Deformed Special Relativity using a Generalized 't Hooft-Nobbenhuis Complex Transformation

Abstract

A generalized form of '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 vary in space and time and Quantum Mechanics as a low-energy approximation of perhaps a more fundamental theory at Planck Scale.

4 pages, accepted paper in the Proceedings of Physics Society of the Philippines Physics Conference on October 20-22, 2021

References in corpus (3)

• A mass-extended 't Hooft-Nobbenhuis complex transformations and their consequences
• Modified Lorentz transformations in deformed special relativity
• A matrix generalization of Euler identity e^(ix) = cosx + i sinx