论文标题
埃弗里特的量子力学解释中的分支机构计数
Branch-counting in the Everett Interpretation of quantum mechanics
论文作者
论文摘要
辩护是针对量子力学的埃弗里特解释（也称为多个世界解释）中概率的分支计数规则的版本，这两者都取决于状态，并且在希尔伯特空间的规范拓扑中是连续的。众所周知的分支计数规则，用于现实的测量模型，其中分支是由腐蚀理论定义的，使该测试未能通过。新规则取决于使用破裂理论定义分支结构，特别是破坏历史理论的使用。根据此基础比率定义了任何公约。他们同意出生的规则，并提供与幼稚的频率主义相似的客观概率概念，除非结果的频率在不同的时间不局限于一个世界，而是一次在世界上传播。它也不是临时的：它与Boltzmann在1879年引入的热力学概率的组合方法相似。它与该程序相同，然后是Planck，Bose，Einstein和Dirac在定义Bose-Instein气体的平衡分布时。它还以一种简单的方式与量子概率的决策理论方法联系起来。
A defence is offered of a version of the branch-counting rule for probability in the Everett interpretation (otherwise known as many-worlds interpretation) of quantum mechanics that both depends on the state and is continuous in the norm topology on Hilbert space. The well-known branch-counting rule, for realistic models of measurements, in which branches are defined by decoherence theory, fails this test. The new rule hinges on the use of decoherence theory in defining branching structure, and specifically decoherent histories theory. On this basis ratios of branch numbers are defined, free of any convention. They agree with the Born rule, and deliver a notion of objective probability similar to naïve frequentism, save that the frequencies of outcomes are not confined to a single world at different times, but spread over worlds at a single time. Nor is it ad hoc: it is recognizably akin to the combinatorial approach to thermodynamic probability, as introduced by Boltzmann in 1879. It is identical to the procedure followed by Planck, Bose, Einstein and Dirac in defining the equilibrium distribution of the Bose-Einstein gas. It also connects in a simple way with the decision-theory approach to quantum probability.
