The extended electron
Hi Think
The extended electron has a long and rich history. As Kirk T. McDonald points out in "Limits on the Applicability of Classical Electromagnetic Fields as Inferred from the Radiation Reaction",
http://www.hep.princeton.edu/~mcdonald/accel/radreact.pdf
H.A. Lorentz was one of the first to study the extended electron:
"The present formulation of the radiation reaction is due to Lorentz' investigations of the self force of an extended electron, beginning in 1892 [4] and continuing through 1903 [5]. The example of dipole radiation of a single charge contrasts strikingly with Maxwell's discussion of reaction forces during specular reflection. There is no net momentum radiated by an oscillating charge with zero average velocity, but energy is radiated. The external force alone can not account for the energy balance. An additional force is needed, and was identified by Lorentz as the net electromagnetic force of one part of an extended, accelerated charge distribution on another."
[4] H.A. Lorentz, “La Theorie ´Electromagnetique de Maxwell et son Application aux Corps Mouvants”, Arch. Ne´erl. 25, 363-552 (1892), reprinted in Collected Papers (Martinus Nijho®, The Hague, 1936), Vol. II, pp. 64-343.
[5] H.A. Lorentz, “Weiterbildung der Maxwellschen Theorie. Elektronen Theorie”, Enzykl. Math. Wiss. 5, part II, no. 14, 151-279 (1903), especially secs. 20-21; “Contributions to the Theory of Electrons”, Proc. Roy. Acad. Amsterdam 5, 608 (1903), reprinted in Collected Papers, Vol. III, 132-154.
For the MIE, BORN, INFELD NONLINEAR ELECTRODYNAMICS see:
http://216.239.39.104/search?hl=en&....cft.edu.pl/~b\irula/publ/BornInf.ps+born+mie
Possibly the best history of the extended electron appears in "The Electron: New Theory and Experiment" (http://www.neutrino.co.jp/abi_ftph/0-7923-1356-9.PDF ) edited by David Hestenes, Dept. of Physics and Astronomy, Arizona State University, Tempe, USA and Antonio Weingartshofer; wherein A.O. Barut presents his history of the electron in "Brief History and Recent Developments in Electron Theory and Quantum Electrodynamics" This book is quite expensive and I have found no other source of Asim Barut's history of the electron.
There are now four active theoretical groups that I've read about that promote an extended particle:
Werner Hofer's Microdynamics
http://www.cmmp.ucl.ac.uk/~wah/md.html
Carver Mead's superconducting loops (See his book "Collective Electrodynamics")
Randell Mills' disc electrons
http://www.blacklightpower.com/science.shtml
and the Commonsense Science electron rings.
http://www.commonsensescience.org/
There are some differences between them but all support the principle that an extended distribution of accelerated charge won't radiate and that the extended particle is held together by magnetic fields generated by moving charge.
HOFER
See "Internal structures of electrons and photons: the concept of extended particles revisited" by W. A. Hofer
http://arxiv.org/abs/quant-ph/9806066
In the Oct. 2002 issue of "Materials Today" pp 24-30, Werner A. Hofer presented "Unraveling Electron Mysteries" which explains *scanning tunneling microscopy* (STM). The entire article was found at:
http://www.materialstoday.com/pdfs_5_10/hofer.pdf
but I was unable to find it today. I do have an excerpt: In the Conclusion and outlook of "Unraveling Electron Mysteries" W. Hofer states:
"Given the evidence from STM simulations and experiments, it is difficult to remain in favor of the particle model of electrons. Recapturing the essentials of the preceding sections, we can say that:
(i) electrons are detected as extended charge distributions;
(ii) bonds form when the overlap of different regions of electron charge surpass a certain threshhold;
(iii) the magnetization direction of electron charge is detected in magnetic STM experiments;
(iv) the interaction between atoms is produced by charge redistributions and current flow; and
(v) the phase memory of traveling surface electrons is reduced by inelastic processes involving other electrons and phonons.
In fact, the only point where discrete properties of electrons still enter the picture is the statistical description of solid state theory. It seems that Don Eigler summed up the evidence when he said: 'I don't believe in this wave-particle duality... I think it's mostly just left over baggage of having started off understanding the world in terms of particles and then being forced, because of the quantum revolution, to think of the world in terms of waves...
Don't even think of them as particles. Electrons are waves. And if you think of them in terms of waves, you will always end up with the right answer.
Always'
This question, which touches the fundamental understanding of our physical environment, will certainly occupy scientists for some years to come. It is a fair guess, though, that its ultimate resolution will not substantially change the direction of research in STM. This research, and the profound insights it provides, has already taught us more about the nature of electrons than the wildest speculations could have envisioned twenty years ago. And it can be expected that ever more ingenious experiments, together with improved theoretical models, will ultimately improve our understanding sufficiently to
attain what is today often wishful thinking rather than scientific reality; the ability to construct electronic devices built of only a few atoms or molecules."