> Your motion through the x dimension in space, for example, is completely independent of your motion through the other two (y and z) spatial dimensions.
If one considers motion at (or near) the speed of light, that speed would have to be shared among space dimensions, just as with the time dimension. So not that independent.
We constantly move at the speed of light through space-time.
If we start to move through space, we slow down through time.
If we go full speed through space, like a photon, we will not experience time at all. So from the perspective of a photon, everything happens at the same time, from the big bang to the heat death.
Think of it as a maximum vector length. As one component of the vector nears the maximum length, the other components most reduce until the vector is aligned with only one axis and at the maximum length - the other components must all equal zero.
That is - to my limited understanding - essentially why photons are “timeless”.
If one considers motion at (or near) the speed of light, that speed would have to be shared among space dimensions, just as with the time dimension. So not that independent.