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I'm not an expert, but one of the most exciting realizations I've had over the last few years is just how close quantum theory is to various "ordinary" kinds of probability theory, including Kolmogorov's classical theory. Now probability theory is not so boring for me.

Quantum physics has inspired so much work in other fields! Check out this guy's work for examples: https://scholar.google.com/citations?user=wdhkzPMAAAAJ&hl=en

I don't agree with Khrennikov's interpretation of quantum mechanics (he's a realist whereas I tend to appreciate the more "mystical" feeling interpretations of quantum mechanics), but he and others' work on the connections between quantum physics and classical probability theory, as well as on non-physics applications of quantum theoretic tools, is crazy thought provoking.




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