  We define the notion of mutual quantum measurements of two macroscopic
objects and investigate the effect of these measurements on the velocities of
the objects. We show that multiple mutual quantum measurements can lead to an
effective force emerging as a consequence of asymmetric diffusion in the
velocity space. We further show that, under a certain set of assumptions
involving the measurements of mutual Doppler shifts, the above force can
reproduce Newton's law of gravitation. Such a mechanism would explain the
equivalence between the gravitational and the inertial masses. For a broader
class of measurements, the emergent force can also lead to corrections to
Newton's gravitation.
