  The response of inertial particle detectors coupled to a scalar field
satisfying nonlocal dynamics described by nonanalytic functions of the
d'Alembertian operator $\Box$ is studied. We show that spontaneous emission
processes of a low energy particle detector are very sensitive to high-energy
nonlocality scales. This allows us to suggest a nuclear physics experiment
($\sim$ MeV energy scales) that outperforms the sensitivity of LHC experiments
by many orders of magnitude. This may have implications for the falsifiability
of theoretical proposals of quantum gravity.
