Complex Kerr Geometry, Twistors and the Dirac Electron

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dc.creatorBurinskii, Alexander
dc.date2007-10-23
dc.date2008-03-11
dc.date.accessioned2026-07-07T11:12:31Z
dc.date.available2026-07-07T11:12:31Z
dc.descriptionThe 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.
dc.description12 pages, 3 figs. Talk at the conference QFEXT'07
dc.identifierhttps://arxiv.org/abs/0710.4249
dc.identifierhttp://arxiv.org/abs/0710.4249
dc.identifierJ.Phys.A41:164069,2008
dc.identifierdoi:10.1088/1751-8113/41/16/164069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191408
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleComplex Kerr Geometry, Twistors and the Dirac Electron
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