Europhys. Lett.
Volume 48, Number 2, October 1999
Page(s) 115 - 121
Section General
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00448-8

Europhys. Lett, 48 (2), pp. 115-121 (1999)

Electron as a particle of complex mass

M. Molski

Department of Theoretical Chemistry, Faculty of Chemistry, Adam Mickiewicz University
ul. Grunwaldzka 6, PL 60-780 Poznan, Poland
Division of Magnetism Theory, Faculty of Physics, Adam Mickiewicz University
ul. Umultowska 85, PL 61-614 Poznan, Poland

(received 25 January 1999; accepted in final form 23 August 1999)

PACS. 03.50${\rm -z}$ - Classical field theories.
PACS. 11.10Kk - Field theories in dimensions other than four.
PACS. 14.80${\rm -j}$ - Other particles (including hypothetical).


Robinson's model of the electron formulated in terms of classical field theory with the gravitational and the electrostatic fields represented as a unified complex potential is reconsidered. We show that this unified potential is related to a particle of renormalized complex mass $Z_0=m_0\pm im'_0$ with the real part representing the mass of an electron (positron) and the imaginary part $m'_0=\pm\alpha^{1/2}m_{\rm P}$ representing the charge $\pm e$. Comparison is made with Post's electromagnetic model and a quantum model of charged particles formulated in Kaluza-Klein space.


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