Mathematics of a Process Algebra Inspired by Whitehead’s Process and Reality: A Review

William Sulis ()
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William Sulis: Collective Intelligence Laboratory, Department of Psychiatry and Behavioural Neuroscience, McMaster University, 255 Townline Rd, E., Cayuga, ON N0A 1E0, Canada

Mathematics, 2024, vol. 12, issue 13, 1-36

Abstract: Process algebras have been developed within computer science and engineering to address complicated computational and manufacturing problems. The process algebra described herein was inspired by the Process Theory of Whitehead and the theory of combinatorial games, and it was developed to explicitly address issues particular to organisms, which exhibit generativity, becoming, emergence, transience, openness, contextuality, locality, and non-Kolmogorov probability as fundamental characteristics. These features are expressed by neurobehavioural regulatory systems, collective intelligence systems (social insect colonies), and quantum systems as well. The process algebra has been utilized to provide an ontological model of non-relativistic quantum mechanics with locally causal information flow. This paper provides a pedagical review of the mathematics of the process algebra.

Keywords: process algebra; generativity; transience; becoming; contextuality; locality; combinatorial games; non-Kolmogorov probability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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