::Shrug:: There's something important about the Planck distance, but I don't know enough physics to be able to say much more. Like Hawking radiation, It's something that only crops up when you start trying to do 'quantum gravity'.

It's tempting to imagine that the universe is something like the "Game Of Life" but with Planck sized cells, but what little I know about string theory makes this idea seem extremely naive. (And anyway, space could be both discrete and infinite.)