The equations of the classical field theory of elementary particles proposed by one of the authors were integrated numerically for the static, spherically-symmetric case. A solution was obtained corresponding essentially to minimum energy, and hence describing a classical electron according to the theory. It was found that the frequency associated with the solution was zero, to within the accuracy of the calculations, for the case of minimum energy. Hence the theory, in its present form, is not capable of accounting for the Sommerfeld fine-structure constant, as had seemed possible.

• Received 22 August 1942

DOI:https://doi.org/10.1103/PhysRev.62.436