International Journal of Theoretical Physics

, Volume 43, Issue 6, pp 1343–1354

Quantum Logic and Decoherence

  • Peter Mittelstaedt

DOI: 10.1023/B:IJTP.0000048619.87198.35

Cite this article as:
Mittelstaedt, P. International Journal of Theoretical Physics (2004) 43: 1343. doi:10.1023/B:IJTP.0000048619.87198.35


The quantum logical approach to quantum mechanics in Hilbert space presupposes value definiteness of elementary propositions. Although the description of the measurement process by sequential quantum logic seems to justify this precondition, it is found to be incompatible with the quantum theory of measurement, which does not provide the decoherence of pointer values. The attempts to solve the measurement problem by means of histories and by quantum gravity fail, since these approaches are based on sequential quantum logic and its preconditions, too. Finally, we discuss consequences of these results.

quantum logic decoherence objectification 

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • Peter Mittelstaedt
    • 1
  1. 1.University of CologneCologneGermany

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