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It's also worth noting that it also experiences zero distance. If you're willing to tie your brain in knots, a photon doesn't exist. Instead, space-time flexes so that 1 point touches another, momentarily. Energy is transferred, and space-time recoils back. That flex would be mathematically identical to a photon traversing the intervening space-time.
There's a reason we use photons however. Such twisted space is effectively impossible for our brains to usefully comprehend.
I don't know if that analogy works, because from the perspective of an observer, a photon doesn't travel instantaneously. It travels at the speed of light.
That's why I said space-time, not just space. Generally worked with in the form of [X,Y,Z,iT] to make them all behave space like. Basically 2 4D positions become the same position. The fact that the 2 positions are displaced in time is almost incidental. The rules for the transformation however still have to collapse down to the same underlying measurements, so it's a lot more complex than 2 arbitrarily points.