Swiss AI researcher Jürgen Schmidhuber makes a computational argument for the possibility that 
our universe is completely deterministic - apparently random events are not, and therefore predictions for everything (everything!) can be compressed into short strings.  I got this from the list of "higher order" 
conspiracy theories here.  Note that he's not making a formal argument but rather making a weaker statement that we have no evidence that our universe does not have these characteristics.
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