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General relativistic models for the electron

Mathematical Physics 2014-11-18 v1 math.MP

Abstract

A model is proposed for the classical electron as a point charge with finite electromagnetic self-energy. Modifications of the Reissner-Nordstr{\o}m (spin 0) and Kerr-Newman (spin 1/2) solutions of the Einstein-Maxwell equations are derived. It is conjectured that spacetime curvature very close to the point charge deforms the electric and magnetic fields such as to reduce the self-energy to a finite value by means of Hawking polarization of the vacuum, much like that around a black hole.

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Cite

@article{arxiv.math-ph/0105029,
  title  = {General relativistic models for the electron},
  author = {S. M. Blinder},
  journal= {arXiv preprint arXiv:math-ph/0105029},
  year   = {2014}
}

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8 pages