Superlogic manifolds and geometric approach to quantum logic
Newton C. A. da Costa, Joseph Kouneiher
The main purpose of this paper is to present a new approach to logic or what we will call superlogic. This approach constitutes a new way of looking at the connection between quantum mechanics and logic. It is a geometrization of the quantum logic. Note that this superlogic is not distributive reflecting a good propriety to describe quantum mechanics, non-commutative spaces and contains a nilpotent element.
International Journal of Geometric Methods in Modern Physics•Sep 4, 2015•2 citations