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Spin and Wind Directions II: A Bell State Quantum Model

机译:旋转和风向II:钟状态量子模型

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摘要

In the first half of this two-part article, we analyzed a cognitivepsychology experiment where participants were asked to select pairs ofdirections that they considered to be the best example of 'Two Different WindDirections', and showed that the data violate the CHSH version of Bell'sinequality, with same magnitude as in typical Bell-test experiments in physics.In this second part, we complete our analysis by presenting a symmetrizedversion of the experiment, still violating the CHSH inequality but now alsoobeying the marginal law, for which we provide a full quantum modeling inHilbert space, using a singlet state and suitably chosen product measurements.We also address some of the criticisms that have been recently directed atexperiments of this kind, according to which they would not highlight thepresence of genuine forms of entanglement. We explain that these criticisms arebased on a view of entanglement that is too restrictive, thus unable to captureall possible ways physical and conceptual entities can connect and form systemsbehaving as a whole. We also provide an example of a mechanical model showingthat the violations of the marginal law and Bell inequalities are generally tobe associated with different mechanisms.
机译:在这个分为两部分的文章的上半部分,我们分析了一项认知心理学实验,其中要求参与者选择他们认为是“两个不同风向”的最佳示例的一对方向,并表明数据违反了贝尔的CHSH版本第二部分,我们通过提出实验的对称形式来完成我们的分析,仍然违反了CHSH不等式,但现在也遵循了边际定律,为此我们提供了一个使用单重态和适当选择的乘积度量在希尔伯特空间中进行完整的量子建模。我们还解决了一些针对此类实验的批评,根据这些批评,他们不会强调存在真正的纠缠形式。我们解释说,这些批评基于过于严格的纠缠观点,因此无法捕捉到物理和概念实体可以连接并形成整体系统的所有可能方式。我们还提供了一个机械模型示例,该模型表明违反边际定律和贝尔不等式通常与不同的机制相关。

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