Abstract
An extension of the general theory of relativity which makes it possible to incorporate into the geometric scheme the classical electromagnetic field based on the four-dimensional curvilinear metric space with torsion is proposed. This scheme is used to determine the structure of elementary particles, viewed as the characteristic states of the curvilinear space. The equations describing these states are derived, and the static spherically symmetric solution for the gravitational and electric fields that can be regarded as a stable single-particle state is found. It is shown that in order to describe correctly the structure of a stable elementary particle the magnetic field must be taken into account.
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