Astronomy Question:

You may have read that as you approach the event horizon of a black hole, time will stop for you.

Indeed, for any observers, it will appear that you go slower and slower and never quite reach it (ignoring the problems that you would be crushed to death by the gravity!)

However, if your watch were still to work, you would look down and perceive time to be passing as normal.

It is due to the immense gravity that the light you emit takes longer and longer to reach the external observer.