Gravitating bag as a coherent system of the point-like and dressed electron

Gravitational and electromagnetic fields of an electron correspond to over-rotating Kerr-Newman (KN) solution, which has a naked singular ring and two-sheeted topology. This solution is regularized by a solitonic source, in which singular interior is replaced by a vacuum bubble filled by the Higgs field in a false-vacuum state. Field model of this KN bubble has much in common with the famous MIT and SLAC bag models, but the geometry is "dual" (turned inside out), leading to consistency of the KN bag model with gravity. Similar to other bag models, the KN bag is compliant to deformations, and under rotations it takes an oblate ellipsoidal form, creating a circular string along the border. Electromagnetic excitations of the KN bag generate stringy traveling waves which deform the bag, creating a traveling singular pole, included in a general bag-string-quark complex. The dressed electron may be considered in this model as a coherent excitation of this system, confining the point-like electron (as a quark) in state of zitterbewegung.

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