Indistinguishability and the origins of contextuality in physics | Zendy

J. Acácio de Barros | Zendy; Federico Holik | Zendy; Décio Krause | Zendy

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Indistinguishability and the origins of contextuality in physics

Author(s) -

J. Acácio de Barros,

Federico Holik,

Décio Krause

Publication year - 2019

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2019.0150

Subject(s) - kochen–specker theorem , construct (python library) , ontology , computer science , set (abstract data type) , theme (computing) , identity (music) , theoretical physics , epistemology , quantum , physics , quantum mechanics , philosophy , acoustics , programming language , operating system

In this work, we discuss a formal way of dealing with the properties of contextual systems. Our approach is to assume that properties describing the same physical quantity, but belonging to different measurement contexts, are indistinguishable in a strong sense. To construct the formal theoretical structure, we develop a description using quasi-set theory, which is a set-theoretical framework built to describe collections of elements that violate Leibnitz's principle of identity of indiscernibles. This framework allows us to consider a new ontology in order to study the properties of quantum systems. This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.

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