This paper proposes a new perspective on spin angular momentum. Traditionally, electron spin precession is based on the assumption of uniform circular motion. In this study, we model the acceleration as a simple harmonic oscillator and the precession as a sinusoidal function. This approach reveals a double angle in the outer product of the Thomas precession and demonstrates that half the circumference of a photon yields an angular velocity equivalent to one rotation. Additionally, we show that a single electron can exhibit both up and down spins depending on the time transition. We further explore the effect of Lorentz contraction on the circumference in the direction of the axis of rotation. Einstein noted that in a rotating coordinate system, the ratio of circumference to diameter deviates from $pi$. We propose that this Lorentz contraction accounts for the anomalous magnetic moment. By treating the anomalous magnetic moment as a Lorentz contraction of rotational angular momentum, we calculate the stationary free electron's average trembling motion velocity within Compton wavelengths to be approximately four percent of the speed of light. Moreover, we include considerations from general relativity, using the Schwarzschild radius to predict the electron's size.