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Eugine_Nier comments on On accepting an argument if you have limited computational power. - Less Wrong
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More precisely, the core of our current best available (but still known to be flawed) physics are QM and GR and we do not even have a consistent model fully incorporating both.
Furthermore, we can't model anything more complicated then a hydrogen atom with QM without resorting to approximations, and by the time you get to something as complicated as bulk matter or atomic nuclei of heavy elements, we can't even verify that the predictions of QM are what we in fact observe.
Very true, but we can test at least some multiple-particle predictions by attempting to build a small quantum computer