Uncertainty principle and gravity

We give a pedagogical introduction to the generalized uncertainty principle (GUP), by showing how it naturally emerges when the action of gravity is taken into account in measurement processes. We review some physical predictions of the GUP. In particular we focus on the bounds that present experimental tests can put on the value of the deformation parameter $\beta$, and on the prediction of black hole remnants, which are a good candidate for dark matter. In passing, we also quote a theoretical value computed for $\beta$, and swiftly comment on the vast parameter region still unexplored, and to be probed by future experiments.