New Aspects of the Problem of the Source of Kerr Spinning Particle

We consider development of the models of the source of the Kerr-Newman (KN) solution and new aspects related with the obtained recently field model based on a domain wall bubble with superconducting interior, arXiv:1003.2928[hep-th]. The internal Higgs field regularizes the KN solution, expelling electromagnetic field from interior to the boundary of bubble. The KN source forms a gravitating soliton, interior of which is similar to oscillating solitons (Q-balls, oscillons), while exterior is consistent with the KN solution. We obtain that a closed Wilson loop appears on the edge of the bubble, resulting in quantization of angular momentum of the regularized solutions. A new holographic interpretation of the mysterious twosheetedness of the Kerr geometry is given. The KN gravitating soliton with parameters of electron is discussed.