论文标题
钟声实验和演员的局限性
The Bell experiment and the Limitations of Actors
论文作者
论文摘要
考虑到两个演员爱丽丝和鲍勃的著名钟声实验。首先，审查了导致CHSH不平等的简单推论，并审查了文献中的一些论点。然后，在讨论爱丽丝对情况的分析之前，我接受了某些背景主题。一个重要的观点是，她的思想受到此背景下希尔伯特空间的二维事实的限制。关于决策过程中思维限制的一般性陈述来自概念变量对量子理论的重建的最新结果。这些结果适用于任何决策情况。让贝尔实验的所有数据移交给执行数据分析的新演员查理。但是他的思想也有限：在实验确定的背景下，他有一个四维的希尔伯特空间。我表明，这意味着爱丽丝和查理都不能有一个论点导致CHSH不平等作为做出与实验相关的决策的背景。查理可能是任何数据分析师，他可以与任何人进行沟通。有人认为，在对贝尔局势做出经验决定时，CHSH的论点无法说服理性的人。
The well known Bell experiment with two actors Alice and Bob is considered. First the simple deduction leading to the CHSH inequality under local realism is reviewed, and some arguments from the literature are recapitulated. Then I take up certain background themes before I enter a discussion of Alice's analysis of the situation. An important point is that her mind is limited by the fact that her Hilbert space in this context is two-dimensional. General statements about a mind's limitation during a decision process are derived from recent results on the reconstruction of quantum theory from conceptual variables. These results apply to any decision situation. Let all the data from the Bell experiment be handed over to a new actor Charlie, who performs a data analysis. But his mind is also limited: He has a four-dimensional Hilbert space in the context determined by the experiment. I show that this implies that neither Alice nor Charlie can have the argument leading to the CHSH inequality as a background for making decisions related to the experiment. Charlie may be any data analyst, and he may communicate with any person. It is argued that no rational person can be convinced by the CHSH argument when making empirical decisions on the Bell situation.
