The deformation parameter of the generalized uncertainty principle

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the deformation parameter $\beta$. We also describe a theoretical value computed for $\beta$, and comment on the vast parameter region still unexplored, and to be probed by future experiments.