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It is said that time stands still for a photon because, in your frame of reference, the photon is moving at the speed of light. As a clock approaches the speed of light in your frame of reference, it slows down from your point of view. But a photon is not a clock; a clock must consist of matter; it must have cycles that can be counted so that you can perceive that time is passing from the clock's point of view. In the photon's frame of reference, the universe is contracted to zero thickness in the direction of travel. That is why, from the photon's point of view, no time passes between point A and point B. The distance, from the photon's point of view, is zero, so the time to get there is zero. From your point of view, the distance is not zero, so time does pass as the photon goes from A to B. That is true from the viewpoint of every observer, and every observer perceives the same speed of light. If that doesn't make sense to you, then you don't yet have a good understanding of special relativity. Watch a few more videos, and eventually, it will become clear to you.
A simple way to define it is to acknowledge that we can see a recoil, and we can see a annihilation. but we can not see what lies in between those two. And if it isn't 'there' then it is very hard to define a time to it 'not' being there =The recoil I'm talking about is when the photon has left. So it's not the photon we see having it..
What defines the speed of light? Another way of looking at this is they travel at infinite speed.
MikeS,Speed is distance divided by time. In its own reference frame, a photon travel zero distance in zero time. Zero divided by zero is not infinity. The speed of light is the same in every reference frame by definition.