Geometrical meaning of Lorentz equation?

[eljose79]

Could we give a geometrical meaning of the Lorentz equation

mx´´=e(vxB)+eE...similar to that of gravitation..by considering that


e(vxB)+eE comes from a potential..and the electrons are moving in geodesics?..

 

[pmb]

Originally posted by eljose79
Could we give a geometrical meaning of the Lorentz equation

mx´´=e(vxB)+eE...similar to that of gravitation..by considering that


e(vxB)+eE comes from a potential..and the electrons are moving in geodesics?..

If the electron is moving in an EM field then it's not moving on a geodesic unless the force on the electron is zero. There are circumstances such that the electron is moving in an EM field and force free but not in general.

Pmb