Physical content of preparation-question structures and Brouwer-Zadeh lattices
type: Item
instance of: scholarly article
title: Physical content of preparation-question structures and Brouwer-Zadeh lattices
zbMATH Open document ID: 0791.03035
DOI: 10.1007/BF00678298
author: Giuseppe Nisticò
author: G. Cattaneo
published in: International Journal of Theoretical Physics
publication date: 1993-09-30T00:00:00Z
review text: The authors first introduce the concept of a preparation-question structure. Then they provide a model of a preparation-question structure based on a Hilbert space. Analyzing further the preparation-question structures, they derive the poset \(L\) of testable properties and the preparation-question Brouwer-Zadeh lattice. They show that the physical content carried by \(L\) is generally larger than the content carried by the property (Jauch-Piron) lattice \(\mathcal L\) [\textit{J. M. Jauch} and \textit{C. Piron}, Helv. Phys. Acta 42, 842-848 (1969; Zbl 0181.276)]. If, however, a completeness axiom is introduced, which does not seem to be always possible [\textit{D. Aerts}, ``Description of many and separated physical entities without the paradoxes encountered in quantum mechanics'', Foundation of Physics, 12, 1131 (1982)], they show that the contents of \(L\) and \(\mathcal L\) have to coincide.
reviewed by: Pavel Pták
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 417107
zbMATH Keywords: property lattice
zbMATH Keywords: preparation-question structure
zbMATH Keywords: Brouwer-Zadeh lattice
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00678298
OpenAlex ID: W2037555861
description: scientific article; zbMATH DE number 417107