On the Classification Between [Formula: see text] -Ontic and [Formula: see text] -Epistemic Ontological Models

Andrea Oldofredi; Cristian López

doi:10.1007/s10701-020-00377-x

On the Classification Between $ψ$ -Ontic and $ψ$ -Epistemic Ontological Models

Found Phys. 2020;50(11):1315-1345. doi: 10.1007/s10701-020-00377-x. Epub 2020 Sep 5.

Authors

Andrea Oldofredi^#¹, Cristian López^#^{1

2}

Affiliations

¹ Department of Philosophy, University of Lausanne, 1015 Lausanne, Switzerland.
² University of Buenos Aires, Buenos Aires, Argentina.

^# Contributed equally.

Abstract

Harrigan and Spekkens (Found Phys 40:125-157, 2010) provided a categorization of quantum ontological models classifying them as $ψ$ -ontic or $ψ$ -epistemic if the quantum state $ψ$ describes respectively either a physical reality or mere observers' knowledge. Moreover, they claimed that Einstein-who was a supporter of the statistical interpretation of quantum mechanics-endorsed an epistemic view of $ψ .$ In this essay we critically assess such a classification and some of its consequences by proposing a twofold argumentation. Firstly, we show that Harrigan and Spekkens' categorization implicitly assumes that a complete description of a quantum system (its ontic state, $λ$ ) only concerns single, individual systems instantiating absolute, intrinsic properties. Secondly, we argue that such assumptions conflict with some current interpretations of quantum mechanics, which employ different ontic states as a complete description of quantum systems. In particular, we will show that, since in the statistical interpretation ontic states describe ensembles rather than individuals, such a view cannot be considered $ψ$ -epistemic. As a consequence, the authors misinterpreted Einstein's view concerning the nature of the quantum state. Next, we will focus on relational quantum mechanics and perspectival quantum mechanics, which in virtue of their relational and perspectival metaphysics employ ontic states $λ$ dealing with relational properties. We conclude that Harrigan and Spekkens' categorization is too narrow and entails an inadequate classification of the mentioned interpretations of quantum theory. Hence, any satisfactory classification of quantum ontological models ought to take into account the variations of $λ$ across different interpretations of quantum mechanics.

Keywords: Completeness; Epistemic quantum states; Incompleteness; Perspectival quantum mechanics; Relational quantum mechanics; Statistical interpretation of quantum mechanics.