Quantum Physics, Fuzzy Sets and Logic
Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Nonfiction, Science & Nature, Mathematics, Logic, Science, Physics, Quantum Theory
| Author: | Jarosław Pykacz | ISBN: | 9783319193847 |
| Publisher: | Springer International Publishing | Publication: | June 20, 2015 |
| Imprint: | Springer | Language: | English |
| Author: | Jarosław Pykacz |
| ISBN: | 9783319193847 |
| Publisher: | Springer International Publishing |
| Publication: | June 20, 2015 |
| Imprint: | Springer |
| Language: | English |
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.
