My research interests concern foundational and philosophical problems of modern physics, especially quantum mechanics and quantum field theory, quantum logic, and related more general issues in philosophy of science such as the interpretation of probability and theories of probabilistic causation.
My
book
"Quantum Logic
in Algebraic Approach" (Kluwer, 1998) summarizes my work before 1998 on
the operator algebraic analysis of the problem of hidden
variables in quantum mechanics and it also contains results on
different issues in quantum logic, such as the Birkhhoff-von Neumann
concept of quantum logic, logical independence in quantum logic, the
problem
of counterfactual probabilistic independence in
relativistic quantum field theory and the status of Reichenbach's
Common Cause Principle in relativistic quantum field theory.
Another interest, closely related to quantum theory and quantum logic, concerns John von Neumann and his work on foundations of physics. Results of research on John von Neumann are published partly in the volume "John von Neumann and the Foundations of Quantum Physics", M. Redei and M. Stoeltzner (eds.) (Kluwer Academic, 2001). As part of the John von Neumann project I have edited a selected collection of letters by von Neumann: J. von Neumann: Selected Letters (American Mathematical Society, 2005).
Our recent book on The Principle of the Common Cause (Cambridge University Press, 2013) gives a technically detailed analysis of the common cause principle.