Skip to main content
SpringerLink
Log in

A logical explanation for quarks

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We construct a quantum logic which generates the usual quark states. It follows from this model that quarks can combine only in quark-antiquark pairs and quark (and antiquark) triples. The ground meson and baryon states are also generated and gluons are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Birkhoff and J. von Neumann,The logic of quantum mechanics, Ann. Math. 37, 823 (1936).

    Google Scholar 

  2. F. Close,An Introduction to Quarks and Partons (Academic Press, New York, 1979).

    Google Scholar 

  3. D. Foulis and C. Randall, Operational statistics I. Basic concepts,J. Math. Phys. 13, 1167 (1972).

    Google Scholar 

  4. H. Georgi, A unified theory of elementary particles and forces,Sci. Am. 224, 48 (1981).

    Google Scholar 

  5. S. Gudder,Stochastic Methods in Quantum Mechanics (North-Holland, New York, 1979).

    Google Scholar 

  6. S. Gudder, G. Ruttiman, and R. Greechie, Measurements, Hilbert space and quantum logics (to appear).

  7. J. Jauch,Foundations of Quantum Mechanics (Addison-Wesley, Reading, Mass., 1968).

    Google Scholar 

  8. G. Mackey,The Foundations of Quantum Mechanics (Benjamin, New York, 1963).

    Google Scholar 

  9. C. Piron, Axiomatique quantique,Helv. Phys. Acta 37, 439 (1964).

    Google Scholar 

  10. C. Piron,Foundations of Quantum Mechanics (Benjamin, New York, 1976).

    Google Scholar 

  11. C. Randall and D. Foulis, Operational Statistics II. Manuals of operations and their logics,J. Math. Phys. 14, 1472 (1972).

    Google Scholar 

  12. V. Varadarajan,Geometry of Quantum Theory, Vols. 1 and 2 (Van Nostrand Reinhold, Princeton, N.J., 1968, 1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Denver, Denver, Colorado

    Stanley P. Gudder

Authors
  1. Stanley P. Gudder
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gudder, S.P. A logical explanation for quarks. Found Phys 12, 419–431 (1982). https://doi.org/10.1007/BF00726786

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00726786

Keywords

Search

Navigation