Light and speed of light create an interesting paradox. At the speed of light, with time totally dilated, there is no time for chaos. There is also no time for finite change. The question is, how can light red shift or do any of the other tricks we can make it do in the lab? It is not behaving like something that is moving at C, yet we know it is.
Einstiens space/time ... If space was warped like a mountain range ... The light must travel down the slopes and eventually get to us .... but it wants to travel straight to us like a bird over the ridges but it has to take the road .. the slopes .
The photon always wants the as the crow flies analogy but cant and this force causes the red shift becuase it is moving away and it wants to travel from one mountain top to us like the bird but takes the jaggered warped mountain path...
Simarlerly when it is moving toward us its also slightly moving as the crow flies aswell as traversing down the mountain towards us .... going in the same direction makes it blue shifted!
So with a Black hole it travels all the way down the mountain ...deep down the valley untill it reaches a point where its want to go as the crow flies is the same as its warp/space path and it freezes in the Black hole Event horizon.