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Standard model has to be generalized to a “New Physics” beyond the Standard Model. Main problem is the lack of consistency SM with gravity. We analyse Kerr-Newman spinning particle which is consistent with gravity by nature and, contrary to opinion that gravity conflicts with quantum theory, we obtain that spinning Kerr’s gravity collaborates with quantum theory in the process of formation of spinning particle. The most dramatic is the shift of the fundamental scale from Planck to Compton distances.

Gravitational and electromagnetic (EM) field of the Dirac electron is described by an ultra-extreme Kerr-Newman (KN) black hole (BH) solution which has the naked singular ring and two-sheeted topology. This space is regulated by the formation of a solitonic source which shares much in common with the known MIT- and SLAC-bag models, but has the important advantage, of being in accordance with gravitational and electromagnetic field of the external KN solution. The used field model is supersymmetric LG model based on three chiral fields forming a domain wall bubble interpolating between the external exact KN solution and a flat supersymmetric core, which regulates singular zone of the Kerr-Newman solution. We reduce Hamiltonian to a Bogomolnyi form and obtain the regular BPS-saturated solution as an oscillon with quantized angular momentum. The main features of the soliton indicate its similarity to the bag models.

It is known that ultra-extreme Kerr-Newman (KN) solution (a >> m) produces the gravitational and EM fields of the electron and has a topological defect which may be regularized by a solitonic source, formed as a false-vacuum bubble filled by Higgs condensate in a supersymmetric superconducting state. Structure and stability of this source is determined by Bogomolnyi equations as a BPS-saturated soliton of the oscillon type. The Principal Null Congruences of the KN solution determine consistent embedding of the Dirac equation, which acquires the mass from the Higgs condensate inside the soliton, indicating that this soliton forms a bag model. Shape of this bag is unambiguously determined by BPS-bound. The bag turns out to be flexible and takes the form of a very thin disk, which is completed by a ring-string along its sharp boundary. The ring-string traveling waves generate extra deformations of the bag creating a circulating singular pole. Bag model of the KN source integrates the dressed and pointlike electron in a bag-string-quark system, which removes the conflict between the point-like electron of the Dirac theory and the required gravitational soliton model.