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

R. E. Kastner

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

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Discussion: Time-symmetric quantum counterfactuals.Lev Vaidman - manuscriptdetails There is a trend to consider counterfactuals as invariably time-asymmetric. Recently, this trend manifested itself in the controversy about validity of counterfactual application of a time-symmetric quantum probability rule. Kastner (2003) analyzed this controversy and concluded that there are time-symmetric quantum counterfactuals which are consistent, but they turn out to be trivial. I correct Kastner's misquotation of my defense of time-symmetric quantum counterfactuals and explain their non-trivial aspects, thus contesting the claim that counterfactuals have to be time-asymmetric. Download Export citation Bookmark 1 citation
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.details Download Export citation Bookmark 2 citations
Weak Values and Quantum Properties.A. Matzkin - 2019 - Foundations of Physics 49 (3):298-316.details We investigate in this work the meaning of weak values through the prism of property ascription in quantum systems. Indeed, the weak measurements framework contains only ingredients of the standard quantum formalism, and as such weak measurements are from a technical point of view uncontroversial. However attempting to describe properties of quantum systems through weak values—the output of weak measurements—goes beyond the usual interpretation of quantum mechanics, that relies on eigenvalues. We first recall the usual form of property ascription, based (...) Download Export citation Bookmark 4 citations
Shutters, boxes, but no paradoxes: Time symmetry puzzles in quantum theory.Ruth E. Kastner - 2004 - International Studies in the Philosophy of Science 18 (1):89 – 94.details The "N-box experiment" is a much-discussed thought experiment in quantum mechanics. It is claimed by some authors that a single particle prepared in a superposition of N+1 box locations and which is subject to a final "post-selection" measurement corresponding to a different superposition can be said to have occupied "with certainty" N boxes during the intervening time. However, others have argued that under closer inspection, this surprising claim fails to hold. Aharonov and Vaidman have continued their advocacy of the claim (...) Download Export citation Bookmark 1 citation
(1 other version)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.details ABSTRACT: A relation is obtained between weak values of quantum observables and the consistency criterion for histories of quantum events. It is shown that ``strange'' weak values for projection operators always correspond to inconsistent families of histories. It is argued that using the ABL rule to obtain probabilities for counterfactual measurements corresponding to those strange weak values gives inconsistent results. This problem is shown to be remedied by using the conditional weight, or pseudo-probability, obtained from the multiple-time application of Luders' (...) Download Export citation Bookmark 5 citations
The nature of the controversy over time‐symmetric quantum counterfactuals.Ruth E. Kastner - 2003 - Philosophy of Science 70 (1):145-163.details It is proposed that the recent controversy over "time-symmetric quantum counterfactuals" (TSQCs), based on the Aharonov-Bergmann-Lebowitz Rule for measurements of pre- and post-selected systems, can be clarified by taking TSQCs to be counterfactuals with a specific type of compound antecedent. In that case, inconsistency proofs such as that of Sharp and Shanks (1993) are not applicable, and the main issue becomes not whether such statements are true, but whether they are nontrivial. The latter question is addressed and answered in the (...) Download Export citation Bookmark 4 citations

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