  If the neutrino analogue of the M\"ossbauer effect, namely, recoiless
emission and resonant capture of neutrinos is realized, one can study neutrino
oscillations with much shorter baselines and smaller source/detector size when
compared to conventional experiments. In this work, we discuss the potential of
such a M\"ossbauer neutrino oscillation experiment to probe nonstandard
neutrino properties coming from some new physics beyond the standard model. We
investigate four scenarios for such new physics that modify the standard
oscillation pattern. We consider the existence of a light sterile neutrino that
can mix with \bar \nu_e, the existence of a Kaluza-Klein tower of sterile
neutrinos that can mix with the flavor neutrinos in a model with large flat
extra dimensions, neutrino oscillations with nonstandard quantum decoherence
and mass varying neutrinos, and discuss to which extent one can constrain these
scenarios. We also discuss the impact of such new physics on the determination
of the standard oscillation parameters.
