  The Eppley Hannah thought experiment is often cited as justification for
attempts by theorists to develop a complete, consistent theory of quantum
gravity. A modification of the earlier "Heisenberg microscope" argument for the
necessity of quantized light, the Eppley-Hannah thought experiment purports to
show that purely classical gravitational waves would either not conserve energy
or else allow for violations of the uncertainty principle. However, several
subsequent papers have cast doubt as to the validity of the Eppley-Hannah
argument. In this paper, we attempt to resurrect the Eppley-Hannah thought
experiment by modifying the original argument in such a manner as to render it
immune to the present criticisms levied against it.
