Skip to main content
Log in

Structural Characterization of Compoundness

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We recover the rays in the tensor product of Hilbert spaces within a larger classof so-called “states of compoundness”, structured as a complete lattice with the'state of separation'as its top element. At the base of the construction lies theassumption that the cause of actuality of a property of one individual entity isthe actuality of a property of the other.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Birkhoff, G. (1940). Lattice Theory, AMS, Providence, Rhode Island.

    Google Scholar 

  2. Foulis, D. J. (1960). Proc. AMS 11, 648.

    Google Scholar 

  3. Piron, C. (1964). Helv. Phys. Acta 37, 439.

    Google Scholar 

  4. Pool, J. C. T. (1968). Comm. Math. Phys. 9, 118.

    Google Scholar 

  5. Piron, C. (1976). Foundations of Quantum Physics, Benjamin, New York.

    Google Scholar 

  6. Hellwig, K.-E., and Krausser D. (1977). Int. J. Theor. Phys. 16, 775.

    Google Scholar 

  7. Piron, C. (1977). J. Phil. Logic 6, 481.

    Google Scholar 

  8. Zecca, A. (1977). J. Math. Phys. 19, 1482.

    Google Scholar 

  9. Aerts, D., and Daubechies, I. (1978). Helv. Phys. Acta 51, 661.

    Google Scholar 

  10. Weidmann, J. (1981). Linear Operators in Hilbert Space, Springer-Verlag, Berlin.

    Google Scholar 

  11. Aerts, D. (1982). Found. Phys. 12, 1131.

    Google Scholar 

  12. Johnstone, P. T. (1982). Stone Spaces, Cambridge University Press, Cambridge.

    Google Scholar 

  13. Aerts, D. (1984). J. Math. Phys. 25, 1434.

    Google Scholar 

  14. Pulmannová, S. (1984), J. Math. Phys. 26, 1.

    Google Scholar 

  15. Faure, C.-A., and Frölicher, A. (1993). Geom. Dedicata 47, 25.

    Google Scholar 

  16. Faure, C.-A., and Frörlicher, A. (1994). Geom. Dedicata 53, 273.

    Google Scholar 

  17. Coecke, B. (1995). Helv. Phys. Acta 68, 394.

    Google Scholar 

  18. Faure, C.-A., Moore, D. J., and Piron, C. (1995). Helv. Phys. Acta 68, 150.

    Google Scholar 

  19. Moore, D. J. (1995), Helv. Phys. Acta 68, 658.

    Google Scholar 

  20. Coecke, B. (1998a). Found. Phys. 28, 1109.

    Google Scholar 

  21. Coecke, B. (1998b). Found. Phys. 28, 1347.

    Google Scholar 

  22. Coecke, B., and Stubbe, I. (1999). Found. Phys. Lett. 13(2).

  23. Coecke, B., and Stubbe, I. (1999). Int. J. Theor. Phys., to appear in IQSA-Atlanta-1997.

  24. Moore, D. J. (1999). Stud. Hist. Phil. Mod. Phys. 30, to appear.

  25. Ischi, B. (1999). Ph.D. thesis, in preparation, Université de Genève.

  26. Coecke, B., and Moore, D. J. (1999). Dualizing temporal causation and propagation of properties through the Galois connection, paper presented at the 23th Holiday Mathematics Symposium, New Mexico State University.

  27. Valckenborgh, F. (1999). On subsystem recognition in compound physical systems, Int J. Theor. Phys., this issue

  28. Jauch, J. M., and Piron, C. (1969). Helv. Phys. Acta 42, 842.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coecke, B. Structural Characterization of Compoundness. International Journal of Theoretical Physics 39, 585–594 (2000). https://doi.org/10.1023/A:1003677418744

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1003677418744

Keywords

Navigation