In one second a photon moves 3x10^8 meters through the three spatial dimensions.
Light's velocity is 3x10^8 m/s.
If the photon moved at all in the fourth dimension, it's velocity would no longer be 3x10^8 m/s, but something different.
Ergo a photon must remain stationary in the fourth dimension.
QED
Edit:
Einstein and Minkowski defined the fourth dimension (I'm rather surprised I have to remind all the experts here of this). Do you agree? Please use their definition. How far does a photon move in the 4th dimension when it travels one light second?
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