Modal Quantum Theory

Modal quantum theory

We present a discrete model theory similar in structure to ordinary quantum mechanics, but based on a finite field instead of complex amplitudes. The interpretation of this theory involves only the “modal” concepts of possibility and necessity rather than quantitative probability measures. Despite its simplicity, our model theory includes entangled states and has versions of both Bell’s theorem...

Reportrapport Modal Model Theory Modal Model Theory

This paper contributes to the model theory of modal logic using bisimulations as the fundamental tool. A uniform presentation is given of modal analogues of well-known deenability and preservation results from rst-order logic. These results include algebraic characterizations of modal equivalence, and of the modally deenable classes of models; the preservation results concern preservation of mo...

The Modal Interpretation of Algebraic Quantum Field Theory

In a recent Letter, Dieks [1] has proposed a way to implement the modal interpretation of quantum theory in algebraic quantum field theory. We show that his proposal fails to yield a well-defined prescription for which observables in a local spacetime region possess definite values. On the other hand, we demonstrate that there is a well-defined and unique way of extending the modal interpretati...

quantum theory and the intelligent design argument

quantum theory poses itself to be a challenging counterpart to the intelligent design argument. quantum physics founded upon uncertainty, probability and statistics has exerted great influence since its inception on the philosophical thinking of man. the findings of this theory has helped bring about a dramatic transformation in the notion of ‘order in nature.’ in modern physics, it is hardly p...

Introduction to Modal Correspondence Theory