pith:PMXLLLDQ submitted 2008-12-19 hep-th gr-qc

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

Marco Valerio Battisti , Stjepan Meljanac This is my paper

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keywords heisenbergnon-commutativerelationssnyderuncertaintyalgebrasarenabouncing

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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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