Stringlike structures in the real and complex KerrSchild geometry
Abstract
Fourdimensional KerrSchild (KS) geometry displays remarkable relationships with quantum world and theory of superstrings. In particular, the KerrNewman (KN) solution has gyromagnetic ratio g = 2, as that of the Dirac electron and represents a consistent background for gravitational and electromagnetic field of the electron. As a consequence of very big spin/mass ratio, black hole horizons disappear, exposing the naked Kerr singular ring. We consider fourdecade history of development of this structure which took finally the form of a pointstringmembranebubble complex which is reminiscent of the enhancon model of string/Mtheory. A complex string obtained in the complex structure of the Kerr geometry gives an extra dimension to the worldsheet of the real Kerr string, forming a membrane by analogue with the string/Mtheory unification. By analysis of the orientifold parity of the complex Kerr string, we obtain that the determined by the Kerr theorem principal null congruence of the Kerr geometry is described by a quartic equation in projective twistor space CP^{3}, and therefore, it creates the known Calabi Yau twofold (K3 surface) in twistor space of the 4d KS geometry. We connect it with N=2 superstring which has (complex) critical dimension two and may be embedded into complex KS geometry.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 September 2014
 DOI:
 10.1088/17426596/532/1/012004
 arXiv:
 arXiv:1410.2462
 Bibcode:
 2014JPhCS.532a2004B
 Keywords:

 Physics  General Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 14 p. Proceedings of the Conference 3Quantum: Algebra Geometry Information (QQQ Conference 2012)