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Towards Quantum Theory

Inge S. Helland
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Inge S. Helland: University of Oslo, Department of Mathematics

Chapter Chapter 4 in Epistemic Processes, 2018, pp 57-75 from Springer

Abstract: Abstract The point of departure is that of an inaccessible conceptual variable; several examples are given, both macroscopic and microscopic. One focuses on a certain e-variable, a function the inaccessible conceptual variable. Some questions on the foundation of quantum theory are briefly addressed. Next, a maximal symmetric setting is defined, where certain symmetry assumptions are introduced. Spekkens’ toy model is discussed and is related to this setting. A concrete Hilbert space is defined, and it is shown that under a certain technical condition question-and answer pairs concerning e-variables are in one-to-one correspondence with unit vectors of this Hilbert space. Finally, a more general symmetric setting, corresponding to degenerate eigenvalues of the relevant operator, is discussed.

Keywords: Spekkens; Concrete Hilbert Space; Ontic Status; Angular Momentum Case; Epistemic Status (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-95068-6_4

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DOI: 10.1007/978-3-319-95068-6_4

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