Cosmological constraints on the Generalized Uncertainty Principle from
  modified Friedmann equations
  The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts
to a theory of quantum gravity and predicts the existence of a minimum length
in Nature. In this work, we consider two cosmological models arising from
Friedmann equations modified by the GUP (in its linear and quadratic
formulations) and compare them with observational data. Our aim is to derive
constraints on the GUP parameter and discuss the viability and physical
implications of such models. We find for the parameter in the quadratic
formulation the constraint $\alpha^{2}_{Q}<10^{59}$ (tighter than most of those
obtained in an astrophysical context) while the linear formulation does not
appear compatible with present cosmological data. Our analysis highlights the
powerful role of high-precision cosmological probes in the realm of quantum
gravity phenomenology.
