Ultimate stochastic entities
type: Item
instance of: scholarly article
title: Ultimate stochastic entities
zbMATH Open document ID: 0566.03035
DOI: 10.1007/BF00670801
author: David Cohen
author: James Henle
published in: International Journal of Theoretical Physics
publication date: 1985-01-01T00:00:00Z
review text: We take the view that everything that is known about a physical system can be described by a ''stochastic entity'' (\({\mathcal A},\Delta)\), which consists of a ''manual'' \({\mathcal A}\) of experiments that can be performed on the system, and a set \(\Delta\) of possible stochastic states (probability measures) on the logic of the manual. We next consider what happens when new information about the system is learned and describe precisely how one then obtains a new stochastic entity more elaborate than the first. Finally, we show that as information about the system continues to grow, the increasingly elaborate stochastic entities describing the system necessarily acquire mathematical properties often assumed for mathematical convenience in papers on quantum mechanics.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 3902646
zbMATH Keywords: physical system
zbMATH Keywords: manual
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3902646