Quantum Physics, Fuzzy Sets and Logic Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
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| Author:
| Pykacz, Jarosaw |
| Series title: | SpringerBriefs in Physics Ser. |
| ISBN: | 978-3-319-19383-0 |
| Publication Date: | Jun 2015 |
| Publisher: | Springer
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| Book Format: | Paperback |
| List Price: | AUD $103.95 |
Book Description:
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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...
More Description
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.