1203.2945 (Iegor Reznikoff)

A Class of Deductive Theories that cannot be Deterministic    [PDF]

Iegor Reznikoff

Although the concept of an observing device with memory is very simple and definable in terms of algorithmic machine, it is not compatible with a predictive theory involving this concept. This is sufficient to show that Physics as a whole cannot be deterministic; moreover, using the Conway-Kochen Free Will Theorem [1] and the simple logical proof of it we gave in [2], we show, without any need of free will or observer's freedom, that Quantum Mechanics are not deterministic. [1] J.Conway and S.Kochen, The Strong Free Will Theorem, AMS, vol 56/2, p.226-232, Providence, February 2009. [2] I.Reznikoff, A Logical Proof of the Free Will Theorem, arXiv:1008.3661v1 [quant-ph] 21 Aug 2010.

View original: http://arxiv.org/abs/1203.2945