Quantum Physics, Fuzzy Sets and Logic
Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Buch in deiner Nähe kaufen
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.
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.
Includes supplementary material: sn.pub/extras
Autor*in
Jarosław Pykacz
Themen in »Quantum Physics, Fuzzy Sets and Logic«
Birkhoff–von Neumann Quantum Logic Fuzzy Interpretation of Quantum Mechanics Infinite-valued Logic Interpretation of Quantum Mechanics Many-valued Interpretation of Quantum Mechanics Many-valued Logic Quantum Logic Łukasiewicz Infinite-valued Logic
Stimmen zu »Quantum Physics, Fuzzy Sets and Logic«
“The book summarizes decades of search of an adequate formulation of quantum mechanics using fuzzy set tools. … The book is very easy to read; a feature rarely encountered in this field. The historical overview is rather detailed, the author found some forgotten sources and put them in context which is of separate interest. … it is a good deal of advanced mathematical work which summarizes experience from one epoch of research.” (Mirko Navara, zbMATH 1328.81020, 2016)
()