Accardi contra Bell（cum mundi）：不可能的耦合
Accardi contra Bell (cum mundi): The Impossible Coupling
摘要：
实验上观察到的贝尔不等式的违反被认为是局部实在论在处理量子实在时的失败。然而，有限的统计数据和真实实验的时序性质仍然允许局部现实主义的漏洞，称为记忆漏洞。我们表明，随机设计的方面实验关闭这个漏洞。我们的主要工具是van de Geer（2000）的经典Bernstein（1924）不等式的上鞅版本，保证在根n尺度下，有界上鞅差之和的分布的尾不重于高斯。这些结果被用来指定作者和L之间的公共赌注协议。Accardi在最近的论文（Accardi and Regoli，2000 a，b，2001; Accardi，Imafuku and Regoli，2002）中声称已经制作了一套计算机程序，可以在计算机网络上运行，这将模拟违反贝尔不等式。在样本量为3万的情况下，只要我们坚持序贯随机设计，两种错误概率都保证小于百万分之一。结果还表明，赫斯和菲利普（2001年a，b）最近的索赔是错误的，贝尔定理失败，因为时间现象被认为是贝尔忽视。
英文摘要：
An experimentally observed violation of Bell's inequality is supposed to show the failure of local realism to deal with quantum reality. However, finite statistics and the time sequential nature of real experiments still allow a loophole for local realism, known as the memory loophole. We show that the randomized design of the Aspect experiment closes this loophole. Our main tool is van de Geer's (2000) supermartingale version of the classical Bernstein (1924) inequality guaranteeing, at the root n scale, a not-heavier-than-Gaussian tail of the distribution of a sum of bounded supermartingale differences. The results are used to specify a protocol for a public bet between the author and L. Accardi, who in recent papers (Accardi and Regoli, 2000a,b, 2001; Accardi, Imafuku and Regoli, 2002) has claimed to have produced a suite of computer programmes, to be run on a network of computers, which will simulate a violation of Bell's inequalites. At a sample size of thirty thousand, both error probabilities are guaranteed smaller than one in a million, provided we adhere to the sequential randomized design. The results also show that Hess and Philipp's (2001a,b) recent claims are mistaken that Bell's theorem fails because of time phenomena supposedly neglected by Bell.
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。
