In the popular science books/magazines I read, they often state that as one approaches the even horizon, eventually an observer will see an object, person, etc. freeze, as if time has stopped. But, the thing crossing crossing the horizon doesn't notice any effects (besides tidal forces & things of that nature). Anyway, we see things around black holes such as accretion disks (or at least what we think are black holes). Wouldn't the accretion disk also appear to freeze, or slow down the closer it comes to the black hole? If so, do these effects show up in the data scientists have collected already? Just curious about this phenomenon.