Test of Quantum Gravity in Optical Magnetometers

In this work, quantum gravity effects, which can potentially be measured in magnetometers through the Larmor frequency of atoms in an external magnetic field, are estimated. It is shown that the thermal motion of atoms can, in principle, produce measurable quantum gravity effects, given the precision of modern magnetometers. If the particle velocities are caused by some other mechanism, such as convection, it is shown that the quantum gravity effects may be observed with the magnetometer's proposed detection threshold. An actual state-of-the-art optical magnetometer experiment is being designed to search for these effects and is described in a companion paper by Maldaner et al. (2023) [1].