Jaroslaw Pykacz,
Jarosław Pykacz
Quantum Physics, Fuzzy Sets and Logic
Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Paperback Engels 2015 9783319193830Levertijd ongeveer 9 werkdagen
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Samenvatting
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.
Specificaties
ISBN13:9783319193830
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
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Inhoudsopgave
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.
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