Source: http://rgs.vniims.ru/abs/abs-14-109.html
Timestamp: 2019-04-19 02:43:42+00:00

Document:
We discuss the relation between the Kerr-Newman spinning particle and the Dirac electron and show that the Dirac equation may be naturally incorporated into the Kerr-Schild formalism as a master equation controlling the Kerr-Newman geometry. As a result, the Dirac electron acquires an extended space-time structure of the Kerr-Newman geometry: a singular ring of Compton size and a twistorial polarization of the gravitational and electromagnetic fields. The behavior of this Dirac-Kerr-Newman system in weak and slowly changing electromagnetic fields is determined by the wave function of the Dirac equation and is indistinguishable from the behavior of the Dirac electron. The wave function of the Dirac equation plays, in this model, the role of an örder parameter" which controls the dynamics, spin polarization and the twistorial structure of space-time.
R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963).
E. T. Newman, E. Couch, Chinnapared, A. Exton, A. Prakash, and R. Torrence, J. Math. Phys. 6, 918 (1965).
B. Carter, Phys. Rev. 174, 1559 (1968).
W. Israel, Phys. Rev. D 2, 641 (1970).
G. C. Debney, R. P. Kerr, and A. Schild, J. Math. Phys. 10, 1842 (1969).
A. Ya. Burinskii, Sov. Phys. JETP 39, 193 (1974); Russ. Phys. J. 17, 1068 (1974).
D. Ivanenko and A. Ya. Burinskii, Russ. Phys. J. 18, 721 (1975).
A. Ya. Burinskii, Strings in the Kerr-Schild metrics, "Problems of Theory of Gravitation and Elementary Particles 11th issue, (Moscow, Atomizdat 1980), p. 47 (in Russian).
D. Ivanenko and A. Ya. Burinskii, Russ. Phys. J. 21, 932 (1978).
C. A. Lopez, Phys. Rev. D 30, 313 (1984).
R. B. Mann and M. S. Morris, Phys. Lett. A 181, 443 (1993).
A. Ya. Burinskii, Phys. Lett. A 185, 441 (1994); Stringlike Structures in Complex Kerr Geometry, in: Relativity Today, ed. by R. P. Kerr and Z. Perjes (Akademiai Kiado, Budapest, 1994), p. 149.
A. Burinskii, Phys. Rev. D 68, 105004 (2003).
A. Burinskii, Phys. Rev. D 70, 086006 (2004).
A. Burinskii, Czech. J. Phys. 55, A261 (2005); hep-th/0412195, hep-th/0412065.
H. I. Arcos and J. G. Pereira, Gen. Rel. Grav. 36 2441 (2004).
N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge Univ. Press, 1982).
B. S. DeWitt, Phys. Rep. C 19, 295 (1975).
A. Burinskii, Int. J. Geom. Meth. Mod. Phys. 4, No. 3, 437 (2007); Grav. & Cosmol. 11 301 (2005); hep-th/0506006.
J. Wess and J. Bagger, Supersymmetry and Supergravity (Princeton, New Jersey, 1983).
A. Burinskii, Phys. Rev. D 67 124024 (2003); Class. Quant. Grav. 20 905 (2003).
R. Penrose, J. Math. Phys. 8 345 (1967).
D. Kramer, H. Stephani, E. Herlt, and M. MacCallum, Exact Solutions of Einstein's Field Equations (Cambridge Univ. Press, 1980).
E. T. Newman, J. Math. Phys. 14, 102 (1973); R. W. Lind and E. T. Newman, J. Math. Phys. 15, 1103 (1974).
A. Burinskii and R. P. Kerr, Nonstationary Kerr Congruences, gr-qc/9501012.
A. Burinskii and G. Magli, Phys. Rev. D 61, 044017 (2000).
V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Course Of Theoretical Physics, 4) (OPergamon, Oxford, UK, 1982).
R. P. Feynman, The Theory of Fundamental Processes (W.A. Benjamin, Inc., New York, 1961).
R. P. Kerr and W. B. Willson, Gen. Rel. Grav. 10 273 (1979).
A. Burinskii, Grav. & Cosmol. 8 261 (2002).
A. Burinskii, J. Phys. A: Math. Gen. 39, 6209 (2006).
A. Burinskii, E. Elizalde, S. R. Hildebrandt and G. Magli, Phys. Rev. D 65, 064039 (2002); gr-qc/0109085.
R. Tolman, Relativity, Thermodynamics and Cosmology (Clavendon Press, Oxford, 1969).
M. Gurses and F. Gursey, J. Math. Phys. 16, 2385 (1975).
V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Lett. 216B, 272 (1989); Phys. Rev. D 41 383 (1990).
A. Burinskii, E. Elisalde, S. Hildebrandt and G. Magli, Aligned electromagnetic excitations of a black hole and their impact on its quantum horizon, ArXiv: 0705.3551 [hep-th].
E. Witten, Comm. Math. Phys. 252, 189 (2004); hep-th/0312171.
V. P. Nair, Phys. Lett. 214B, 215 (1988).
A. Burinskii, Grav. & Cosmol. 10, No. 1-2 (37-38), 50 (2004); hep-th/0403212.
J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields, v. 1 (McGraw-Hill Book Company, 1964).
A. I. Akhiezer and V. B. Berestetsky, Quantum Electrodynamics (Nauka, Moscow, 1981) (in Russian).
A. Burinskii, Class. Quant. Grav. 16 3497 (1999).

References: V. 

V. 
 V. 

V. 
 v. 
 V.