论文标题
由量子力学及其某些应用的基础所激发的定理
Theorems motivated by foundations of quantum mechanics and some of their applications
论文作者
论文摘要
本文提供了旨在阐明量子力学基础中问题的定理。这些定理可用于对理论提出新的解释，或者更好地理解，评估和改善当前的解释。这些应用中的一些包括：（1）在路径方面与标准量子力学完全等同的飞行波理论的证明。这种等效性比更传统的模棱两可的要求或良好的混合属性所带来的等效性要强，并且对于确保跨时间和过去的正确记录确保适当的相关性是必不可少的。 （2）关于非崩溃量子力学的简约本体论的建议，其中Born的规则提供了适当的预测。（3）观察Born的规则与叠加原则的版本之间的密切关系。
This paper provides theorems aimed at shedding light on issues in the foundations of quantum mechanics. These theorems can be used to propose new interpretations to the theory, or to better understand, evaluate and improve current interpretations. Some of these applications include: (1) A proof of the existence of pilot-wave theories that are fully equivalent to standard quantum mechanics in a path-wise sense. This equivalence is stronger than what is entailed from the more traditional requirements of equivariance, or good mixing properties, and is necessary to assure proper correlations across time and proper records of the past. (2) A proposal for a minimalistic ontology for non-collapse quantum mechanics, in which Born's rule provides the proper predictions.(3) The observation of a close relationship between Born's rule and a version of the superposition principle.
