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宏观世界中贝尔不等式的违反

The Violation of Bell Inequalities in the Macroworld

Diederik Aerts, Sven Aerts, Jan Broekaert, Liane Gabora

备注：
17 pages, 9 figures
发表信息：
Foundations of Physics, Vol. 30(10), 2000
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摘要：

我们证明了在宏观世界中贝尔不等式是可以被违反的。宏观世界违反说明使用一个例子，涉及连接的船只的水。我们表明，无论违反不平等发生在微观世界或在宏观世界，它是识别不相同的事件，起着至关重要的作用。具体来说，我们证明，如果不相同的事件是一贯的区别，贝尔型Pitowsky不等式不再违反，即使是玻姆的例子中的两个纠缠的自旋1/2量子粒子。我们展示了如何贝尔不等式可以违反认知，特别是在抽象概念和这些概念的具体实例之间的关系。这支持了真正的量子结构存在于心灵中的假设。我们引入了一个模型，其中的非局域性和量子不确定性的程度参数化，并表明，增加非局域性增加的程度的违反，而增加量子不确定性减少的程度的违反。

英文摘要：

We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the microworld or in the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We show how Bell inequalities can be violated in cognition, specifically in the relationship between abstract concepts and specific instances of these concepts. This supports the hypothesis that genuine quantum structure exists in the mind. We introduce a model where the amount of nonlocality and the degree of quantum uncertainty are parameterized, and demonstrate that increasing nonlocality increases the degree of violation, while increasing quantum uncertainty decreases the degree of violation.

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