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I have wondered about this. I like your pixel analogy, I think I will use that when I try to describe this issue to people. One of the things that im curious about this is that, doesn't Zeno's paradox prove that we must live in a finite universe? I hope Im thinking of the right paradox here. Is this the one to do with finishing the race? and that in order to do so you must first cross the half way line, and then in order to do that you must cross the quarterline. and keep asking this question ad infinitum.... If we do live in the pixel universe then interesting questions regarding neutonian motion crop up. Particularly his laws concerning the conservation of energy regarding momentum. In a pixel world (im using pixel here to denote 'the smallest possible unit of space') surely in order for objects to move at different speeds some will need to effectively 'stop' for a short period of time, and then after a certain really really small amount of time has passed, 'teleport' to the next pixel along? The start/stop nature of that means that neutonian momentum only holds true for macroscale objects but not on a microscale (and we all know what schrodinger would have to say about that).
bearing all that in mind. Im curious what conclusions other people might draw.
any thoughts anyone?