ADM electrons and the equivalence principle
Noting that the general relativistic ADM equation for the mass of a sphere of charged dust (with no angular momentum) reveals that the masses of point-like particles are determined solely by their electrical charge, electron models based on extended spheres of such purely electrical dust are examined. It is shown that for all “realistic” electron models of this type (where the observed electron mass is positive and many orders of magnitude smaller than either the Planck or ADM mass) the electron's bare active gravitational mass must be taken to be negative. Because of the negativity of the bare active gravitational mass, one of the two “realistic” models leads to a violation of the weak equivalence principle, but the other does not. A means of testing whether negative mass obeys the equivalence principle is mentioned.
Key wordselectron structure equivalence principle negative mass
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- 1.P. Wesson,Space Science Rev. 59, 365–406 (1992).Google Scholar
- 2.R. Arnowitt, S. Deser and C.W. Misner, in L. Witten, ed.,Gravitation: An Introduction to Current Research (Wiley, New York, 1962), pp. 227–265.Google Scholar
- 3.J. Woodward,Found. Phys. Lett. 6, 232–244 (1993).Google Scholar
- 4.R. Price,Am. J. Phys. 61, 216–217 (1993).Google Scholar
- 5.H.-J. Treder,Found. Phys. 22, 395–420 (1992).Google Scholar