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Lattice of quantum predictions

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Abstract

What is the structure of reality? Physics is supposed to answer this question, but a purely empiristic view is not sufficient to explain its ability to do so. Quantum mechanics has forced us to think more deeply about what a physical theory is. There are preconditions every physical theory must fulfill. It has to contain, e.g., rules for empirically testable predictions. Those preconditions give physics a structure that is “a priori” in the Kantian sense. An example is given how the lattice structure of quantum mechanics can be understood along these lines.

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References

  • Aerts, D., and Daubechies, I. (1978). Physical justification for using the tensor product to describe two quantum systems as one joint system.Helvetica Physica Acta,51, 661.

    Google Scholar 

  • Birkhoff, G., and von Neumann, J. (1936). The logic of quantum mechanics.Annals of Mathematics,37, 823.

    Google Scholar 

  • Drieschner, M. (1979).Voraussage, Wahrscheinlichkeit, Objekt. Über die Grundlagen der Quantenmechanik, Springer, Heidelberg.

    Google Scholar 

  • Drieschner, M. (1992). The subject matter of quantum mechanics,International Journal of Theoretical Physics,31, 1615–1625.

    Google Scholar 

  • Fölsing, A. (1983).Galileo Galilei—Prozess ohne Ende, Piper, Munich.

    Google Scholar 

  • Hume, D. (1963).An Enquiry Concerning Human Understanding, E. C. Mossner, ed., New York.

  • Kant, I. (1955).Prolegomena to Any Future Metaphysics, P. Carus, transl., La Salle, Illinois.

  • Matolcsi, T. (1975). Tensor product of Hilbert lattices and free orthodistributive product of orthomodular lattices.Actes de L'académie des Sciences de Szeged, Classe de Sciences Mathématiques,37, 263.

    Google Scholar 

  • Piron, C. (1993).International Journal of Theoretical Physics, this issue.

  • Pulmannová, S. (1985). Tensor product of quantum logics.Journal of Mathematical Physics,26, 1.

    Google Scholar 

  • Scheibe, E., Süssmann, G., and von Weizsäcker, C. F. (1958). Komplementarität und Logik III: Mehrfache Quantelung.Zeitschrift für Naturforschung,13a, 705.

    Google Scholar 

  • Zecca, A. (1981). The superposition of the states and the logic approach to quantum mechanics.International Journal of Theoretical Physics,20, 191.

    Google Scholar 

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Drieschner, M. Lattice of quantum predictions. Int J Theor Phys 32, 1853–1861 (1993). https://doi.org/10.1007/BF00979506

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