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

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

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,611

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Ibe and ebi: On explanation before inference.Johannes Persson - 2007 - In Johannes Persson & Petri Ylikoski (eds.), Rethinking Explanation. Springer.
A simple proof of Born’s rule for statistical interpretation of quantum mechanics.Biswaranjan Dikshit - 2017 - Journal for Foundations and Applications of Physics 4 (1):24-30.
Updating the Born Rule.Sally Shrapnel, Fabio Costa & Gerard Milburn - 2018 - New Journal of Physics 20: 053010.
Violation of the Born Rule: Implications for Macroscopic Fields.Ruth Kastner - 2016 - International Journal of Quantum Foundations 2 (3).
Inference to the Best Explanation Made Incoherent.Nevin Climenhaga - 2017 - Journal of Philosophy 114 (5):251-273.

Analytics

Added to PP
2020-02-03

Downloads
24 (#662,338)

6 months
15 (#174,673)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

References found in this work

Inference to the Best explanation.Peter Lipton - 2004 - In Martin Curd & Stathis Psillos (eds.), The Routledge Companion to Philosophy of Science. 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.

Add more references