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Quantum Physics, Fuzzy Sets and Logic Steps Towards a Many-Valued Interpretation of Quantum Mechanics /

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pykacz, Jarosław (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:SpringerBriefs in Physics,
Temas:
Acceso en línea:Texto Completo

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505 0 |a Introduction -- A brief survey of main interpretations of quantum mechanics -- A brief survey of many-valued logics -- Fuzzy sets and many-valued logics -- Many-valued logics in quantum mechanics -- Birkhoff-von Neumann quantum logic -- Birkhoff-von Neumann quantum logic as infinite-valued Łukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics. 
520 |a This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions. 
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