Search
Search Results
-
A Topos Perspective on State-Vector Reduction
A preliminary investigation is made of possible applications in quantum theory of the topos formed by the collection of all M -sets, where M is a...
-
A Topos Perspective on State-Vector Reduction
A preliminary investigation is made of possible applications in quantum theory of the topos formed by the collection of all M -sets, where M is a...
-
Quantising on a Category
We review the problem of finding a general framework within which one can construct quantum theories of non-standard models for space, or space-time....
-
Topos Perspective on the Kochen–Specker Theorem: IV. Interval Valuations
We extend the topos-theoretic treatment given in previous papers (Butterfield, J. and Isham, C. J. (1999). International Journal of Theoretical Physics ...
-
Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity
We discuss some ways in which topos theory (a branch of category theory) can be applied to interpretative problems in quantum theory and quantum...
-
Topos Perspective on the Kochen=nSpeckerTheorem: III. Von Neumann Algebras as theBase Category
We extend the topos-theoretic treatment given in previous papers of assigningvalues to quantities in quantum theory, and of related issues such as...
-
A Topos Perspective on the Kochen-Specker Theorem II. Conceptual Aspects and Classical Analogues
In a previous paper, we proposed assigning asthe value of a physical quantity in quantum theory acertain kind of set (a sieve) of quantities that...
-
Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations
Any attempt to construct a realistinterpretation of quantum theory founders on theKochen–Specker theorem, which asserts theimpossibility of assigning...
-
Topos theory and consistent histories: The internal logic of the set of all consistent sets
A major problem in the consistent-histories approach to quantum theory is contending with the potentially large number of consistent sets of history...
-
-
-
Canonical Quantum Gravity and the Problem of Time
The aim of this paper is to provide a general introduction to the problem of time in quantum gravity. This problem originates in the fundamental...
-
Metric space as a model of spacetime: Classical theory and quantization
An approach to describing the dynamics of spacetime, in which the basic variable is the distance function (metric) or a metric space, is considered....
-
Conceptual and geometrical problems in quantum gravity
A summary is given of some of the conceptual and geometrical problems that arise in various attempts to construct a quantum theory of gravity....
-
An Introduction to General Topology and Quantum Topology
The aim of this course is to give a short introduction to the classical theory of general topology and to consider some ways in which one might...
-
Vacuum Tunneling in Static Space-Times
This article is respectfully dedicated to the memory of Wolfgang Yourgrau, philosopher and physicist. Wolfgang’s energy and interests were boundless....
-
Generalized spin structures on four dimensional space-times
We discuss various methods for investigating the existence and uniqueness of generalized spin structures. We show that on a four dimensional manifold...
-
Quantum Field Theory and Fibre Bundles in a General Space-Time
There is as yet no complete and consistent quantum theory of gravity. Indeed some practitioners of this art still argue about what would even...
-
