Discerning “indistinguishable” quantum systems

Philosophy of Science 80 (1):49-72 (2013)
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Abstract

In a series of recent papers, Simon Saunders, Fred Muller, and Michael Seevinck have collectively argued, against the folklore, that some nontrivial version of Leibniz’s principle of the identity of indiscernibles is upheld in quantum mechanics. They argue that all particles—fermions, paraparticles, anyons, even bosons—may be weakly discerned by some physical relation. Here I show that their arguments make illegitimate appeal to nonsymmetric, that is, permutation-noninvariant, quantities and that therefore their conclusions do not go through. However, I show that alternative, symmetric quantities may be found to do the required work. I conclude that the Saunders-Muller-Seevinck heterodoxy can be saved.

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Adam Caulton
Oxford University

Citations of this work

Explaining identity and distinctness.Erica Shumener - 2020 - Philosophical Studies 177 (7):2073-2096.
The Case Against Factorism: On the Labels of $$\otimes$$-Factor Hilbert-Spaces of Similar Particles in Quantum Mechanics.F. A. Muller & Gijs Leegwater - 2022 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):291-306.
Cartography of the space of theories: An interpretational chart for fields that are both (dark) matter and spacetime.Niels C. M. Martens & Dennis Lehmkuhl - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72 (C):217-236.
Dissecting weak discernibility of quanta.Tomasz Bigaj - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 50:43-53.

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Identity in physics: a historical, philosophical, and formal analysis.Steven French & Décio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.
The identity of indiscernibles.Max Black - 1952 - Mind 61 (242):153-164.
Philosophy of Mathematics and Natural Science.Hermann Weyl - 1949 - Princeton, N.J.: Princeton University Press. Edited by Olaf Helmer-Hirschberg & Frank Wilczek.

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