Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics

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 p...

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Tác giả chính: Pykacz, Jarosław
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2016
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822
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spelling oai:scholar.dlu.edu.vn:DLU123456789-598222023-11-11T06:52:59Z Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics Pykacz, Jarosław Fuzzy sets Many-valued logic Mathematics Quantum theory 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. 2016-03-15T01:51:31Z 2016-03-15T01:51:31Z 2015 Book 978-3-319-19384-7 978-3-319-19383-0 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Fuzzy sets
Many-valued logic
Mathematics
Quantum theory
spellingShingle Fuzzy sets
Many-valued logic
Mathematics
Quantum theory
Pykacz, Jarosław
Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
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.
format Book
author Pykacz, Jarosław
author_facet Pykacz, Jarosław
author_sort Pykacz, Jarosław
title Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
title_short Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
title_full Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
title_fullStr Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
title_full_unstemmed Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
title_sort quantum physics, fuzzy sets and logic: steps towards a many-valued interpretation of quantum mechanics
publisher Springer
publishDate 2016
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822
_version_ 1819795459285188608