Local hidden-variable model of singlet-state correlations discussed in Czachor (Acta Phys Polon A 139:70, 2021a) is shown to be a particular case of an infinite hierarchy of local hidden-variable models based on an infinite hierarchy of calculi. Violation of Bell-type inequalities can be interpreted as a ‘confusion of languages’ problem, a result of mixing different but neighboring levels of the hierarchy. Mixing of non-neighboring levels results in violations beyond the Tsirelson bounds.

中文翻译：

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模仿量子概率：超越贝尔定理和 Tsirelson 界限

Czachor (Acta Phys Polon A 139:70, 2021a) 中讨论的单态相关的局部隐变量模型被证明是基于无限微积分层次的局部隐变量模型的无限层次的特例。违反贝尔型不等式可以解释为“语言混淆”问题，这是混合不同但相邻的层次结构的结果。非相邻级别的混合会导致超出 Tsirelson 界限的违规行为。