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Quantum Physics, Fuzzy Sets and Logic

Steps Towards a Many-Valued Interpretation of Quantum Mechanics

Jarosław Pykacz

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

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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Schlagwörter

Quantum Logic, Many-valued Logic, Łukasiewicz Infinite-valued Logic, Birkhoff–von Neumann Quantum Logic, Infinite-valued Logic, Many-valued Interpretation of Quantum Mechanics, Fuzzy Interpretation of Quantum Mechanics, Interpretation of Quantum Mechanics