  As is known, the gravitational and electromagnetic (EM) field of the Dirac
electron is described by an over-extremal 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 regular source based on the Higgs mechanism
of broken symmetry. This source 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 KN bag
model is flexible. At rotations, it takes the shape of a thin disk, and similar
to other bag models, under deformations it creates a string-like structure
which is positioned along the sharp border of the disk.
