对贝尔不等式的误解

Misunderstandings for Bell's Inequality

贝尔对自己的工作有两点误解:第一,贝尔用以导出贝尔不等式的隐变量理论具有一个极为特殊的性质:它原封不动地保留了全部经典概率论的运算规则,贝尔却把这种理论当成一般的"定域隐变量理论";第二,当贝尔从他的隐变量理论导出贝尔不等式时应用了两个命题,他把其中之一理解为"定域隐变量理论"的特征,而实际上导出贝尔不等式的却是另一命题.在此试图说明,没有定域隐变量理论也能导出贝尔不等式.此外,还考察了吉.洛查克对贝尔定理的异议.

It is pointed that Bell had two misunderstandings for his work ： Firstly, the hidden variable theory that he applied for deriving Bell＇ s inequality keeps wholly intact the operating rules of classical probabilistic theory, but he regarded it as the general local hidden variable theory. Secondly, in Bell＇ s work, the promise actually deriving Bell＇ s inequality is not the one that Bell regarded as the character of local hidden variable theory. Also, other versions can prove Bell＇ s inequality without local hidden variable theory and the Lochak＇ s objection against Bell＇s theory are examined.