Alexander Burinskii

The Dirac-Kerr-Newman electron

We discuss the relation between the Kerr-Newman spinning particle and the Dirac electron and show that the Dirac equation may be naturally incorporated into the Kerr-Schild formalism as a master equation controlling the Kerr-Newman geometry. As a result, the Dirac electron acquires an extended space-time structure of the Kerr-Newman geometry: a singular ring of Compton size and a twistorial polarization of the gravitational and electromagnetic fields. The behavior of this Dirac-Kerr-Newman system in weak and slowly changing electromagnetic fields is determined by the wave function of the Dirac equation and is indistinguishable from the behavior of the Dirac electron. The wave function of the Dirac equation plays, in this model, the role of an “order parameter” which controls the dynamics, spin polarization and the twistorial structure of space-time.

SOME PROPERTIES OF THE KERR SOLUTION TO LOW ENERGY STRING THEORY

Gravity Research Group, Nuclear Safety InstituteRussian Academy of Sciences, B.Tulskaya 52, 113191 Moscow, RussiaAbstractThe Kerr solution to axidilaton gravity is analyzed in theDebney–Kerr–Schild formalism. It is shown that the Kerr princi-pal null congruence retains its property to be geodesic and shearfree, however, the axidilatonic Kerr solution is not algebraicallyspecial. A limiting form of this solution is considered near thering-like Kerr singularity. This limiting solution coincides withthe field of fundamental heterotic string obtained by Sen [2, 3].

Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions

A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and allows us to give a common treatment for (charged and uncharged) rotating and nonrotating black holes. It is shown that the requirement of smoothness of the source constraints the structure of the core region in many respects: in particular, for Schwarzschild holes a de Sitter core can be selected, which is surrounded by a smooth shell giving a leading contribution to the total mass of the source. In the rotating, noncharged case the source has a similar structure, taking the form of a (anisotropic and rotating) de Sitter-like core surrounded by a rotating elliptic shell. The Kerr singular ring is regularized by anisotropic matter rotating in the equatorial plane, so that the negative sheet of the Kerr geometry is absent. In the charged case the sources take the form of “bags”, which can have de Sitter or anti de Sitter interiors and a smooth domain wall boundary, with a tangential stress providing charge confinement. The ADM and Tolman relations are used to calculate the total mass of the sources.

Regularized Kerr-Newman solution as a gravitating soliton

The charged, spinning and gravitating soliton is realized as a regular solution of the Kerr-Newman field coupled with a chiral Higgs model. A regular core of the solution is formed by a domain wall bubble interpolating between the external Kerr-Newman solution and a flat superconducting interior. An internal electromagnetic (em) field is expelled to the boundary of the bubble by the Higgs field. The solution reveals two new peculiarities: (i) the Higgs field is oscillating, similar to the known oscillon models, (ii) the em field forms on the edge of the bubble a Wilson loop, resulting in quantization of the total angular momentum.

Twistorial Analyticity and Three Stringy Systems of the Kerr Spinning Particle

The Kerr spinning particle has a remarkable analytical twistorial structure. Analyzing electromagnetic excitations of the Kerr circular string which are aligned to this structure, we obtain a simple stringy skeleton of the spinning particle which is formed by a topological coupling of the Kerr circular singular string and by an axial singular stringy system. We show that the chiral traveling waves, related to an orientifold world sheet of the axial stringy system, are described by the massive Dirac equation, so we argue that the axial string may play the part of a stringy carrier of wave function and play also a dominant role in the scattering processes. A key role of the third, complex Kerr string is discussed. We conjecture that it may be one more alternative to the Witten twistor string, and a relation to the spinor helicity formalism is also discussed.

Orientifold D-string in the source of the Kerr spinning particle

The model of a spinning particle, based on the Kerr-Newman solution with

Kerr spinning particle, strings and superparticle models

|a|\ensuremath{\gg}m,

Instability of Black Hole Horizon With Respect to Electromagnetic Excitations

is discussed. It is shown that the Kerr singular ring can be considered as a string with an orientifold world sheet. The orientifold adds a peculiar extra point to the Kerr ring: the fixed point of the world-sheet parity operator

Emergence of the Dirac equation in the solitonic source of the Kerr spinning particle

\ensuremath{\Omega}.

Gravity versus quantum theory: Is electron really pointlike?

It is shown that the Kerr string represents a new type of folded string solution taking the form of an open D-string with joined ends which are in circular lightlike motion along the Kerr ring.