论文标题

Wigner和Bell不平等关系以及Kolmogorov的公理

Wigner and Bell Inequalities relationships and Kolmogorov's Axioms

论文作者

Velozo, Felipe Andrade, Nogales, José A. C.

论文摘要

在这项工作中,我们表明,贝尔的不平等侵犯了违反这样的事实,即当在理想化的实验中应用不平等的条件不会被尊重。这样的条件是概率所需的数量必须非负面,并且这种条件由$ | \ cal {p(w)} | = \ cal {p(w)} $表示。 We will also show that, when trying to define the values of the joint probabilities of $ (Z_1, Z_2, Z_3) $, through the values obtained from the $ (Z_j, Z_k) $ pairs, we find that these values are negative, so not Kolmogorov's axiom is respected: $\cal{P(w)}\geq0$ in cases where Bell's inequality is violated, and we also show that only such如果违反Wigner的不平等,并且这两种违规行为与违反Kolmogorov的公理之一有关,则可能违反。在本文的结尾,我们建议对所涉及的概率进行新的解释,以避免负面概率的情况和违反贝尔的不平等现象以及威格纳(Wigner)的不平等现象。

In this work, we show that Bell's inequality violation of arise from the fact that the condition imposed upon the development of inequality is not respected when it is applied in the idealized experiment. Such a condition is that the quantities taken by probability must be non negative, and such a condition is represented by $|\cal{P(w)}|=\cal{P(w)}$. We will also show that, when trying to define the values of the joint probabilities of $ (Z_1, Z_2, Z_3) $, through the values obtained from the $ (Z_j, Z_k) $ pairs, we find that these values are negative, so not Kolmogorov's axiom is respected: $\cal{P(w)}\geq0$ in cases where Bell's inequality is violated, and we also show that only such violation is possible if Wigner's inequality, in a certain arrangement, is violated, and that both violations are related to the violation of one of Kolmogorov's axioms. At the end of the paper, we suggest a new interpretation of the probabilities involved, in order to avoid the situation of negative probabilities and the violation of Bell's inequality and, consequently, Wigner's inequality.

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