Self-Completeness in Alternative Theories of Gravity

It has recently been shown via an equivalence of gravitational radius and Compton wavelength in four dimensions that the trans-Planckian regime of gravity may by semi-classical, and that this point is defined by a minimum horizon radius commensurate with the Planck mass. We extend the formalism to gravity in the context of Randall-Sundrum and the generalized uncertainty principle.