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Individuation in Quantum Mechanics and Space-Time

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Abstract

Two physical approaches—as distinct, under the classification of Mittelstaedt, from formal approaches—to the problem of individuation of quantum objects are considered, one formulated in spatiotemporal terms and one in quantum mechanical terms. The spatiotemporal approach itself has two forms: one attributed to Einstein and based on the ontology of space-time points, and the other proposed by Howard and based on intersections of world lines. The quantum mechanical approach is also provided here in two forms, one based on interference and another based on a new Quantum Principle of Individuation (QPI). It is argued that the space-time approach to individuation fails and that the quantum approach offers several advantages over it, including consistency with Leibniz’s Principle of Identity of Indiscernibles.

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Correspondence to Gregg Jaeger.

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Jaeger, G. Individuation in Quantum Mechanics and Space-Time. Found Phys 40, 1396–1409 (2010). https://doi.org/10.1007/s10701-010-9489-0

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