Superluminal transformations using either complex space-time or real space-time symmetry

In order to adequately discuss the transformations between the space-time co-ordinates of two inertial frames moving superluminally relative to each other, it is necessary to use either four complex space-time co-ordinates or six real space-time co-ordinates - three of space and three of time. A major difficulty then arises in the physical understanding of the extra parameters. In these two cases, considered separately, specific transformations are found for both the superluminal and the subluminal cases. It is found that in the subluminal cases the extra co-ordinates are completely uncoupled from the original ones, while in the superluminal cases there is a necessary coupling. (author)