  We discuss the physics motivation for a program of Real Compton Scattering on
the proton in the regime where both the incident energy and the transverse
momentum transfer are large. It is shown that such a program can test which of
the various hard scattering mechanisms is dominant and can allow a measurement
of a new generalized form factor that is sensitive to both the flavor and spin
structure of the proton. It is further shown that the measurements are
experimentally feasible using existing or already planned equipment up to
incident energies of 12 GeV.
