Discrete time, living life frame-by-frame

I've been thinking about discrete time since I was a kid. The slight obsession all started thanks to a Scientific American Magazine article.

Discrete time is like grains of sand
falling through an hourglass

The discrete time theory's simple. Time isn't fluid or continuous. It's chunky. Like grains of sand falling through an hourglass. Life doesn't roll ahead smoothly, but pops forward like the frames of a movie. But just like a movie, the "ticks" are so small, they're indistinguishable to human eyes.

If that's true, all motion boils down to teleportation.

Think about it.

If you could go ridiculously fast, say three meters per tick fast, you would only exist every three meters. 

There doesn't seem to be any way to disprove discrete time. But if it's legit, maybe you could prove it by hurling something really small at a very thin wall. If you timed it right, the object might not hit the wall.

Now, if time really is discrete, what happens outside of the "ticks"? Does anything exist? Is that God's time? Is that how He can be everywhere and do anything - because at any given moment, He has an eternity at His disposal?

Who knows? I certainly don't.