Quantum Physics, Fuzzy Sets and Logic

Steps Towards a Many-Valued Interpretation of Quantum Mechanics

Nonfiction, Science & Nature, Mathematics, Logic, Science, Physics, Quantum Theory
Cover of the book Quantum Physics, Fuzzy Sets and Logic by Jarosław Pykacz, Springer International Publishing
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Author: Jarosław Pykacz ISBN: 9783319193847
Publisher: Springer International Publishing Publication: June 20, 2015
Imprint: Springer Language: English
Author: Jarosław Pykacz
ISBN: 9783319193847
Publisher: Springer International Publishing
Publication: June 20, 2015
Imprint: Springer
Language: English

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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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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