Skip to main content
Log in

Probing Quantum Structure with Boolean Localization Systems

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

Abstract

In an attempt to probe the objects belonging to the quantum species of structure,we develop the idea of using observables of the Boolean species of structures,as coordinatizing objects in the quantum world. This results in a contextualisticperspective on the latter through local Boolean measurement reference frames.The semantics of this representation is discussed extensively.

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. E. Zafiris, On quantum event structures. Part one: The categorical scheme, Found. Phys. (forthcoming).

  2. E. Zafiris, On quantum event structures. Part two: Interpretational aspects, Found. Phys. (forthcoming).

  3. F. W. Lawvere and S. H. Schanuel (1997). Conceptual Mathematics, Cambridge University Press, Cambridge.

    Google Scholar 

  4. S. MacLane (1971). Categories for the Working Mathematician, Springer-Verlag, New York.

    Google Scholar 

  5. S. MacLane and I. Moerdijk (1992). Sheaves in Geometry and Logic, Springer-Verlag, New York.

    Google Scholar 

  6. J. L. Bell (1988). Toposes and Local Set Theories, Oxford University Press, Oxford.

    Google Scholar 

  7. V. S. Varadarajan (1968). Geometry of Quantum Mechanics, Vol. 1, Van Nostrand, Princeton, New Jersey.

    Google Scholar 

  8. G. Birkhoff and J. von Neumann (1936). Ann. Math. (NY) 37, 823–843.

    Google Scholar 

  9. S. Kochen and E. Specker (1967). J. Math. Mech. 17, 59–87.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zafiris, E. Probing Quantum Structure with Boolean Localization Systems. International Journal of Theoretical Physics 39, 2761–2778 (2000). https://doi.org/10.1023/A:1026409131643

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026409131643

Keywords

Navigation