  This work completes a serie of two papers devoted to the extension of the
fundamental laws of electrodynamics in the context of Fock's nonlinear
relativity (FNLR). Indeed, after having established in the previous study the
exact generalizations of both Maxwell's equations and Dirac magnetic monopole,
we present here the remaining exact Lorentz force. As in k-Minkowski spacetime,
two different nature contributions appear in the corresponding equation of
motion where the new effect is interpreted as the gravitational-type Lorentz
force. This common point separately induced by the radius of the universe in
our case or Planck energy in other works, reinforces once more the analogy
between electromagnetism and gravity in two different scientific approaches. As
a relative difference, it is very important to highlight that more homogeneity
characterizes our results where each effect is exclusively generated by mass or
charge but not both at the same time. Even more, the new effect emerges as the
result of the triple effect of R-deformation, mass and the square of velocities
but completely independent of electromagnetic field.
