In a recent thread discussing the age of photons it is mentioned that from the photon's perspective, the universe is two-dimensioned. I take it that these two dimensions are both perpendicular to the direction of travel, as the photon travels at the speed of light and thus is everywhere on its path at once.
However, if I'm not mistaken, a photon can change direction. Thus, the 2-D plane perpendicular to the direction of the photon also changes. How is this fact perceived by the photon?
Of course I am aware that a photon has neither sentience nor time, so what does this perception even mean for a photon? If it has no meaning, then what is the meaning of 2-D space for the photon, seeing how it can never interact with, be affected by, affect, or travel to any other location on that 2-D plane?
