Von Neumann, Bell and Bohm

爱因斯坦、玻姆与贝尔著作中的定域因果性

Local causality in the works of Einstein, Bohm and Bell

本章围绕EPR定理与Bell定理的关联展开，明确beable概念的核心作用，指出其包含波函数而非仅隐变量，从而将两定理结论重述为量子力学本身的非定域性定理，同时澄清定域实在论相关歧义，说明实在论等并非两定理的前提。

Homer nodded: von Neumann's surprising oversight

We review the famous no-hidden-variables theorem in John von Neumann's 1932 book on the mathematical foundations of quantum mechanics. We describe the notorious gap in von Neumann's argument, pointed out by Grete Hermann in 1935 and, more famously, by John Bell in 1966. We disagree with recent papers claiming that Hermann and Bell failed to understand what von Neumann was actually doing.

Les inégalités de Bell et l'article Einstein, Podolsky, Rosen, une relecture

The relationship between the Bell article in 1964 and its well known inequalities with the Einstein Podolsky Rosen article in 1935 is revisited. Einstein views on quantum mechanics as stated in many circumstances up to his death in 1955 are recalled. The role of David Bohm is shown to be essential to understand the link between Bell and Einstein's views. This link appears not to be as usually recounted.

On the Unconditional Validity of J. von Neumann's Proof of the Impossibility of Hidden Variables in Quantum Mechanics

The impossibility of theories with hidden variables as an alternative and replacement for quantum mechanics was discussed by J. von Neumann in 1932. His proof was criticized as being logically circular, by Grete Hermann soon after, and as fundamentally flawed, by John Bell in 1964. Bell's severe criticism of Neumann's proof and the explicit (counter) example of a hidden variable model for the measurement of a quantum spin are considered by most researchers, though not all, as the definitive demonstration that Neumann's proof is inadequate. Despite being an argument of mathematical physics, an …

布里渊力学：量子力学的一种正当流体图景，以及更广泛的领域

Bohmian mechanics: A legitimate hydrodynamic picture for quantum mechanics, and beyond

布里渊力学通过流体模型解释量子力学，并探讨其在其他领域应用的合理性与有效性。

埃弗雷特量子多宇宙非定域性的初等证明：多世界诠释中的Bell定域性与分支对称性

An Elementary Proof That Everett's Quantum Multiverse Is Nonlocal: Bell-Locality and Branch-Symmetry in the Many-Worlds Interpretation

本文针对埃弗雷特多世界理论常被认为具有Bell定域性的观点，通过分析GHZ非定域性定理证明其不满足Bell定域性，指出分支强对称性导致其无法定义概率与还原统计，仅靠添加类Bohm隐变量修正后的理论才明确具有Bell非定域性。