Foundations of Physics 40 (9-10):1341-1367 (2010)

Gregg Jaeger
Boston University
The positive operator (valued) measures (POMs) allow one to generalize the notion of observable beyond the traditional one based on projection valued measures (PVMs). Here, we argue that this generalized conception of observable enables a consistent notion of unsharp reality and with it an adequate concept of joint properties. A sharp or unsharp property manifests itself as an element of sharp or unsharp reality by its tendency to become actual or to actualize a specific measurement outcome. This actualization tendency—or potentiality—of a property is quantified by the associated quantum probability. The resulting single-case interpretation of probability as a degree of reality will be explained in detail and its role in addressing the tensions between quantum and classical accounts of the physical world will be elucidated. It will be shown that potentiality can be viewed as a causal agency that evolves in a well-defined way
Keywords Unsharp observable  Unsharp property  Fuzzy value  Probability  Quantum indeterminacy  Potentiality  Unsharp reality  Degree of reality  Element of reality  Quantum measurement
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DOI 10.1007/s10701-010-9497-0
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Quantum Reality, Perspectivalism and Covariance.Dennis Dieks - 2019 - Foundations of Physics 49 (6):629-646.
Quantum Logic and Quantum Reconstruction.Allen Stairs - 2015 - Foundations of Physics 45 (10):1351-1361.
Wavefunction Reality, Indeterminate Properties and Degrees of Presence.Fedor Herbut - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (3):182-190.

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