# Constraining the generalized uncertainty principle with the atomic weak-equivalence-principle test

## TL;DR

This paper uses atom interferometry experiments to set upper bounds on parameters of generalized uncertainty principles, linking quantum gravity models with experimental tests of the weak equivalence principle.

## Contribution

It provides new experimental bounds on GUP parameters using atomic WEP tests, connecting quantum gravity theories with laboratory experiments.

## Key findings

- Bound of 10^45 on Kempf-Mangano-Mann GUP proposal
- Bound of 10^27 on Maggiore's GUP proposal
- Current bounds are far from the theoretical predictions, leaving room for future improvements.

## Abstract

Various models of quantum gravity imply the Planck-scale modifications of Heisenberg's uncertainty principle into a so-called generalized uncertainty principle (GUP). The GUP effects on high-energy physics, cosmology, and astrophysics have been extensively studied. Here, we focus on the weak-equivalence-principle (WEP) violation induced by the GUP. Results from the WEP test with the $^{85}$Rb-$^{87}$Rb dual-species atom interferometer are used to set upper bounds on parameters in two GUP proposals. A $10^{45}$-level bound on the Kempf-Mangano-Mann proposal, and a $10^{27}$-level bound on Maggiore's proposal, which are consistent with bounds from other experiments, are obtained. All these bounds have huge room for improvement in the future.