From Copenhagen to neo-Copenhagen interpretation

TL;DR

This paper critiques the Copenhagen interpretation of quantum mechanics, identifies its limitations, and proposes the neo-Copenhagen interpretation that emphasizes the quantum nature of measurement devices, supported by a formal mathematical extension.

Contribution

It introduces the neo-Copenhagen interpretation, extending the formalism to include positive operator-valued measures, addressing the limitations of the original Copenhagen interpretation.

Findings

The role of measurement devices is taken seriously in the new interpretation.

Extension to positive operator-valued measures provides a sound mathematical basis.

Application to uncertainty relations and Bell inequalities is discussed.

Abstract

Positive and negative features of the Copenhagen interpretation are discussed. As positive features can be mentioned its pragmatism and its awareness of the crucial role of measurement. However, the main part of the contribution is devoted to the negative features, to wit, its pragmatism (once again), its confounding of preparation and measurement, its classical account of measurement, its completeness claims, the ambiguity of its notion of correspondence, its confused notion of complementarity. It is demonstrated how confusions and paradoxes stemming from the negative features of the Copenhagen interpretation can be dealt with in an amended interpretation, to be referred to as `neo-Copenhagen interpretation', in which the role of the measuring instrument is taken seriously by recognizing the quantum mechanical character of its interaction with the microscopic object. The ensuing necessity of extending the notion of a quantum mechanical observable from the Hermitian operator of the standard formalism to the positive operator-valued measure of a generalized formalism is demonstrated to yield a sound mathematical basis for a transition from the Copenhagen contextualistic-realist interpretation to the neo-Copenhagen empiricist one. Applications to the uncertainty relations and to the Bell inequalities are briefly discussed.