KentuckyFC writes "Philosophers have long wondered at the profound link between mathematics and physics but how deep does this connection go? Pretty deep according to the results of a quantum experiment which explores the nature of mathematical undecidability. Here's how: any logical system must be based on axioms, which are propositions that are defined to be true. A proposition is logically independent from these axioms if it can neither be proved nor disproved from them; mathematicians say it is undecidable. In the experiment researchers encoded a set of axioms as quantum states. A particular measurement on this system can then be thought of as a proposition which, if undecidable, yields a random result, just as they found. "This sheds new light on the (mathematical) origin of quantum randomness in these measurements," say the researchers (abstract)." Link to Original Source
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