International Journal of Theoretical Physics

, Volume 44, Issue 7, pp 999–1009 | Cite as

The Born Rule from a Consistency Requirement on Hidden Measurements in Complex Hilbert Space

  • Sven AertsEmail author


We formalize the hidden measurement approach within the very general notion of an interactive probability model. We narrow down the model by assuming that the state space of a physical entity is a complex Hilbert space and introduce the principle of consistent interaction which effectively partitions the space of apparatus states. The normalized measure of the set of apparatus states that interact with a pure state giving rise to a fixed outcome is shown to be in accordance with the probability obtained using the Born rule.


Born rule hidden measurements interactive probability model 


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.CLEA, Vrije Universiteit Brussel (VUB)BrusselsBelgium

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