Role of Gravitation in Elementary Particle Structure
2020
It is shown in the tetrad representation that there are Reissner–Nordstrom solutions describing systems with a finite action and total inertial mass equal to the gravitational mass. These systems consist of entirely electromagnetic and gravitational fields. There are not any massive point-charges inside them. The system is called ‘‘the classical electron’’ if its charge is equal to
$${-}4.80\times 10^{-10}$$
esu. Its electromagnetic field is localized in a space region of about
$$10^{-34}$$
cm. The total stress tensor for the classical electron is shown to be identically zero. This means that there is no need in an additional surface-tension of unknown nature preventing the system disintegration, as it takes place in the Lorentz electron model. The hypothesis that gravitation can play a crucial role in the structure of all elementary particles is discussed.
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