  Assuming the radiation emitted by an accelerating charge follows the Unruh
radiation, we obtained the characteristics of the de Broglie wave associated
with the accelerating charge. The de Broglie wavelength of the accelerating
charged particle is found to be inversely proportional to the temperature of
the emitted radiation. Merging the Abraham-Lorentz and Unruh formulae shows
that the particle de Broglie wavelength is found to vary inversely with its
acceleration. It is found to have the same structure as that of the Wien's
displacement law relating the maximum wavelength of the Black Body radiation to
its temperature. A maximum acceleration that a charged particle can attain is
derived that sets a limit to the the maximum electric field. The
Abraham-Lorentz force for a black hole radiation is found to be proportional to
its evaporation rate. The final mass of the black hole left-over is found to be
$\sqrt{\frac{\alpha\hbar c}{24 \pi G} }$, where $G$ is the gravitational
constant, $c$ the speed of light, $h=2\pi\hbar$ is the Planck constant, and
$\alpha$ is the fine structure constant. The minimum entropy and spin of the
black hole emitting Hawking radiation are, respectively, found to be
$(\alpha/6) k_B$ and $(\alpha/6)\hbar$. The presently observed universal
acceleration is a manifestation of the Unruh black body temperature of
$10^{-29}K$. This agrees with the black body radiation temperature ($T$)
relating $TR=const.$ prevailing since the time of the big bang, where $R$ is
the universe radius.
