New Forms of Quantum Value Indefiniteness Suggest That Incompatible Views on Contexts Are Epistemic.

Entropy (Basel)

Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10/136, 1040 Vienna, Austria.

Published: May 2018

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Article Abstract

Extensions of the Kochen-Specker theorem use quantum logics whose classical interpretation suggests a true-implies-value indefiniteness property. This can be interpreted as an indication that any view of a quantum state beyond a single context is epistemic. A remark by Gleason about the ad hoc construction of probability measures in Hilbert spaces as a result of the Pythagorean property of vector components is interpreted platonically. Unless there is a total match between preparation and measurement contexts, information about the former from the latter is not ontic, but epistemic. This is corroborated by configurations of observables and contexts with a truth-implies-value indefiniteness property.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512925PMC
http://dx.doi.org/10.3390/e20060406DOI Listing

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