论文标题
非稳态的典型性，用于量子力学
Nonprobabilistic typicality with application to quantum mechanics
论文作者
论文摘要
在本文中，提出了两个假设。第一个假设是存在随机现象/实验的存在，其中事件通常无法分配确定的概率，但仍然承认一类几乎某些某些事件。这些实验称为\ textit {典型主义}（而不是概率）实验。由于概率实验由概率空间表示，因此典型的实验可以由\ textit {典型性空间}表示，其中典型性空间基本上是一个概率空间，在该空间中，概率度量已被结构较低的典型性典型性度量$ t $替换。条件$ t（a）\大约1 $定义了典型集，典型的空间与典型的实验有关，通过将前者的典型集与后者的几乎某些事件相关联。典型性理论的某些要素，包括典型性空间的定义，是在本文的第一部分中开发的。第二个假设是，量子粒子（或量子颗粒系统）的演变可以视为典型的现象，因此可以通过典型性理论和量子力学的结合来表示。结果是一种新的量子力学公式，该制定不带来测量问题，这可能是Bohmian力学的可行替代方法。该主题是在论文的第二部分中开发的。
In this paper two hypotheses are developed. The first hypothesis is the existence of random phenomena/experiments in which the events cannot generally be assigned a definite probability but that nevertheless admit a class of nearly certain events. These experiments are referred to as \textit{typicalistic} (instead of probabilistic) experiments. As probabilistic experiments are represented by probability spaces, typicalistic experiments can be represented by \textit{typicality spaces}, where a typicality space is basically a probability space in which the probability measure has been replaced by a much less structured typicality measure $T$. The condition $T(A) \approx 1$ defines the typical sets, and a typicality space is related to a typicalistic experiment by associating the typical sets of the former with the nearly certain events of the latter. Some elements of a theory of typicality, including the definition of typicality spaces, are developed in the first part of the paper. The second hypothesis is that the evolution of a quantum particle (or of a system of quantum particles) can be considered a typicalistic phenomenon, so that it can be represented by the combination of typicality theory and quantum mechanics. The result is a novel formulation of quantum mechanics that does not present the measurement problem and that could be a viable alternative to Bohmian mechanics. This subject is developed in the second part of the paper.
