  From the development of the electron theory by H. A. Lorentz in 1906, many
authors have tried to reformulate this model named "radiation reaction". P. A.
M. Dirac derived the relativistic-classical electron model in 1938, which is
now called the Lorentz-Abraham-Dirac model. But this model has the big
difficulty of the run-away solution. Recently, this equation has become
important for ultra-intense laser-electron (plasma) interactions. Therefore, it
is desirable to stabilize this model of the radiation reaction for estimations.
Via my recent research, I found a stabilized model of radiation reaction in
quantum vacuum. This leads us to an updated Fletcher-Millikan's charge to mass
ratio including radiation, de/dm, derived as the 4th order tensor measure. In
this paper, I will discuss the latest update of the model and the ability of
the equation of motion with radiation reaction in quantum vacuum via
photon-photon scatterings.
