The Three-Box “Paradox” and Other Reasons to Reject the Counterfactual Usage of the ABL Rule

Foundations of Physics 29 (6):851-863 (1999)
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Abstract

An apparent paradox proposed by Aharonov and Vaidman in which a single particle can be found with certainty in two (or more) boxes is analyzed by way of a simple thought experiment. It is found that the apparent paradox arises from an invalid counterfactual usage of the Aharonov-Bergmann-Lebowitz (ABL) rule and effectively attributes conflicting properties not to the same particle but no different particles. A connection is made between the present analysis and the consistent histories formulation of Griffiths. Finally, a critique is given of some recent counterarguments by Vaidman against the rejection of the counterfactual usage of the ABL rule

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Citations of this work

Weak Values and Quantum Properties.A. Matzkin - 2019 - Foundations of Physics 49 (3):298-316.
Weak values and consistent histories in quantum theory.Ruth Kastner - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):57-71.
Weak values and consistent histories in quantum theory.Ruth Kastner - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):57-71.
The transactional interpretation, counterfactuals, and weak values in quantum theory.Ruth E. Kastner - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):806-818.

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References found in this work

Counterfactuals.David K. Lewis - 1973 - Malden, Mass.: Blackwell.
The Logic of Scientific Discovery.K. Popper - 1959 - British Journal for the Philosophy of Science 10 (37):55-57.
Weak-measurement elements of reality.Lev Vaidman - 1996 - Foundations of Physics 26 (7):895-906.
Time-Symmetrized Counterfactuals in Quantum Theory.Lev Vaidman - 1999 - Foundations of Physics 29 (5):755-765.

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