Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics

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 p...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Pykacz, Jarosław
Aineistotyyppi: Kirja
Kieli:English
Julkaistu: Springer 2016
Aiheet:
Linkit:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822
Tagit: Lisää tagi
Ei tageja, Lisää ensimmäinen tagi!
Thư viện lưu trữ: Thư viện Trường Đại học Đà Lạt
Kuvaus
Yhteenveto: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.