Alejandro1 comments on Stupid Questions Thread - January 2014 - Less Wrong
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That is helpful, and interesting, though I think I remain a bit confused about the idea of 'moving through time' and especially 'moving through time quickly/slowly'. Does this imply some sort of meta-time, in which we can measure the speed at which one travels through time?
And I think I still have my original question: if a photon travels through space at c, and therefore doesn't travel through time at all, is the photon at its starting and its final position at the same moment? If so, in what sense did it travel through space at all?
At the same moment with respect to whom? That is the question one must always ask in relativity.
The answer is: no, emission and arrival do not occur at the same moment with respect to any actual reference frame. However, as we consider an abstract sequence of reference frames that move faster and faster approaching speed c in the same direction as the photon, we find that the time between the emission and the reception is shorter and shorter.