Causal Processes in C*-Algebraic Setting
arXiv:2004.07477 · doi:10.1007/s10701-021-00411-6
Abstract
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.