  Future detectors could be used as a gravitational microscope to probe the
horizon structure of merging black holes with gravitational waves. But can this
microscope probe the quantum regime? We study this interesting question and
find that (i) the error in the distance resolution is exponentially sensitive
to errors in the Love number, and (ii) the uncertainty principle of quantum
gravity forces a fundamental resolution limit. Thus, although the gravitational
microscope can distinguish between black holes and other exotic objects, it is
resolution limited well above the Planckian scale.

General Relativity and Quantum Cosmology;High Energy Astrophysical Phenomena;High Energy Physics - Phenomenology;High Energy Physics - Theory