Deformed special relativity using a generalized 't Hooft-Nobbenhuis complex transformation

Abstract

A generalized form of a 't Hooft-Nobbenhuis complex space-time transformation is applied on momentum space from which a new model of Deformed Special Relavity at Planck Scale is proposed. The model suggests an energy-dependent Planck's "constant" that varies in space and time and quantum mechanics as a low-energy approximation of perhaps a more fundamental theory at Planck Scale.