Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-23
J.Phys.A41:164069,2008
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 3 figs. Talk at the conference QFEXT'07
Scientific paper
10.1088/1751-8113/41/16/164069
The Kerr-Newman 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 natural incorporation of a gravitational field. The relation between the Dirac wave function and Kerr geometry is realized via a chain of links: {\it Dirac wave function $ \Rightarrow $ Complex Kerr-Newman Source $ \Rightarrow $ Kerr Theorem $ \Rightarrow $ Real Kerr geometry.} As a result, the wave function acquires the role of an ``order parameter'' which controls spin, dynamics, and twistorial polarization of Kerr-Newman space-time.
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