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T0 Separation in Axiomatic Quantum Mechanics

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Abstract

Using the physical duality between states and properties, Aerts et al. obtained a“lattice” representation for all closure spaces, through state property systems. Inthis paper I discuss the equivalence of 'state determination' for state propertysystems with T0 separation for closure spaces. I also provide a link withwell-known lattice representations of closure spaces, through some results of Erné.

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REFERENCES

  • Aerts, D. (1982). Description of many physical entities without the paradoxes encountered in quantum mechanics, Found. Phys. 12, 1131-1170.

    Google Scholar 

  • Aerts, D. (1983). Classical theories and non classical theories as a special case of a more general theory, J. Math. Phys. 24, 2441-2454.

    Google Scholar 

  • Aerts, D., Colebunders, E., Van der Voorde, A., and Van Steirteghem, B. (1999). State property systems and closure spaces: A study of categorical equivalence, Int. J. Theor. Phys. 38, 359-385.

    Google Scholar 

  • Aumann, G. (1970). Kontakt-Relationen, Sitz. Ber. Bayer. Akad. Wiss. Math. Nat. Kl. 1970, 67-77.

    Google Scholar 

  • Birkhoff, G. (1967). Lattice Theory, American Mathematical Society, Providence, Rhode Island.

    Google Scholar 

  • Erné, M. (1984). Lattice representations for categories of closure spaces, in Categorical Topology, Heldermann Verlag, Berlin, pp. 197-222.

    Google Scholar 

  • Ganter, B., and Wille, R. (1999). Formal Concept Analysis, Springer-Verlag, Berlin.

    Google Scholar 

  • Moore, D. J. (1995). Categories of representations of physical systems, Helv. Phys. Acta 68, 658-678.

    Google Scholar 

  • Moore, D. J. (1999). On state spaces and property lattices, Stud. Hist. Phil. Mod. Phys., 30, 61-83.

    Google Scholar 

  • Moore, D. J. (2000). Fundamental structures in physics: A categorical approach, Int. J. Theor. Phys. this issue.

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

    Google Scholar 

  • Piron, C. (1989). Recent developments in quantum mechanics, Helv. Phys. Acta 62, 82-90.

    Google Scholar 

  • Piron, C. (1990). Mécanique quantique bases et applications, Presses Polytechniques et Universitaires Romandes, Lausanne.

    Google Scholar 

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Authors and Affiliations

  1. FUND, Department of Mathematics, Brussels Free University, B-1050, Brussels, Belgium

    Bart Van Steirteghem (Research Assistant)

  2. Fund for Scientific Research—Flanders, Belgium

    Bart Van Steirteghem (Research Assistant)

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  1. Bart Van Steirteghem
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Van Steirteghem, B. T0 Separation in Axiomatic Quantum Mechanics. International Journal of Theoretical Physics 39, 955–962 (2000). https://doi.org/10.1023/A:1003603719170

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  • DOI: https://doi.org/10.1023/A:1003603719170

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