A modal ontology of properties for quantum mechanics

Synthese 190 (17):3671-3693 (2013)
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Abstract

Our purpose in this paper is to delineate an ontology for quantum mechanics that results adequate to the formalism of the theory. We will restrict our aim to the search of an ontology that expresses the conceptual content of the recently proposed modal-Hamiltonian interpretation, according to which the domain referred to by non-relativistic quantum mechanics is an ontology of properties. The usual strategy in the literature has been to focus on only one of the interpretive problems of the theory and to design an interpretation to solve it, leaving aside the remaining difficulties. On the contrary, our aim in the present work is to formulate a “global” solution, according to which different problems can be adequately tackled in terms of a single ontology populated of properties, in which systems are bundles of properties. In particular, we will conceive indistinguishability between bundles as a relation derived from indistinguishability between properties, and we will show that states, when operating on combinations of indistinguishable bundles, act as if they were symmetric with no need of a symmetrization postulate.

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Citations of this work

Identity and individuality in quantum theory.Steven French - 2008 - Stanford Encyclopedia of Philosophy.
Quantum modal indeterminacy.Claudio Calosi - 2022 - Studies in History and Philosophy of Science Part A 95 (C):177-184.
Entanglement and indistinguishability in a quantum ontology of properties.Sebastian Fortin & Olimpia Lombardi - 2022 - Studies in History and Philosophy of Science Part A 91 (C):234-243.
Quantum Mechanics: Ontology Without Individuals.Newton da Costa & Olimpia Lombardi - 2014 - Foundations of Physics 44 (12):1246-1257.

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References found in this work

Identity in physics: a historical, philosophical, and formal analysis.Steven French & Décio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.
The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Metaphysics: A Contemporary Introduction.Michael J. Loux & Thomas M. Crisp - 1997 - New York: Routledge. Edited by Thomas M. Crisp.
Modal Interpretations of Quantum Mechanics.Olimpia Lombardi & Dennis Dieks - forthcoming - Stanford Encyclopedia of Philosophy.

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