论文标题
量子Gödelian直觉
A Quantum Gödelian Hunch
论文作者
论文摘要
如果量子理论的自相矛盾的性质可以在某种与戈德尔的不完整定理的不可证明性中找到源头怎么办？本文旨在通过两个案例研究来争论这种戈德利安的驼背。首先，使用基于Newcomb问题的叙述，引入了量子上下文的神学动机来源，以表明该结果可能与骗子般的不可证明性有关。 Abramsky等人对情境性的拓扑概括。还提出了将量子上下文的逻辑结构与“骗子周期”进行比较。其次，将测量问题分析为从逻辑误差中出现的。对相关的Wigner的朋友思想实验进行了个人分析，以及Frauchiger和Renner最近的悖论，通过介绍“元文化性”的概念，作为量子理论的新杂质解释的骗子般的特征。最后，这种量子gödelianhunch讨论了量子物理学的悖论性质以及时间本身从自相矛盾中的出现。
What if the paradoxical nature of quantum theory could find its source in some undecidability analog to that of Gödel's incompleteness theorem ? This essay aims at arguing for such Gödelian hunch via two case studies. Firstly, using a narrative based on the Newcomb problem, the theological motivational origin of quantum contextuality is introduced in order to show how this result might be related to a Liar-like undecidability. A topological generalization of contextuality by Abramsky et al. in which the logical structure of quantum contextuality is compared with "Liar cycles" is also presented. Secondly, the measurement problem is analyzed as emerging from a logical error. A personal analysis of the related Wigner's friend thought experiment and and a recent paradox by Frauchiger and Renner is presented, by introducing the notion of "meta-contextuality" as a Liar-like feature underlying the neo-Copenhagen interpretations of quantum theory. Finally, this quantum Gödelian hunch opens a discussion of the paradoxical nature of quantum physics and the emergence of time itself from self-contradiction.
