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Quantum Systems and Identity: Against "Permutation Invariance" | | Ruth E. Kastner
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2 Jan 2023 | | Abstract: | There is an extensive philosophical literature on the interrelated issues of
identity, individuality, and distinguishability. Out of this discussion has
arisen a concept called "permutation invariance" that is asserted to apply to
quantum systems. I argue that in fact there is no such invariance, and that the
best way to understand the permutation of labels in the symmetrized states is
as an exchange of haecceities, rather than as an exchange of essences
equivalent to permutation invariance. I argue that the strongest notion of
haecceity (i.e., "classical haecceity") does not apply at the quantum level,
but that in order to properly account for the need for symmetrization in
quantum systems, a weaker kind of haecceity must be involved, which I call
quantum haecceity. | | Source: | arXiv, 2301.00502 | | Services: | Forum | Review | PDF | Favorites | |
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