Probing the Structure of Quantum Mechanics最新文献

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PROBING THE STRUCTURE OF QUANTUM MECHANICS 探索量子力学的结构
Probing the Structure of Quantum Mechanics Pub Date : 2002-06-01 DOI: 10.1142/9789812778024_0001
Diederik Aerts, M. Czachor, T. Durt
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引用次数: 9
BEING AND CHANGE: FOUNDATIONS OF A REALISTIC OPERATIONAL FORMALISM 存在与变化:现实操作形式主义的基础
Probing the Structure of Quantum Mechanics Pub Date : 2002-05-26 DOI: 10.1142/9789812778024_0004
Diederik Aerts
{"title":"BEING AND CHANGE: FOUNDATIONS OF A REALISTIC OPERATIONAL FORMALISM","authors":"Diederik Aerts","doi":"10.1142/9789812778024_0004","DOIUrl":"https://doi.org/10.1142/9789812778024_0004","url":null,"abstract":"The aim of this article is to represent the general description of an entity by means of its states, contexts and properties. The entity that we want to describe does not necessarily have to be a physical entity, but can also be an entity of a more abstract nature, for example a concept, or a cultural artifact, or the mind of a person, etc..., which means that we aim at very general description. The effect that a context has on the state of the entity plays a fundamental role, which means that our approach is intrinsically contextual. The approach is inspired by the mathematical formalisms that have been developed in axiomatic quantum mechanics, where a specific type of quantum contextuality is modelled. However, because in general states also influence context -- which is not the case in quantum mechanics -- we need a more general setting than the one used there. Our focus on context as a fundamental concept makes it possible to unify `dynamical change' and `change under influence of measurement', which makes our approach also more general and more powerful than the traditional quantum axiomatic approaches. For this reason an experiment (or measurement) is introduced as a specific kind of context. Mathematically we introduce a state context property system as the structure to describe an entity by means of its states, contexts and properties. We also strive from the start to a categorical setting and derive the morphisms between state context property systems from a merological covariance principle. We introduce the category SCOP with as elements the state context property systems and as morphisms the ones that we derived from this merological covariance principle. We introduce property completeness and state completeness and study the operational foundation of the formalism","PeriodicalId":424260,"journal":{"name":"Probing the Structure of Quantum Mechanics","volume":"10 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129374640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 51
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