Philosophical Implications of Bell's Theorem

Dissertation, University of Alberta (Canada) (1987)
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Abstract

This study concerns Bells's Theorem that there can be no Bell local hidden variables theory for the quantum spin correlation statistics generated by pairs of spacelike separated spin--1/2 particles in the singlet spin state. Since Bell's Theorem rests on two assumptions: hidden variables and Bell locality, Bell's Theorem leaves us with a dilemma. According to Bell's dilemma we are faced with a choice between the hidden variables assumption and the assumption of Bell locality. Most theorists accept Bell locality and call the hidden variables assumption into question. ;After I have presented the general concept of a hidden variables theory and a variety of hidden variables strategies for quantum measurement statistics, I will present Bell's Theorem from both a theoretical and an experimental perspective. ;This study will then deal with three questions: Is Bell's Theorem an inevitable consequence of the use of classical probability theory in the analysis of quantum spin correlation measurement statistics? What is the relevance of Bell's Theorem to the realist/anti-realist debate? Is the standard view that quantum mechanics itself has no commitment to hidden variables correct? ;In discussing these questions, this study aims to shift the focus of the debate concerning Bell's Theorem away from the hidden variables assumption and onto the Bell locality assumption

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