177 research outputs found
Renormalization by gravity and the Kerr spinning particle
On the basis of the Kerr spinning particle, we show that the mass
renormalization is perfectly performed by gravity for an arbitrary distribution
of source matter. A smooth regularization of the Kerr-Newman solution is
considered, leading to a source in the form of a rotating bag filled by a false
vacuum. It is shown that gravity controls the phase transition to an AdS or dS
false vacuum state inside the bag, providing the mass balance.Comment: 9 pages, 2 figure
Regularized Kerr-Newman Solution as a Gravitating Soliton
The charged, spinning and gravitating soliton is realized as a regular
solution of the Kerr-Newman field coupled with a chiral Higgs model. A regular
core of the solution is formed by a domain wall bubble interpolating between
the external Kerr-Newman solution and a flat superconducting interior. An
internal electromagnetic (em) field is expelled to the boundary of the bubble
by the Higgs field. The solution reveals two new peculiarities: (i) the Higgs
field is oscillating, similar to the known oscillon models, (ii) the em field
forms on the edge of the bubble a Wilson loop, resulting in quantization of the
total angular momentum.Comment: Final published version, essential corrections, title changed, 8
pages, one fi
The Kerr theorem and multiparticle Kerr-Schild solutions
We discuss and prove an extended version of the Kerr theorem which allows one
to construct exact solutions of the Einstein-Maxwell field equations from a
holomorphic generating function of twistor variables. The exact
multiparticle Kerr-Schild solutions are obtained from generating function of
the form where are partial generating functions for
the spinning particles . Solutions have an unusual multi-sheeted
structure. Twistorial structures of the i-th and j-th particles do not feel
each other, forming a type of its internal space. Gravitational and
electromagnetic interaction of the particles occurs via the light-like singular
twistor lines. As a result, each particle turns out to be `dressed' by singular
pp-strings connecting it to other particles. We argue that this solution may
have a relation to quantum theory and to quantum gravity.Comment: 13 pages, 4 figures, revtex. Expressions for electromagnetic field
are correcte
Kerr geometry beyond the Quantum theory
The Dirac electron theory and QED do not take into account gravitational
field, while the corresponding Kerr-Newman solution with parameters of electron
has very strong stringy, topological and non-local action on the Compton
distances, polarizing space-time and deforming the Coulomb field. We discuss
the relation of the electron to the Kerr's microgeon model and argue that the
Kerr geometry may be hidden beyond the Quantum Theory. In particular, we show
that the Foldi-Wouthuysen `mean-position' operator of the Dirac electron is
related to a complex representation of the Kerr geometry, and to a complex
stringy source. Therefore, the complex Kerr geometry may be hidden beyond the
Dirac equation.Comment: 13 pages, 3 figures, based on the invited talk given at the workshop
`Beyond the Quantum',v. 2. added new results, title is change
Complex Kerr Geometry, Twistors and the Dirac Electron
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 Complex Kerr-Newman Source Kerr
Theorem 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.Comment: 12 pages, 3 figs. Talk at the conference QFEXT'0
Twistor-Beam Excitations of Black-Holes and Prequantum Kerr-Schild Geometry
Exact Kerr-Schild (KS) solutions for electromagnetic excitations of
black-holes, have the form of singular beams supported on twistor lines of the
KS geometry. These beams have a very strong back-reaction on the metric and
horizon and create a fluctuating KS geometry occupying an intermediate position
between the classical and quantum gravities. We consider the Kerr theorem,
which determines the twistor structure of the KS geometry and the corresponding
holographic prequantum space-time adapted to subsequent quantum treatment.Comment: 7 pages, 3 Figures. Published version. Talk at the SFT09 conference,
MIAN (Steklov Math. Institute), April 200
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