Directional magnetic and electric vortex lines and their geometries in Minkowski space

In this study, we firstly introduce a different type of directional Fermi-Walker transportations along with vortex lines non-vanishing vector field in three-dimensional Minkowski space. Then consider some geometric quantities, which are used to characterize lines, order express angular velocity (Darboux vector) the system terms these quantities. Later present timelike magnetic by computing Lorentz force. Hence, reach remarkable relation between and nonrotating frame We also determine electric considering electromagnetic force equation. finally investigate conditions being uniform for fields improve such approach find curvature contains many geometrical features belonging line.