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domingo, dezembro 21, 2008

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(Submitted on 27 Nov 2008)


Abstract: We propose a new link between mathematical undecidability and quantum physics. We demonstrate that the states of elementary quantum systems are capable of encoding mathematical axioms and show that quantum measurements are capable of revealing whether a given proposition is decidable or not within the axiomatic system. Whenever a mathematical proposition is undecidable within the axioms encoded in the state, the measurement associated with the proposition gives random outcomes. Our results support the view that quantum randomness is irreducible and a manifestation of mathematical undecidability.
Comments: 9 pages, 4 figures
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:0811.4542v1 [quant-ph]

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