Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics (SpringerBriefs in Physics) by J. Pykacz
English | 31 July 2015 | ISBN: 331919383X | 78 Pages | EPUB/AZW3/PDF (conv) | 6.99 MB
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.