# In relativistic electrodynamics , why doesn't the Lorentz force not change its formulation ? And only the electric and magnetic fields transform ?

My question is that when we want to find the Lorentz force acted on a particle moving in an electric and magnetic field , the equation is invariant in any two inertial relativistic frames. Why is that so ? And only the electric and magnetic fields transform ?

$$\frac{dp^{\alpha}}{d\tau}=qF^{\alpha \beta}U_{\beta}$$
The force on the charge q are the 3 spatial components of $\frac{dp^{\alpha}}{d\tau}$. The EM field tensor $F^{\alpha \beta}$ has the components of E and B in it. The 4-velocity $U^{\beta}=(\gamma,\gamma v_x, \gamma v_y, \gamma v_z)$. Please see "Relativistic form of the Lorentz force" down the page in https://en.wikipedia.org/wiki/Lorentz_force if you would like more details on all these covariant objects and how the vector form of the Lorentz force equation falls out.