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On the minimum elementary charge of an extended electromagnetic theory
KTH, Superseded Departments, Alfvén Laboratory.ORCID iD: 0000-0001-6379-1880
2002 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 65, no 3, 200-207 p.Article in journal (Refereed) Published
Abstract [en]

Steady axisymmetric equilibria of an earlier developed extended electromagnetic theory are considered. as based on a nonzero electric field divergence in the vacuum state and Lorentz invariance. The general solutions are derived from a generating function which yields electrically charged particle-like states when its radial part diverges at the origin. For a corresponding electron model, the integrated charge, magnetic moment, mass (energy), and angular momentum still become nonzero and finite, provided that the characteristic radius is made to shrink to that of a point-charge-like state. This removes the problem of an infinite self-energy, and presents a possible alternative to the conventional renormalization process. With the subsidiary quantum conditions on magnetic moment, angular momentum, and magnetic flux. a variational analysis is applied to find an extremum of the electronic charge. The resulting minimum value deviates only by about 3 percent from that of the experimentally determined elementary charge, and it depends only on the velocity of light and Planck's constant. This indicates that the electronic charge may no longer be considered as an independent constant of nature. but can be deduced in terms of these two constants. There could be several possible explanations of the obtained deviation, of which the most probable appears to be due to refinements caused by quantization of the field equations already from the outset.

Place, publisher, year, edition, pages
2002. Vol. 65, no 3, 200-207 p.
URN: urn:nbn:se:kth:diva-21404DOI: 10.1238/Physica.Regular.065a00200ISI: 000174547100002OAI: diva2:340102
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Scheffel, Jan
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