Skip to main content
Log in

On Bell-type inequalities

  • Part I. Invited Papers Dedicated to Constantin Piron
  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

A Bell-type inequality is defined as an inequality of the type 0⩽L⩽1,where L is a linear combination with real coefficients of probabilities p i and joint probabilities p ij ,p ijk ,...,p l ,...,n corresponding to n events. A general theorem on the validity of such inequalities in correspondence to physical assumptions about commutativity or noncommutativity is given. Examples and possible physical applications are discussed.

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. G. Boole,Philos. Trans. R. Soc. London 152, 225 (1862).

    Google Scholar 

  2. I. Pitowsky,Quantum Probability—Quantum Logic (Lecture Notes in Physics, Vol. 321) (Springer, New York, 1969).

    Google Scholar 

  3. E. G. Beltrametti and M. J. Maczynski,J. Math. Phys. 32, 1280 (1991);34, 4919 (1993).

    Google Scholar 

  4. J. S. Bell,Physics 1, 195 (1964).

    Google Scholar 

  5. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt,Phys. Rev. Lett. 23, 880 (1969).

    Google Scholar 

  6. R. Sikorski,Boolean Algebras (Springer, New York 1964).

    Google Scholar 

  7. C. Del Noce, Thesis, Department of Physics, University of Genoa, 1993.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beltrametti, E.G., Maczynski, M.J. On Bell-type inequalities. Found Phys 24, 1153–1159 (1994). https://doi.org/10.1007/BF02057861

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02057861

Keywords

Navigation