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Quantum Physics, Fuzzy Sets and Logic

Steps Towards a Many-Valued Interpretation of Quantum Mechanics

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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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Titel: Quantum Physics, Fuzzy Sets and Logic
Autoren/Herausgeber: Jarosław Pykacz
Aus der Reihe: SpringerBriefs in Physics
Ausgabe: 2015

ISBN/EAN: 9783319193830

Seitenzahl: 70
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 134 g
Sprache: Englisch

Jarosław Pykacz, born 1952, studied physics and mathematics at the University of Gdańsk and received his PhD in theoretical physics in 1980. He was one of the founding fathers of the International Quantum Structures Association and served as its President in the years 2008 - 2010. He published about 50 papers on logico-philosophic foundations and application of fuzzy sets in quantum mechanics.

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