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Free will theorem : ウィキペディア英語版
Free will theorem
The free will theorem of John H. Conway and Simon B. Kochen states that, if we have a free will in the sense that our choices are not a function of the past, then, subject to certain assumptions, so must some elementary particles. Conway and Kochen's paper was published in ''Foundations of Physics'' in 2006. They published a stronger version of the theorem in 2009.
==Axioms==
The proof of the theorem as originally formulated relies on three axioms, which Conway and Kochen call "fin", "spin", and "twin". The spin and twin axioms can be verified experimentally.
# Fin: There is a maximum speed for propagation of information (not necessarily the speed of light). This assumption rests upon causality.
# Spin: The squared spin component of certain elementary particles of spin one, taken in three orthogonal directions, will be a permutation of (1,1,0).
# Twin: It is possible to "entangle" two elementary particles, and separate them by a significant distance, so that they have the same squared spin results if measured in parallel directions. This is a consequence of quantum entanglement, but full entanglement is not necessary for the ''twin'' axiom to hold (entanglement is sufficient but not necessary).
In their later paper, "The Strong Free Will Theorem",〔 Conway and Kochen replace the Fin axiom by a weaker one called Min, thereby strengthening the theorem. Min asserts only that two experimenters separated in a space-like way can make choices of measurements independently of each other. In particular it is not postulated that the speed of transfer of ''all'' information is subject to a maximum limit, but only of the particular information about choices of measurements.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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