This is a little frustrating when trying to fit this into the idea of infinity. When you mentioned the same principle also applies to video, this really hit home for me.

Since, as far as we know, time can continue on indefinitely - doesn't this mean that there is also an indefinite amount of viewable events that can transpire? How is it possible that all of these infinite amount of viewable events can be depicted in a finite number of frames per second?

This seems, at the very least, like a paradox to me.

What's worse, as you already mentioned, is that the frame rate or bit rate could also be reduced, and we humans would still be able to tell what was happening, albeit at a much lower quality. This means the number of possible viewable/hearable events would be significantly smaller!

How does that jive with an infinite universe?

MY MIND IS BEING TORN APART FROM THE INSIDES