This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz 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 Lukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.
| ISBN: | 9783319193830 |
| Publication date: | 30th June 2015 |
| Author: | Jaroslaw Pykacz |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 70 pages |
| Series: | SpringerBriefs in Physics |
| Genres: |
Quantum physics (quantum mechanics and quantum field theory) Mathematical logic Mathematical foundations Mathematical physics Mathematical theory of computation |