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Eugine_Nier comments on Can somebody explain this to me?: The computability of the laws of physics and hypercomputation - Less Wrong
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Well, this is a pretty weak statement. If someone wrote down a version of the laws of physics that wasn't computable, you wouldn't be able to use it to compute any predictions, so no one would use such laws.
It's not hard to wright down hypothetical non-computable that can nonetheless be tested. Note in particular that while both QM and GR are both theoretically computable, actually computing anything beyond the absolute very simplest examples with either of them is beyond our ability.