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Is quantum mechanics an atomistic theory?

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Abstract

If quantum mechanics (QM) is to be taken as an atomistic theory with the elementary particles as atoms (an ATEP), then the elementary particlcs must be individuals. There must then be, for each elementary particle a, a property “being identical with a” that a alone has. But according to QM, elementary particles of the same kind share all physical properties. Thus, if QM is an ATEP, identity is a metaphysical but not a physical property. That has unpalatable consequences. Dropping the assumption that QM is an ATEP makes it possible to replace the assumption that elementary particles are individuals with the assumption that there are various kinds of elementary ‘stuff’ that have smallest quantities — the smallest quantity of light, for example, is a photon. The problems about identity disappear, and the explanatory virtues of an ATEP are maintained.

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I would like to thank various referees for their comments, as well as David Albert, Gerald Feinberg, Isaac Levi, James Lewis, Andre Mirabelli, Sidney Morgenbesser, Sarah Stebbins, Chris Swoyer, and Steve Yablo for useful discussions, and Arthur Fine for his comments on a presentation at Stanford University of a preliminary version of this paper in 1986.

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Lavine, S. Is quantum mechanics an atomistic theory?. Synthese 89, 253–271 (1991). https://doi.org/10.1007/BF00413907

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