In this paper we discuss the relevance of the algebraic approach to quantum phenomena first introduced by von Neumann before he confessed to Birkoff that he no longer believed in Hilbert space. This approach is more general and allows us to see the structure of quantum processes in terms of non-commutative probability theory, a non-Boolean structure of the implicate order which contains Boolean sub-structures which accommodates the explicate classical world. We move away from mechanical 'waves' and 'particles' and take as basic what Bohm called a structure process. This enables us to learn new lessons that can have a wider application in the way we think of structures in language and thought itself. © 2014 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Hiley, B. J. (2014). Quantum mechanics: Harbinger of a non-commutative probability theory? In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8369 LNCS, pp. 6–21). Springer Verlag. https://doi.org/10.1007/978-3-642-54943-4_2
Mendeley helps you to discover research relevant for your work.