The following is a paper by H. Aspden published in Physics Letters, v. 119A, pp. 109-111 (1986).
Abstract: Recent proposals that an electron might contain an 'imprisoned' photon in its field system suggest a wave resonance which allows the QED determination of the electron g-factor to be used to establish the precise value of the fine structure constant, given its approximate value as 1/137. The value of α-1 is found to be 137.03599, in precise accord with its measured value.