Analysis of Wigner’s Set Theoretical Proof for Bell-Type Inequalities

• 作者: Hans De Raedt Karl Hess Kristel Michielsen
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: BELL INEQUALITY Local REALISM NONLOCALITY
• 年，卷（期）: 2017,（1）
• 页码范围: 57-67
• 页数: 11页
• 分类号: O1

摘要

We present a detailed analysis of the set theoretical proof of Wigner for Bell type inequalities with the following result. Wigner introduced a crucial assumption that is not related to Einstein’s local realism, but instead, without justification, to the existence of certain joint probability measures for possible and actual measurement outcomes of Einstein-Podolsky-Rosen (EPR) experiments. His conclusions about Einstein’s local realism are, therefore, not applicable to EPR experiments and the contradiction of the experimental outcomes to Wigner’s results has no bearing on the validity of Einstein’s local realism.