There is a t associated with every x, xy and xyz. So, moving even in 3d changes that.
But jumping to higher dimensions (say 4th or 5th), you are tagged with additional information (say alpha and omega) just like when you jump to a lower dimension, your info is lost.
Now, between us and jinns, for example, we may have different alphas and omegas describing the two is different ways in the real number of dimensions created.