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Causal Processes in C*-Algebraic Setting
Foundations of Physics ( IF 1.5 ) Pub Date : 2021-02-01 , DOI: 10.1007/s10701-021-00411-6
Chrysovalantis Stergiou

In this paper, we attempt to explicate Salmon’s idea of a causal process, as defined in terms of the mark method, in the context of C*-dynamical systems. We prove two propositions, one establishing mark manifestation infinitely many times along a given interval of the process, and, a second one, which establishes continuous manifestation of mark with the exception of a countable number of isolated points. Furthermore, we discuss how these results can be implemented in the context of the Haag–Araki theories of relativistic quantum fields on Minkowski spacetime.



中文翻译:

C *-代数环境中的因果过程

在本文中,我们试图阐明Salmon关于因果过程的思想,该思想是在C *动力学系统的背景下根据标记方法定义的。我们证明了两个命题,一个命题在给定的过程间隔内无限次地建立了商标的表现,第二个命题则建立了商标的连续表现,除了数量众多的孤立点。此外,我们讨论了如何在Minkowski时空的相对论量子场的Haag-Araki理论的背景下实现这些结果。

更新日期:2021-02-02
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