Is the half-integer spin a first level approximation of the golden mean hierarchy?

This paper shows that the half-integer spin is the first level of the quantized golden mean, and the electron magnetic momentum can be exactly calculated using the classic quantum mechanics without the spin-1/2 theory, where the g-factor was introduced to predict the magnetic momentum. The golden mean predicts an exact value of 2 for the g-factor, and other quantized numbers of the golden mean lead the g-factor to deviation from 2. Our results demonstrate that quantized golden mean evokes a new and challenging branch of physics. We anticipate the quantized golden mean to be a starting point to solve puzzle and paradox in physics and to revitalize a more sophisticated physics based on the golden mean.