The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct new foundations for quantum logic and quantum spaces. Motivated by Bohr’s idea that the empirical content of quantum physics is accessible only through classical physics, we show how a noncommutative C*-algebra of observables A induces a topos in which the amalgamation of all of its commutative subalgebras comprises a single commutative C*-algebra . According to the constructive Gelfand duality theorem of Banaschewski and Mulvey, the latter has an internal spectrum in , which in our approach plays the role of the quantum phase space of the system. Thus we associate a locale (which is the topos-theoretical notion of a space and which intrinsica...
New foundations for quantum logic and quantum spaces are constructed by merging algebraic quantum th...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
New foundations for quantum logic and quantum spaces are constructed by merging algebraic quantum th...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this paper is to relate algebraic quantum mechanics to topos theory, so as to construct n...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
The aim of this chapter is to construct new foundations for quantum logic and quantum spaces. This i...
New foundations for quantum logic and quantum spaces are constructed by merging algebraic quantum th...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which ...