Quantum indeterminacy and the eigenstate-eigenvalue link

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Abstract

Can quantum theory provide examples of metaphysical indeterminacy, indeterminacy that obtains in the world itself, independently of how one represents the world in language or thought? We provide a positive answer assuming just one constraint of orthodox quantum theory: the eigenstate-eigenvalue link. Our account adds a modal condition to preclude spurious indeterminacy in the presence of superselection sectors. No other extant account of metaphysical indeterminacy in quantum theory meets these demands.

Original languageEnglish (US)
Pages (from-to)11181-11212
Number of pages32
JournalSynthese
Volume199
Issue number3-4
DOIs
StatePublished - Dec 2021

Bibliographical note

Funding Information:
We would like to thank the audience at the 2019 Quantum Indeterminacy Workshop at Dartmouth College (where we presented under the title, “Little Shallows in the Depths: Indeterminacy in Quantum Theory,”) and three anonymous referees for their comments, which led to substantial improvement in our arguments.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

  • Eigenstate-eigenvalue link
  • Indeterminacy
  • Quantum logic
  • Superselection

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