[0811.4542] Mathematical undecidability and quantum randomness
Posted by Arjendu on December 2, 2008
Another very cool result from this week. Anton Zeilinger and co-conspirators claim a link between mathematical undecidability and quantum physics. Specifically, given appropriate coding, “whenever a mathematical proposition is undecidable within the axioms encoded in the state, the measurement associated with the proposition gives random outcomes.” Thus, they claim that “quantum randomness is irreducible and a manifestation of mathematical undecidability”.