Cosmological constraints on GUP from modified Friedmann equations

Serena Giardino, Vincenzo Salzano
2021 European Physical Journal C: Particles and Fields  
AbstractThe 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
more » ... ls. We find for the parameter in the quadratic formulation the constraint $$\alpha ^{2}_{Q}<10^{59}$$ α Q 2 < 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.
doi:10.1140/epjc/s10052-021-08914-2 fatcat:nm2hcgxym5hepi5rxburuj7loi