Skip to main content
Log in

Four-Vector Representation of Fundamental Particles

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

Abstract

Modifying a proposal by Harari and Shupe, we associate with each lepton, quark,and gauge boson a fundamental 4-vector with entries ±1 or 0. A Feynman vertexcorresponds to the addition of two fundamental vectors giving rise to a third.

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. S. L. Adler (1994), Physics Letters B 332, 358–365.

    Google Scholar 

  2. S. L. Adler, Quaternions, Quantum Mechanics and Quantum Fields (Oxford University Press, Oxford, 1995).

    Google Scholar 

  3. R. P. Feynman, QED, the Strange Theory of Light and Matter (Princeton University Press, Princeton, New Jersey, 1985).

    Google Scholar 

  4. M. Gell-Mann, The Quark and the Jaguar (Freeman, New York, 1994).

    Google Scholar 

  5. H. Harari (1979), Physics Letters 86B, 83–86.

    Google Scholar 

  6. H. Harari (1983), Scientific American 248, 56–68.

    Google Scholar 

  7. J. Lambek (1995), Mathematical Intelligencer 17, 7–15.

    Google Scholar 

  8. J. Lambek (1996), Quaternions and the Particles of Nature, Report from the Department of Mathematics and Statistics, McGill University, Montreal, Canada.

    Google Scholar 

  9. M. A. Shupe (1979), Physics Letters 86B, 87–92

    Google Scholar 

  10. A. Sudbery, Quantum Mechanics and the Particles of Nature (Cambridge University Press, Cambridge, 1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lambek, J. Four-Vector Representation of Fundamental Particles. International Journal of Theoretical Physics 39, 2253–2258 (2000). https://doi.org/10.1023/A:1003764015036

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1003764015036

Keywords

Navigation