After having read the FAQ subforum, I still have hard time conceiving certain ideas which still are not clear to me. Especially about the "Rest frame of a photon"
While understanding every word of that post, it failed to help me confirm or reject my understanding of some ideas:
"In the rest frame of any object, the velocity of the object itself is tautologically zero. Relativity says that photons always move at the speed of light, c. Always. So right away we have a conflict; relativity says a photon would have to be moving at c in its own rest frame."
I understand that asking a photon to move at c in it's own rest frame would be problematic, though what I am asking in my OP is completely different. I wanted to know more precisely what would we be able to observe of the light if we happen to move a the speed of light in front on that same light ray. Would for the observer the light stop to exist in his frame of reference?
"Time and length cease to have meaning in the limit v→c. In that limit, all time and length intervals shrink to zero. In the rest frame of a photon, the coordinates of any point in the universe at any time in the past, any time in the future is identically zero. That just doesn't make a bit of sense."
On this one I am not so sure to understand. Does it mean that time and length cease to have meaning by framing light velocity to zero from an outside observer? Reason I am confused is because I don't see how it answer my question about a hypothetically situation where we would be traveling in space at the speed of light, not fixed at one point in space nor frozen in time but towards a specific direction where a light ray behind us or parallel to us would be heading as well.
Maybe I just have horrible formulated my OP question. In that case I will make one simpler.
If we travel at the speed of light, what will be observed by us about the lights traveling in the same direction as us during the whole time of the travel.
Sorry, if all this might seem a stupid question, it is just really not obvious for me, therefor I rather not dwell in misconception. Thank you in advance!