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.
Rezensionen / Stimmen
"The book summarizes decades of search of an adequate
formulation of quantum mechanics using fuzzy set tools. . The book is very easy
to read; a feature rarely encountered in this field. The historical overview is
rather detailed, the author found some forgotten sources and put them in
context which is of separate interest. . it is a good deal of advanced
mathematical work which summarizes experience from one epoch of research." (Mirko
Navara, zbMATH 1328.81020, 2016)
