A class of quantum probabilities is reformulated in terms of non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state probabilities discussed in Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s. For \(s\rightarrow \infty\) the formalism reduces to ordinary arithmetic and calculus. Accordingly, the limit “non-Newtonian to Newtonian” becomes analogous to the classical limit of a quantum theory.

中文翻译：

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从非牛顿微积分的角度看贝尔型不等式

用非牛顿微积分和射影算术重新表述了一类量子概率。该模型将 Czachor (Acta Physica Polonica:139 70–83, 2021) 中讨论的自旋 1/2 单重态概率推广到任意自旋s。对于\(s\rightarrow \infty\)，形式主义简化为普通的算术和微积分。因此，“非牛顿到牛顿”的极限变得类似于量子理论的经典极限。