It's really irking me that I cannot remember which one (might have been an episode of that American science show Morgan Freeman presents), but I saw a program a while back that went into the science behind these sorts of ideas (the universe is a simulation, the universe is a hologram, etc.) Though the question as posed here is, as Jorick pointed out, the "low-hanging fruit on the tree of philosophy", as an area of scientific investigation and research it's rather interesting. There was some guy at Berkeley looking into it, if I recall correctly. 

The bit I remember is: There's some debate on whether the Planck length is simply an arbitrary unit without physical significance, or whether it (or a length on the same order) potentially does have a physical significance as the smallest length it is possible to have - i.e. a quantum of space. This would mean space is discrete, rather than continuous - or, in other words, is "pixelated". This obviously has some pretty significant implications for the possibility of the universe being simulated in some way, as computers deal solely with things that can be quantised (bits of information, pixels on a screen, etc.)