This paper aims at reproducing quantum mechanical (QM) spin and spin entanglement results using a realist, stochastic, and local approach, without the standard QM mathematical formulation. The concrete model proposed includes the description of Stern–Gerlach apparatuses and of Bell test experiments. Single particle trajectories are explicitly evaluated as a function of a few stochastic variables that they assumedly carry on. QM predictions are retrieved as probability distributions of similarly-prepared ensembles of particles. Notably, it is shown that the proposed model, despite being both local and realist, is able to violate the Bell–CHSH inequalities by exploiting the coincidence loophole and thus intrinsically renouncing to one of the Bell’s assumptions.

中文翻译：

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自旋和自旋纠缠的局部现实量子力学模型

本文旨在使用现实主义、随机和局部方法再现量子力学 (QM) 自旋和自旋纠缠结果，而无需标准 QM 数学公式。提出的具体模型包括对 Stern-Gerlach 装置和贝尔测试实验的描述。单粒子轨迹被明确评估为它们假设进行的一些随机变量的函数。QM 预测被检索为类似准备的粒子集合的概率分布。值得注意的是，结果表明，尽管提出的模型既是局部的又是现实的，但能够通过利用巧合漏洞来违反贝尔-CHSH 不等式，从而本质上放弃贝尔的假设之一。