Kochen-Specker theorem in the modal interpretation of quantum mechanics

Christian DE RONDE, Héctor Freytes, Graciela Domenech

Graciela Domenech, Héctor Freytes, Christian DE RONDE

In this article we discuss the contextual character of quantum mechanics in the framework of modal interpretations. We investigate its historical origin and relate contemporary modal interpretations to those proposed by M. Born and W. Heisenberg. We present then a general characterization of what we consider to be a modal interpretation. Following previous papers in which we have introduced modalities in the Kochen-Specker theorem, we investigate the consequences of these theorems in relation to the modal interpretations of quantum mechanics.

Dennis Dieks, Pieter E. Vermaas

Michael Dickson

This paper proposes a logic, motivated by modal interpretations, in which every quantum mechanics propositions has a truth-value. This logic is completely classical, hence violates the conditions of the Kochen-Specker theorem. It is shown how the violation occurs, and it is argued that this violation is a natural and acceptable consequence of modal interpretations. It is shown that despite its classicality, the proposed logic is empirically indistinguishable from quantum logic.

Guido Bacciagaluppi

Guido Bacciagaluppi