Cosmological constraints on GUP from modified Friedmann equations

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