  Muon Colliders would usher in a new era of scientific investigation in the
field of high energy particle physics. The cooling of muon beams is proving to
be the greatest obstacle in the realization of a Muon Collider. Monte Carlo
simulations of a muon cooling scheme based on Frictional Cooling were
performed. Critical issues, which require further study, relating to the
technical feasibility of such a scheme are identified. Frictional Cooling, as
outlined in this paper, provides sufficient six-dimensional emittance to make
luminous collisions possible. It holds exciting potential in solving the
problem of Muon Cooling.
