Talk detail

Participant	Burinskii, Alexander
Institution	NSI Russian Acad. Sci. - B.Tulskaya - Moscow - Moscow - Russia

Session	QG1	Accepted	Yes	Order	4	Time	15:00 - 15:20
Talk	Oral abstract	Title	Kerr-Schild way to quantum gravity
Co-authors
Abstract	Kerr-Schild (KS) way to quantum gravity is based on the twistor structure of the KS geometry, which is determined by the Kerr theorem. It results in the twistor-beam structure of the exact solutions obtained for elementary electromagnetic excitations of the KS geometry. The known gyromagnetic ratio of the Kerr-Newman (KN) solution, indicates that the KN geometry should be considered as a background for the consistent with gravity quantum theory of the electron. This statement is also supported by the stringy structures obtained in the real and complex KN geometry, [arXiv:1109.3872]. We consider relation of the real KS twistor structure with the initiated by Newman complex representation of the Kerr geometry, and show that the complex source of the KN solution represents a complex hyperbolic string with an orientifold world-sheet constructed by matching of the retarded and advanced folds of the complex light cones. The corresponding twistor structure forms a Calabi-Yau twofold on the projective twistor space, [arXiv: 1203.4210]. Interplay of the positive and negative sheets of the real KS geometry suggested a classical analogue of the particle/antiparticle correspondence.

Session	QG3	Accepted	No	Order		Time
Talk	Oral abstract	Title	Extended electron as a regularized Kerr-Newman solution: consistent with gravity chiral soliton model
Co-authors
Abstract	For parameters of an electron, the black-hole horizons of the Kerr-Newman (KN)solution disappear, and singularity should be covered by a matter source, for which we consider a chiral U(1)xU'(1) soliton model. The source forms a rotating oblate domain wall bubble filled by Higgs fields in a pseudovacuum state. The domain wall is generated by a superpotential which creates a smooth phase transfer from the inner pseudovacuum state to the external exact KN solution. The model has some important peculiarities. In particular, 1)the Higgs field is oscillating with frequency \omega=2m (oscillon), 2)there appears the vortex-like closed superconducting string, and 3)the KN vector potential forms a closed Wilson loop which provides quantization of the spin as a consequence of the broken symmetry, [arXiv: 1003.2928].

Session	ST2	Accepted	Yes	Order	8	Time	17:45 - 18:10
Talk	Oral abstract	Title	String-like structures in the real and complex Kerr geometry.
Co-authors
Abstract	Kerr geometry displays striking relations to quantum physics. The experimentally observable parameters of the electron suggest that its background should be a regularized Kerr-Newman geometry, forming a gravitating soliton bounded by a disk-like membrane covering the Kerr singular ring [arXiv: 1003.2928]. A sharp boundary of the membrane forms a closed string, structure of which is similar to the Sen fundamental heterotic string [Phys.Rev.D.52, 5826 (1995)]. Another (hyperbolic) string was obtained in the complex structure of the Kerr geometry [arXiv:1203.4210]. It has an orientifold world-sheet described by the Kerr theorem as a quartic in the projective twistor space, and therefore, it forms a Calabi-Yau twofold. A product of the closed Kerr string with the complex one forms the membrane source of the regularized KN solution. Characteristic size of this structure is much above the Planck length, ~ 10^-11 cm.