  In this manuscript, working with a binary mechanical system, we examine the
effect of quantum gravity on the exceptional points of the system. On the one
side, we find that the exceedingly weak effect of quantum gravity can be sensed
via pushing the system towards a second-order exceptional point, where the
spectra of the non-Hermitian system exhibits non-analytic and even
discontinuous behavior. On the other side, the gravity perturbation will affect
the sensitivity of the system to deposition mass. In order to further enhance
the sensitivity of the system to quantum gravity, we extend the system to the
other one which has a higher-order (third-order) exceptional point. Our work
provides a feasible way to use exceptional points as a new tool to explore the
effect of quantum gravity.

Quantum Physics