Over the Head, Complex

What then is this mysterious complex component, $i{v}_{s}$?

${v}_{s}$$\nwarrow \nearrow$  ${v}_{t}$
    $\swarrow$$i{v}_{s}^{ ' }$

The time dimension is always orthogonal to the space dimension.  The direction of ${v}_{s}$ is a reference, orthogonal to this direction is the time dimension.  The value of ${v}_{s}$ is not that important as far as a directional reference is concerned.  One way to generate $i{v}_{s}^{ ' }$ is to have space rotate about the direction of ${v}_{s}$, perpendicular to ${v}_{s}$.   Space moving, is relatively the same as moving through space.  This then makes time travel possible.  Time travel in both direction, to the future and to the past, as $i{v}_{s}^{ ' }$ can be made to add to  ${v}_{t}$ or substrate from it. Theoretically.