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In the main text it was stated that for electrostatic reasons the electron was to be considered as a spinning spherical shell. Consequently it is necessary to determine the spin angular momentum of such a configuration and this is the subject of this Appendix. Consider Fig. A.1
From Fig.A.1, the rest mass of the elemental is
The velocity of the elemental is
The energy mass of the elemental is therefore
So that the relativistic angular momentum of the elemental is
Taking a second order relativistic approximation
Integrating over the surface of the sphere
First with respect to f gives
then with respect to q to yield after minor reduction
Taking an approximate binomial contraction this gives
When wspGe ® c this approximation gives about a 10% error. It is however, adequate for the purpose required in this paper.
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P.G.Bass, April 2008
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