Generalized 't Hooft-Nobbenhuis complex transformation from a modified Lorentz transformation

Abstract

A generalized form of 't Hooft-Nobbenhuis Complex Transformation of space-time was derived as a canonical transformation of coordinates from a modified Lorentz Transformation equivalent to an Improper Lorentz Transformation. The modification of the Lorentz Transformation was done via a matrix transformation of the Lorentz Boost and imaginary transformation of the rapidity.