Abstract:This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed. Their original versions state that some property Φ(x) holds for P-almost all x∈X, where P is a probability measure on some space X. Their more refined (and typically more recent) formulations show that Φ(x) holds for all P-random x∈X. The computational notion of P-randomness used here generalizes the on… Show more
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