论文标题
因果关系系统和量子理论的ETH方法
Causal Fermion Systems and the ETH Approach to Quantum Theory
论文作者
论文摘要
在回顾了“因果效率系统”（CFS理论）和“事件，树木和历史方法”的理论之后，我们比较了这两个通用框架的基础的一些数学结构，并讨论了相似性和差异。对于因果关系系统，我们基于因果关系系统固有的因果关系介绍了未来的代数。这些代数类似于以前在ETH方法中引入的代数。然后，我们证明因果效率系统的时空点具有与“事件”相似的属性，如ETH方法中所定义的。我们的讨论是对描述Minkowski空间的因果费系统的结果的调查的基础，这些调查表明，代表时空点的操作员在其因果关系的未来中与代数的通勤时间通勤，直到取决于正规化长度的微小校正。
After reviewing the theory of "causal fermion systems" (CFS theory) and the "Events, Trees, and Histories Approach" to quantum theory (ETH approach), we compare some of the mathematical structures underlying these two general frameworks and discuss similarities and differences. For causal fermion systems, we introduce future algebras based on causal relations inherent to a causal fermion system. These algebras are analogous to the algebras previously introduced in the ETH approach. We then show that the spacetime points of a causal fermion system have properties similar to those of "events", as defined in the ETH approach. Our discussion is underpinned by a survey of results on causal fermion systems describing Minkowski space that show that an operator representing a spacetime point commutes with the algebra in its causal future, up to tiny corrections that depend on a regularization length.
