Abstract
The direct interaction theory of electromagnetism, also known as Wheeler-Feynman electrodynamics, is often misinterpreted and found unappealing because of its reference to the absorber and, more importantly, to the so-called absorber condition.
Here we remark that the absorber condition is indeed questionable and presumably not relevant for the explanation of irreversible radiation phenomena in our universe. What is relevant and deserves further scrutiny is the emergent effective description of a source particle in an environment. We therefore rephrase what we consider the relevant calculation by Wheeler and Feynman and comment on the status of the theory.
Similar content being viewed by others
References
Bauer, G.: Ein Existenzsatz für die Wheeler-Feynman-Elektrodynamik. Herbert Utz Verlag, München (1997)
Bauer, G., Deckert, D.-A., Dürr, D.: Maxwell-Lorentz dynamics of rigid charges. Commun. Partial Differ. Equ. 38(9), 1519–1538 (2013)
Bauer, G., Deckert, D.-A., Dürr, D.: On the existence of dynamics in Wheeler-Feynman electromagnetism. Z. Angew. Math. Phys 64, 1–38 (2013)
Davies, P.C.W.: The Physics of Time Asymmetry. University of California, Berkeley (1977). Reprint
Deckert, D.-A., Dürr, D., Vona, N.: Delay equations of the Wheeler-Feynman type. In: Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations, Part 3, Moscow, August 14–21, 2011. J. Contemp. Math. Fund. Dir., vol. 47, pp. 46–58 (2013). English preprint at arXiv:1212.6285
Dirac, P.A.M.: Classical theory of radiating electrons. Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 167(929), 148–169 (1938)
Driver, R.D.: Can the future influence the present? Phys. Rev. D, Part. Fields 19, 1098–1107 (1979)
Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics. Mainly Mechanics, Radiation, and Heat, vol. 1. Addison-Wesley, Reading (1963)
Fokker, A.D.: Ein invarianter Variationssatz für die Bewegung mehrerer elektrischer Massenteilchen. Z. Phys. 58, 386–393 (1929)
Hogarth, J.E.: Cosmological considerations of the absorber theory of radiation. Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 267, 365–383 (1962)
Hoyle, F., Narlikar, J.V.: Cosmology and action-at-a-distance electrodynamics. Rev. Mod. Phys. 67(1), 113–155 (1995)
Jackson, J.D.: Classical Electrodynamics, 2nd edn. Wiley, New York (1975)
Louis-Martinez, D.: Exact solutions of the relativistic many body problem. Phys. Lett. A 320(2–3), 103–108 (2003)
Price, H.: Time’s Arrow and Archimedes’ Point. Oxford University Press, New York (1997)
Ridderbos, T.M.: The Wheeler-Feynman absorber theory: a reinterpretation? Found. Phys. Lett. 10(5), 473–486 (1997)
Schild, A.: Electromagnetic two-body problem. Phys. Rev. 131(6), 2762 (1963)
Schwarzschild, K.: Zur Elektrodynamik. II. Die elementare elektrodynamische Kraft. Nachr. Ges. Wiss. Goett. 128, 132 (1903)
Spohn, H.: Large Scale Dynamics of Interacting Particles. Springer, Berlin (1991)
Spohn, H.: Dynamics of Charged Particles and Their Radiation Field. Cambridge University Press, Cambridge (2004)
Tetrode, H.: Über den Wirkungszusammenhang der Welt. Eine Erweiterung der klassischen Dynamik. Z. Phys. A 10, 317–328 (1922)
Wheeler, J.A., Feynman, R.P.: Interaction with the absorber as the mechanism of radiation. Rev. Mod. Phys. 17, 157–181 (1945)
Wheeler, J.A., Feynman, R.P.: Classical electrodynamics in terms of direct inter-particle action. Rev. Mod. Phys. 21, 425–433 (1949)
Acknowledgements
We would like to thank Sheldon Goldstein, Michael Kiessling, Steve Lyle, and Herbert Spohn for stimulating discussions.
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Herbert Spohn on the occasion of his 65th birthday.
Rights and permissions
About this article
Cite this article
Bauer, G., Deckert, DA., Dürr, D. et al. On Irreversibility and Radiation in Classical Electrodynamics of Point Particles. J Stat Phys 154, 610–622 (2014). https://doi.org/10.1007/s10955-013-0837-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10955-013-0837-2