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

By Jarosław Pykacz

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.

• Format: Paperback
• Language: English
• ISBN: 331919383X
• ISBN13: 9783319193830
• Release Date: June 2015
• Publisher: Springer
• Length: 70 Pages
• Weight: 0.27 lbs.
• Dimensions: 0.2" x 6.1" x 9.2"