A new relativistic electromagnetic force law alternative to the Lorentz force law in special relativity

We introduce new relativistic mechanics of a material particle, where the {rest mass of the particle} is not a constant, but a known function of the Lorentz factor $\gamma$, alternative to the relativistic mechanics of Einstein's special relativity, where the {rest mass of the particle} is a constant. We first introduce a new relativistic linear momentum alternative to the relativistic linear momentum in special relativity, and then we find a new relativistic force law alternative to the relativistic force law in special relativity. After that, we introduce a new relativistic electromagnetic force law alternative to the Lorentz force law in special relativity, and then we use the muon g-2 experiments, done by J. Bailey \textit{et al}. [\textit{Nature} \textbf{268}, 301-305 (1977)] and G.W. Bennett \textit{et al}. [\textit{Phys. Rev. D} \textbf{73}, 072003 (2006)], to see whether those experiments are supportive evidence for the new law alternative to the Lorentz force law in special relativity.