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

Understand

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.