Topic summary
Minkowski Space
Extracted from the Wikipedia article Minkowski spacetime.
Complexified Minkowski spacetime
Complexified Minkowski spacetime is defined as Mc = M ⊕ iM. Its real part is the Minkowski spacetime of four-vectors, such as the four-velocity and the four-momentum, which are independent of the choice of orientation of the space. The imaginary part, on the other hand, may consist of four pseudovectors, such as angular velocity and magnetic moment, which change their direction with a change of orientation. A pseudoscalari is introduced, which also changes sign with a change of orientation. Thus, elements of Mc are independent of the choice of the orientation.