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Towards Quantum Theory

In: Epistemic Processes

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  • Inge S. Helland

    (University of Oslo, Department of Mathematics)

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.

Suggested Citation

  • Inge S. Helland, 2018. "Towards Quantum Theory," Springer Books, in: Epistemic Processes, chapter 0, pages 57-75, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-95068-6_4
    DOI: 10.1007/978-3-319-95068-6_4
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