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How the Natural Interpretation of QM Avoids the Recent No-Go Theorem
Foundations of Physics ( IF 1.2 ) Pub Date : 2020-02-14 , DOI: 10.1007/s10701-020-00323-x
Anthony Rizzi

A recent no-go theorem gives an extension of the Wigner’s Friend argument that purports to prove the “Quantum theory cannot consistently describe the use of itself.” The argument is complex and thought provoking, but fails in a straightforward way if one treats QM as a statistical theory in the most fundamental sense, i.e. if one applies the so-called ensemble interpretation. This explanation is given here at an undergraduate level, which can be edifying for experts and students alike. A recent paper has already shown that the no-go theorem is incorrect with regard to the de Broglie Bohm theory and misguided in some of its general claims. This paper’s contribution is three fold. It shows how the extended Wigner’s Friend argument fails in the ensemble interpretation. It also makes more evident how natural a consistent statistical treatment of the wave function is. In this way, the refutation of the argument is useful for bringing out the core statistical nature of QM. It, in addition, manifests the unnecessary complications and problems introduced by the collapse mechanism that is part of the Copenhagen interpretation. The paper uses the straightforwardness of the ensemble interpretation to make the no-go argument and its refutation more accessible.

中文翻译:

QM 的自然解释如何避免最近的 No-Go 定理

最近的一条不成功定理扩展了维格纳的朋友论证,该论证旨在证明“量子理论不能始终如一地描述自身的使用”。这个论点是复杂且发人深省的,但如果将 QM 视为最基本意义上的统计理论,即如果应用所谓的集合解释,则以一种直接的方式失败。这个解释是在本科阶段给出的,对专家和学生都有启发。最近的一篇论文已经表明,关于 de Broglie Bohm 理论,no-go 定理是不正确的,并且在其一些一般性主张中被误​​导了。本文的贡献是三方面的。它显示了扩展的 Wigner's Friend 论证在集成解释中是如何失败的。它还更明显地表明,对波函数进行一致的统计处理是多么自然。这样,对论证的反驳有助于揭示 QM 的核心统计性质。此外,它还表明作为哥本哈根解释的一部分的崩溃机制引入了不必要的复杂性和问题。论文利用集成解释的直白性,使不走的论证及其反驳更容易理解。
更新日期:2020-02-14
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