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A Model of the Electron in a 6-Dimensional Spacetime

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Abstract

The electron is considered as a massless point-particle which moves in a spacetime with (3+3) dimensions subjected to a field that attracts it towards the (3+1) standard spacetime. This field is assumed to be described by the radial time component of the e.m. 6-potential and to be due to the vacuum polarization arising when the charge of the electron is removed from the (3+1) spacetime. The pertinent Klein-Gordon equitation in 6 dimensions is solved and the right values for the electron magnetic moment and spin are derived. The rest mass of the electron, as it appears in the standard (3+1) spacetime, is obtained as an integration constant from the motion in the two extra time dimensions. The very simple form assumed as a first approximation for the attractive potential does not give quantized rest masses.

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Authors
  1. Paolo Lanciani
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Lanciani, P. A Model of the Electron in a 6-Dimensional Spacetime. Foundations of Physics 29, 251–265 (1999). https://doi.org/10.1023/A:1018825722778

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