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Quantum Physics, Fuzzy Sets and Logic

Steps Towards a Many-Valued Interpretation of Quantum Mechanics

  • Jarosław Pykacz

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Jarosław Pykacz
    Pages 1-3
  3. Jarosław Pykacz
    Pages 15-22
  4. Jarosław Pykacz
    Pages 23-28
  5. Jarosław Pykacz
    Pages 29-32
  6. Jarosław Pykacz
    Pages 33-45
  7. Jarosław Pykacz
    Pages 59-63
  8. Back Matter
    Pages 69-70

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Jarosław Pykacz
    • 1
  1. 1.Institute of MathematicsUniversity of GdańskGdańskPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-19384-7
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-19383-0
  • Online ISBN 978-3-319-19384-7
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site