Foundations of Physics

, Volume 33, Issue 2, pp 179–221 | Cite as

Radiation from Bodies with Extreme Acceleration II: Kinematics

  • Ulrich H. Gerlach


When applied to a dipole source subjected to acceleration which is violent and long lasting (“extreme acceleration”), Maxwell's equations predict radiative power which augments Larmor's classical radiation formula by a nontrivial amount. The physical assumptions behind this result are made possible by the kinematics of a system of geometrical clocks whose tickings are controlled by cavities which are expanding inertially. For the purpose of measuring the radiation from such a source we take advantage of the physical validity of a spacetime coordinate framework (“inertially expanding frame”) based on such clocks. They are compatible and commensurable with the accelerated clocks of the accelerated source. By contrast, a common Lorentz frame with its mutually static clocks won't do: It lacks that commensurability. Inertially expanding clocks give a physicist a window into the frame of a source with extreme acceleration, and thus can locate that source and measure radiation from it without being subjected to such acceleration himself. The conclusion is that inertially expanding reference frames reveal qualitatively distinct aspects of nature which would not be accessible if inertial frames were the only admissible frames.

Larmor radiation horizon Rindler boost accelerated measurement clock 


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  1. 1.
    C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chap. 6.3, pp. 168–169.Google Scholar
  2. 2.
    C. W. Misner, K. S. Thorny, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chap. 6.6, pp. 172–173.Google Scholar
  3. 3.
    U. H. Gerlach, Phys. Rev. D 64, 105004(2001), gr-qc/0110048, URL∼gerlach.Google Scholar
  4. 4.
    A. Trautman, F. Pirani, and H. Bondi, Lectures on General Relativity (Prentice–Hall, Englewood Cliffs, N.J., 1965), Vol. 1 of Brandeis Summer Institute in Theoretical Physics, 1964, pp. 377–406.Google Scholar
  5. 5.
    W. Rindler, Am. J. Phys. 34, 1174(1966).Google Scholar
  6. 6.
    E. F. Taylor and J. A. Wheeler, Spacetime Physics2nd edn. (Freeman, San Francisco, 1992), Chap. 2.6, pp. 37–39, 2nd edn.Google Scholar
  7. 7.
    H. Binswanger and L. Peikoff, eds., Introduction to Objectivist Epistemology2nd edn. (Meridian, a division of Penguin Books USA Inc., New York, 1990), 2nd edn.Google Scholar
  8. 8.
    L. Peikoff, Objectivism: The Philosophy of Ayn Rand (Meridian, a division of Penguin Books, New York, 1993).Google Scholar
  9. 9.
    T. Udem, R. Holwarth, and T. Haensch, Nature 416, 233(2002).Google Scholar
  10. 10.
    H.-Y. Chiu and W. F. Hoffman, Gravitation and Relativity (Benjamin, New York, N.Y., 1963).Google Scholar
  11. 11.
    A. Einstein, Relativity, The Special and the General Theory (Crown, New York, 1961).Google Scholar
  12. 12.
    H. Wolf, ed., Some Strangeness in Proportion (Addison–Wesley, Reading, Mass., 1980), p. 285.Google Scholar
  13. 13.
    E. Schroedinger, Expanding Universes (Cambridge University Press, New York, 1956), p. 20.Google Scholar
  14. 14.
    T. Padmanabhan, Phys. Rev. Lett. 64, 2471(1990).Google Scholar
  15. 15.
    L. Parker, Fundamentals of Cosmic Physics 7, 201(1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Ulrich H. Gerlach
    • 1
  1. 1.Department of MathematicsOhio State UniversityColumbus

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