engleski

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.

non-commutative space ; Snyder space ; generalized uncertainty relations ; loop quantum cosmology

Art. no. 067505.