hairyfigment comments on How accurate is the quantum physics sequence? - Less Wrong
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Even then it's not obvious that it's the best explanation. Also depends on what you mean by 'realist'.
Apparently Solvent's friend thinks otherwise. My own physics-grad-student friend said MWI looks like the best explanation, though he stressed our ignorance more.
Well, another approach is to decide that probability distributions are merely a classical approximation to density matrices.