论文标题

C* - 代数设置中的因果过程

Causal Processes in C*-Algebraic Setting

论文作者

Stergiou, Chrysovalantis

论文摘要

在本文中,我们试图在c*基因系统的背景下根据标记方法定义的因果过程的概念。我们证明了两个命题,一个命题是在给定的过程间隔内无限多次建立标记表现的,而第二个命题则建立了标记的连续表现,但除了可计数数量的孤立点外。此外,我们讨论了如何在Minkowski SpaceTime中相对论量子场的Haag-Araki理论的背景下实现这些结果。

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 Haag-Araki theories of relativistic quantum fields in Minkowski spacetime.

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