  Sommerfeld introduced the fine-structure constant into physics, while he was
taking into account the relativistic effects in the theory of the hydrogen
atom. Ever since, it has puzzled many scientists like Eddington, Dirac, Feynman
and others. Here the mysterious fine-structure constant, alpha = (Compton
wavelength/de Broglie wavelength) = 1/137.036 = 2.627/360 is interpreted based
on the finding that it is close to 2.618/360 = 1/137.508, where the Compton
wavelength for hydrogen is a distance equivalent to an arc length on the
circumference (given by the de Broglie wavelength) of a circle with the Bohr
radius and 2.618 is the square of the Golden ratio, which was recently shown to
divide the Bohr radius into two Golden sections at the point of electrical
neutrality. From the data for the electron (e) and proton (p) g-factors, it is
found that (137.508 - 137.036)= 0.472 = [g(p) - g(e)]/[g(p) + g(e)] (= 2/cube
of the Golden ratio), and that (2.627 - 2.618)/360 = (small part of the Compton
wavelength corresponding to the intrinsic radii of e and p/de Broglie
wavelength) = 0.009/360 = (1- gamma)/gamma, the factor for the advance of
perihilion in Sommerfeld's theory of the hydrogen atom, where gamma is the
relativity factor.
