ABSTRACT: The primary purpose of this paper isto provide the general solution to the equation describing radial motion for a classical extensible model of an electron as formulated by Dirac (1962). The general solution can be used in a Bohr-Sommerfeld quantization scheme for both angular momentum and vibrations. It is shown that one cannot satisfy both quantum requirements simultaneously but one or the other can always be satisfied exactly. Dirac considered only the vibration quantization (leading to a definition of the muon) from the point of view of small amplitude oscillations around an equilibrium state and so did not obtain an acceptable mass for the muon and he was silent about the angular momentum requirement.
Keyword: electron, extensible model, Dirac.
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