Deriving Born’s Rule from an Inference to the Best Explanation

Foundations of Physics 50 (12):1781-1793 (2020)
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Abstract

In previous articles we presented a simple set of axioms named “Contexts, Systems and Modalities”, where the structure of quantum mechanics appears as a result of the interplay between the quantized number of modalities accessible to a quantum system, and the continuum of contexts that are required to define these modalities. In the present article we discuss further how to obtain Born’s rule within this framework. Our approach is compared with other former and recent derivations, and its strong links with Gleason’s theorem are particularly emphasized.

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References found in this work

Inference to the Best explanation.Peter Lipton - 2005 - In Martin Curd & Stathis Psillos (eds.), The Routledge Companion to Philosophy of Science. New York: Routledge. pp. 193.
Do we really understand quantum mechanics?Franck Laloë - 2012 - New York: Cambridge University Press.
Between classical and quantum.Nicolaas P. Landsman - 2007 - Handbook of the Philosophy of Science 2:417--553.

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