The Consistency of Quantum Mechanics Implies its Non-Determinism
Iegor Reznikoff

TL;DR
This paper demonstrates that assuming the logical consistency of quantum mechanics inherently leads to its non-deterministic nature, independent of observer free will, thus linking consistency to indeterminism.
Contribution
It shows that the non-determinism of quantum mechanics can be derived solely from its logical consistency, removing the need for assumptions about observer free will.
Findings
Logical consistency implies non-determinism in QM
Observer free will is not necessary for quantum indeterminism
Quantum mechanics' non-contradiction leads to inherent randomness
Abstract
In a previous paper (arXiv:1008.3661v1[quant-ph] 21 Aug 2010), we have given a purely logical proof of the Conway and Kochen Free Will theorem in QM: the freedom of the observer implies the freedom of the observed particle. Here we show that the hypothesis of the observer's freedom is not necessary: the assumption of the (informal) consistency (non contradiction) of QM implies its non-determinism relative to physical events (the freedom of observed particles).
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Taxonomy
TopicsQuantum Mechanics and Applications · Philosophy and History of Science · Quantum Information and Cryptography
