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arXiv 2008.02633physics.gen-ph
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Vorob'ev圈性和Berry相位在EPR佯谬和Bell检验中的作用

On the roles of Vorob'ev cyclicities and Berry's phase in the EPR paradox and Bell-tests

David H. Oaknin, Karl Hess

摘要:

著名的John S.从纯数学的观点来看,贝尔可以被看作是伏罗勃夫型拓扑组合循环的直接结果,这些循环是在一个共同的概率空间上用函数形成的。然而,当考虑到与规范对称性和几何组合相有关的因素时,对这些周期性的解释变得更加微妙。这些与物理学相关的考虑允许在爱因斯坦的因果物理数学领域内违反所有贝尔型不等式。

英文摘要:

The well known inequalities of John S. Bell may be regarded, from a purely mathematical viewpoint, as a direct consequence of Vorob'ev-type topological-combinatorial cyclicities formed with functions on a common probability space. However, the interpretation of these cyclicities becomes more subtle when considerations related to gauge symmetries and geometric-combinatorial phases are taken into account. These physics related considerations permit violations of all Bell-type inequalities within the realm of Einstein's causal physical-mathematics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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