Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The Casimir effect and the fine structure constant

  • 50 Accesses

Abstract

We consider the electron as a charged sphere that completely absorbs any radiation with wave number less than somek m . The Casimir effect then provides a self stress which can balance the mutual repulsion of the distinct parts of the finite charge distribution. From this equilibrium condition and connecting, by quantum arguments, the value ofk m to the radius of the electron, we obtain a good estimate for the value of the fine-structure constant.

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

References

  1. 1.

    J. H.. Jeans,Proc. Roy. Soc. A 76, 546 (1905).

  2. 2.

    P. Ehrenfest,Phys. Z. 7, 527 (1906).

  3. 3.

    A. Einstein,Phys. Z. 10, 185 (1909).

  4. 4.

    R. C. Tolman,Phys. Rev. 3, 24 (1914);6, 219 (1915).

  5. 5.

    L. Hopf,Naturwiss. 8, 110 (1920).

  6. 6.

    H. B. G. Casimir,Proc. Kon. Neder. Akad. Weten. 51, 793 (1948).

  7. 7.

    H. B. G. Casimir,Physica 19, 846 (1953).

  8. 8.

    T. H. Boyer,Phys. Rev. 174, 1764 (1968).

  9. 9.

    K. A. Milton,Ann. Phys. (New York) 127, 49 (1980).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Carazza, B., Guidetti, G.P. The Casimir effect and the fine structure constant. Found Phys Lett 2, 245–250 (1989). https://doi.org/10.1007/BF00692670

Download citation

Key words

  • electron model
  • zero-point energy
  • Casimir effect
  • finestructure constant