Modification of Heisenberg uncertainty relations in non-commutative   Snyder space-time geometry
  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. 
Marco Valerio Battisti and Stjepan Meljanac