N=1-Supersymmetric Description of a Spin-1/2 charged Particle in a   5d-World
  We study the dynamics of a charged spin-1/2 particle in an external 5-dimensional electromagnetic field. We then consider that we are at the $TeV$\ scale, so that we can access the fifth dimension and carry out our physical considerations in a 5-dimensional brane. In this brane, we focus our attention to the quantum-mechanical dynamics of a charged particle minimally coupled to the 5-dimensional electromagnetic field. We propose a way to identify the Abraham-Lorentz back reaction force as an effect of the extra (fifth) dimension. Also, a sort of dark matter behavior can be identified in a particular regime of the dynamics of the particle interacting with the bulk electric field. 
H. Belich, D. Cocuroci, G. S. Dias, J. A. Helay\"el-Neto, M. T. D.   Orlando
hep-th