Complex Kerr geometry, twistors and the Dirac electron
Oct, 2007Citations per year
Abstract: (arXiv)
Kerr spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the relation between this spinor-twistorial structure and spinors of the Dirac equation and show that the Dirac equation may naturally be incorporated into Kerr-Schild formalism as a master equation controlling the twistorial structure of Kerr geometry. As a result, the Dirac electron acquires an extended space-time structure having clear coordinate description with a natural incorporation of gravitational field. The Dirac wave function plays the role of an ``order parameter'' which controls spin, dynamics, and twistorial polarization of space-time.Note:
- 8 pages, 3 figs. Talk at the conference QFEXT'07
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