Khrennikov Andrei
International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, SE-351 95 Växjö, Sweden.
Entropy (Basel). 2021 May 19;23(5):632. doi: 10.3390/e23050632.
This note is a part of my effort to rid quantum mechanics (QM) nonlocality. Quantum nonlocality is a two faced Janus: one face is a genuine quantum mechanical nonlocality (defined by the Lüders' projection postulate). Another face is the nonlocality of the hidden variables model that was invented by Bell. This paper is devoted the deconstruction of the latter. The main casualty of Bell's model is that it straightforwardly contradicts Heisenberg's uncertainty and Bohr's complementarity principles generally. Thus, we do not criticize the derivation or interpretation of the Bell inequality (as was done by numerous authors). Our critique is directed against the model as such. The original Einstein-Podolsky-Rosen (EPR) argument assumed the Heisenberg's principle without questioning its validity. Hence, the arguments of EPR and Bell differ crucially, and it is necessary to establish the physical ground of the aforementioned principles. This is the quantum postulate: the existence of an indivisible quantum of action given by the Planck constant. Bell's approach with hidden variables implicitly implies rejection of the quantum postulate, since the latter is the basis of the reference principles.
本笔记是我消除量子力学（QM）非定域性努力的一部分。量子非定域性就像两面神亚努斯：一面是真正的量子力学非定域性（由吕德斯投影假设定义）。另一面是贝尔发明的隐变量模型的非定域性。本文致力于解构后者。贝尔模型的主要问题在于它直接与海森堡不确定性原理和玻尔互补性原理普遍相悖。因此，我们并不像众多作者那样批评贝尔不等式的推导或解释。我们的批评针对的就是这个模型本身。最初的爱因斯坦 - 波多尔斯基 - 罗森（EPR）论证假定了海森堡原理而未质疑其有效性。所以，EPR和贝尔的论证有很大不同，有必要确立上述原理的物理基础。这就是量子假设：由普朗克常数给出的不可分割的作用量子的存在。贝尔带有隐变量的方法隐含地意味着对量子假设的否定，因为后者是参考原理的基础。
