Stringlike structures in the real and complex Kerr-Schild geometry

Abstract

Four-dimensional Kerr-Schild (KS) geometry displays remarkable relationships with quantum world and theory of superstrings. In particular, the Kerr-Newman (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 four-decade history of development of this structure which took finally the form of a point-string-membrane-bubble complex which is reminiscent of the enhancon model of string/M-theory. A complex string obtained in the complex structure of the Kerr geometry gives an extra dimension to the world-sheet of the real Kerr string, forming a membrane by analogue with the string/M-theory 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 CP3, 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.

14 p. Proceedings of the Conference 3Quantum: Algebra Geometry Information (QQQ Conference 2012)

References in corpus (20)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Rotating Charged Black Hole Solution in Heterotic String Theory
• The Dirac -- Kerr-Newman electron
• Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions
• SOME PROPERTIES OF THE KERR SOLUTION TO LOW ENERGY STRING THEORY
• Kleinian Geometry and the N=2 Superstring
• Macroscopic Charged Heterotic String
• Complex Kerr Geometry and Nonstationary Kerr Solutions
• Orientifold D-String in the Source of the Kerr Spinning Particle
• Regularized Kerr-Newman Solution as a Gravitating Soliton
• Gravitational strings beyond quantum theory: Electron as a closed heterotic string
• Stringlike structures in Kerr-Schild geometry: N=2 string, twistors and Calabi-Yau twofold
• Gravity vs. Quantum theory: Is electron really pointlike?
• Light cones in relativity: Real, complex and virtual, with applications
• The Kerr theorem and multiparticle Kerr-Schild solutions
• Instability of Black Hole Horizon With Respect to Electromagnetic Excitations
• Oblate, Toroidal, and Other Shapes for the Enhancon
• Complex Structure of the Four-Dimensional Kerr Geometry: Stringy System, Kerr Theorem, and Calabi-Yau Twofold
• Fluctuating Twistor-Beam Solutions and Holographic Pre-Quantum Kerr-Schild Geometry
• Kerr geometry beyond the Quantum theory

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