Abstract:
The idea that the quantum space-time of microphysics may be fractal everywhere was intensively
investigated recently, and several authors have presented the geodesic equations of different fractal
space - times. In the present work we obtain the geodesic and the geodesic deviation equations
in fractal space-times by using the Bazanski method. We also extend this approach to obtain the
equations of motion for spinning and spinning charged particles in the above-mentioned spaces, in
a similar way to their counterparts in Riemannian geometry.