130 citations · 277 across the 11 of their papers we have counts for
12 papers
The parliament of observers - Against the observable axiom of quantum mechanics
Markus Frembs, Andreas Döring
The 'unreasonable effectiveness of mathematics in the natural sciences' may at times give the impression that natural science, especially modern theoretical physics, is all but a f…
Contextuality and the fundamental theorems of quantum mechanics
Andreas Döring, Markus Frembs
Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr and later realised more technically by Kochen and Specker. Isham and Butterfield put cont…
A Bridge Between Q-Worlds
Andreas Döring, Benjamin Eva, Masanao Ozawa
Quantum set theory (QST) and topos quantum theory (TQT) are two long running projects in the mathematical foundations of quantum mechanics that share a great deal of conceptual and…
Some Remarks on the Logic of Quantum Gravity
Andreas Doering
We discuss some conceptual issues that any approach to quantum gravity has to confront. In particular, it is argued that one has to find a theory that can be interpreted in a reali…
Self-adjoint Operators as Functions I: Lattices, Galois Connections, and the Spectral Order
Andreas Doering, Barry Dewitt
Observables of a quantum system, described by self-adjoint operators in a von Neumann algebra or affiliated with it in the unbounded case, form a conditionally complete lattice whe…
Unsharp Values, Domains and Topoi
Andreas Doering, Rui Soares Barbosa
The so-called topos approach provides a radical reformulation of quantum theory. Structurally, quantum theory in the topos formulation is very similar to classical physics. There i…
Classical and Quantum Probabilities as Truth Values
Andreas Doering, Chris J. Isham
We show how probabilities can be treated as truth values in suitable sheaf topoi. The scheme developed in this paper is very general and applies to both classical and quantum physi…
The physical interpretation of daseinisation
Andreas Doering
We provide a conceptual discussion and physical interpretation of some of the quite abstract constructions in the topos approach to physics. In particular, the daseinisation proces…
Topos Quantum Logic and Mixed States
Andreas Doering
The topos approach to the formulation of physical theories includes a new form of quantum logic. We present this topos quantum logic, including some new results, and compare it to…
`What is a Thing?': Topos Theory in the Foundations of Physics
Andreas Doering, Chris Isham
The goal of this paper is to summarise the first steps in developing a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address cert…
Topos theory and `neo-realist' quantum theory
Andreas Doering
Topos theory, a branch of category theory, has been proposed as mathematical basis for the formulation of physical theories. In this article, we give a brief introduction to this a…
Kochen-Specker theorem for von Neumann algebras
Andreas Doering
The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence…