Martin Löf - Solovay - Chaitin Axiom of Reduction versus Von Mises - Church Axiom of Reduction

Details Martin Löf - Solovay - Chaitin Axiom of Reduction versus Von Mises - Church Axiom of Reduction Martin Löf - Solovay - Chaitin Axiom of Reduction versus Von Mises - Church Axiom of Reduction

2009-04-18

arxiv.org/abs/0904.2782v1

Physics

Mathematical Physics

Scientific paper

Under the assumption that the quantum random number generator Quantis by Id Quantique is a fair quantum coin, experimental indications of the fact that independent tosses of a quantum coin don't pass the Iterated Logarithm Randomness' Test are shown. The consequential observed experimental violation of the Martin L\"{o}f - Solovay - Chaitin Axiom of Reduction of Quantum Mechanics is then interpreted as the indication of the necessity of replacing it with the weaker Von Mises - Church Axiom of Reduction whose Game Theoretic meaning is explained.

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