Skip to main content
Log in

Kottler-Cartan-van Dantzig (KCD) and noninertial systems

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Kottler, Cartan, and van Dantzig independently uncovered a key property of the Maxwell equations, which, in retrospect, is instrumental for treating noninertial situations. The essence of this KCD procedure is outlined. Present traditions incompatible with the KCD procedure are identified. KCD predicts a rotation-induced magnetoelectric effect in vacuum, as verified by the experiments of Kennard and Pegram. The description of nonvacuum situations still has some unresolved differences awaiting further experimental delineation. Explicit calculations and technical specifications of experiments receive references to the literature. The emphasis of presentation stresses the conceptual reorganization necessary for lifting the Kennard-Pegram experiments out of their present state of obscurity. The question of whether or not KCD is a physically viable counterpart of the Lagrange-Hamilton-Jacobi procedure in mechanics is contingent on the outcome of more detailed experimentation of the Kennard-Pegram type.

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. Kretschmann,Ann. Phys. (Leipzig) 59, 575 (1919).

    Google Scholar 

  2. J. van Bladel,Proc. IEEE 61, 260 (1973).

    Google Scholar 

  3. J. van Bladel,Proc. IEEE 64, 301 (1976).

    Google Scholar 

  4. F. Kottler,Sitzungsber. AK. Wien IIa,131, 119 (1922).

    Google Scholar 

  5. E. Cartan,Ann. de l'École Norm. Sup. 41, 1 and 12 (1924).

    Google Scholar 

  6. D. van Dantzig,Proc. Cambr. Phil. Sco. 30, 421 (1934);Proc. Ac. Amsterdam 37, 521, 526, 644, 825 (1934).

    Google Scholar 

  7. C. Truesdell and R. A. Toupin, inHandbuch der Physik, Vol. IVV/I (Springer, Berlin, 1960).

    Google Scholar 

  8. H. G. Küssner,Principia Physica (van der Hoeck, Ruprecht, Göttingen 1946).

    Google Scholar 

  9. E. J. Post,Formal Structure of Electromagnetics (North-Holland, Amsterdam 1962).

    Google Scholar 

  10. E. J. Post,Rev. Mod. Phys. 39, 475 (1967).

    Google Scholar 

  11. E. J. Post and D. D. Bahulikar,J. Math, Phys. 12, 1098 (1971).

    Google Scholar 

  12. G. de Rham,Variétés Differentiables (Hermann, Paris, 1955).

    Google Scholar 

  13. S. I. Goldberg,Curvature and Homology (Academic Press, New York, 1962).

    Google Scholar 

  14. H. Flanders,Differential Forms (Academic Press, New York, 1963).

    Google Scholar 

  15. E. J. Post,Ann. Phys. (NY) 71, 497 (1972).

    Google Scholar 

  16. E. J. Post and A. Yildiz,Phys. Rev. Lett. 15, 177 (1965), A. Yildiz and C. H. Tang,Phys. Rev. 146, 947 (1966).

    Google Scholar 

  17. J. A. Schouten,Ricci Calculus (Springer, Berlin, 1954), p. 169.

    Google Scholar 

  18. S. Weinberg,Gravitation and Cosmology (Wiley, New York, 1972), p. 365.

    Google Scholar 

  19. C. V. Heer,Phys. Rev. 131A, 799 (1964).

    Google Scholar 

  20. J. L. Anderson and J. W. Ryon,Phys. Rev. 181, 1976 (1969).

    Google Scholar 

  21. H. Frauenfelder,The Mössbauer Effect (Benjamin, New York, 1962).

    Google Scholar 

  22. C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), p. 168.

    Google Scholar 

  23. T. C. Mo,J. Math. Phys. 11, 2589 (1970).

    Google Scholar 

  24. S. Marinov,Found. Phys. 8, 137 (1978).

    Google Scholar 

  25. L. N. Menegozzi and Willis E. Lamb, Jr.,Phys. Rev. A 8, 2103 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Post, E.J. Kottler-Cartan-van Dantzig (KCD) and noninertial systems. Found Phys 9, 619–640 (1979). https://doi.org/10.1007/BF00708373

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00708373

Keywords

Navigation