Gravitating lepton bag model

Burinskii, Alexander

doi:10.1134/s1063776115080038

Cited by 16 publications

(38 citation statements)

References 53 publications

(159 reference statements)

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“…The second case, favored by the underlying idea of nonlinearity regularizing singularity, compatible with the existence of solutions for electromagnetic fields, and suggested by vanishing of magnetic induction on the surrounding Ssurface, is the extension of L → ∞ to the whole interior of the S-surface [26,27] leading to regular models with the de Sitter core, = − , similar to baglike models ( [44] and references therein). The condition ⊥ + = 0 and field equations are satisfied in the limit L → ∞, so that the de Sitter vacuum core has the properties of a perfect conductor and ideal diamagnetic and zero magnetic induction.…”

Section: Advances In Mathematical Physicsmentioning

confidence: 99%

Basic Generic Properties of Regular Rotating Black Holes and Solitons

Dymnikova

Galaktionov

2017

Advances in Mathematical Physics

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We present a systematic description of the basic generic properties of regular rotating black holes and solitons (compact nonsingular nondissipative objects without horizons related by self-interaction and replacing naked singularities). Rotating objects are described by axially symmetric solutions typically obtained by the Gürses-Gürsey algorithm, which is based on the Trautman-Newman techniques and includes the Newman-Janis complex transformation, from spherically symmetric solutions of the Kerr-Schild class specified by = ( = − ). Regular spherical solutions of this class satisfying the weak energy condition have obligatory de Sitter center. Rotation transforms de Sitter center into the equatorial de Sitter vacuum disk. Regular solutions have the Kerr or KerrNewman asymptotics for a distant observer, at most two horizons and two ergospheres, and two different kinds of interiors. For regular rotating solutions originated from spherical solutions satisfying the dominant energy condition, there can exist the interior S-surface of de Sitter vacuum which contains the de Sitter disk as a bridge. In the case when a related spherical solution violates the dominant energy condition, vacuum interior of a rotating object reduces to the de Sitter disk only.

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Section: Advances In Mathematical Physicsmentioning

confidence: 99%

Basic Generic Properties of Regular Rotating Black Holes and Solitons

Dymnikova

Galaktionov

2017

Advances in Mathematical Physics

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“…One such is given in [26] which is based on the classical Lorentz-Dirac equation embedded in complex space-time. Another model for zitterbwegung has been suggested by Burinskii, based on his gravitating bag model [17,16]. The bag structure gives internal structure to the particle, and it's no longer a simple point in complex space-time, but rather a closed loop string in space.…”

Section: The Near Field For An Isolated Particlementioning

confidence: 99%

“…I'm interested in possibly combining the results of [26], which gave a model for zitterbewegung within the Kerr-Newman framework, together with Bohmian trajectories. Alexander Burinskii has a different model for zitterbewegung which is based on a gravitating bag model involving additional field effects [17,16], and he has argued that this leads to an explanation for Dirac equation. The bag structure gives internal structure to the particle, and it's no longer a simple point in complex space-time.…”

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confidence: 99%

Bohmian Trajectories for Kerr–Newman Particles in Complex Space-Time

Davidson¹

2018

Found Phys

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Complexified Liénard-Wiechert potentials simplify the mathematics of Kerr-Newman particles. Here we constrain them by fiat to move along Bohmian trajectories to see if anything interesting occurs, as their equations of motion are not known. A covariant theory due to Stueckelberg is used. This paper deviates from the traditional Bohmian interpretation of quantum mechanics since the electromagnetic interactions of Kerr-Newman particles are dictated by general relativity. A Gaussian wave function is used to produce the Bohmian trajectories, which are found to be multi-valued. A generalized analytic continuation (GAN) is introduced which leads to an infinite number of trajectories. These include the entire set of Bohmian trajectories. This leads to multiple retarded times which come into play in complex space-time. If one weights these trajectories by their natural Bohmian weighting factors, then it is found that the particles do not radiate, that they are extended, and that they can have a finite electrostatic self energy, thus avoiding the usual divergence of the charged point particle. This effort does not in any way criticize or downplay the traditional Bohmian interpretation which does not assume the standard electromagnetic coupling to charged particles, but it suggests that a hybridization of Kerr-Newman particle theory with Bohmian mechanics might lead to interesting new physics, and maybe even the possibility of emergent quantum mechanics.Keywords Quantum Gravity · Kerr-Newman · Bohm · complex space-time · electron model · emergent quantum mechanics PACS 03.65.Ta · 03.65.Sq · 04.20.Jb · 41.60.-m IntroductionThis paper studies Kerr-Newman charged particles moving along free-particle Bohmian trajectories embedded in complex space-time. These are coupled directly to the electro-2 Mark Davidson magnetic fields in the standard way, and the resulting Liénard-Wiechert potentials are analyzed. This form of coupling is dictated by the theory of general relativity. In the Bohmian interpretation of quantum mechanics, no such coupling of Bohmian particles to classical electromagnetic fields is assumed. Therefore, in this paper, I am deviating from the Bohmian interpretation, but using the Bohmian trajectories nonetheless. The Bohmian interpretation is perfectly consistent, and I do not mean by this to detract from it in any way. Rather I'm trying to see if there is anything to be learned about Kerr-Newman particles in this way. It appears that there might be.Recently Maldacena and Susskind have proposed that quantum entanglement and the Einstein-Rosen bridge might be intimately related to one another [54,69]. They and others argue that gravity may be an emergent phenomenon, and that quantum entanglement is a crucial ingredient of this emergence [65,24,72]. Einstein thought that quantum theory might possibly be derivable from general relativity and electromagnetism. This is clear from some of the statements in the Einstein and Rosen paper [32], as well as many other writings of Einstein dealing with unified field theory ...

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“…Bubble-source formed by López boundary was generalized to soliton [9]), and then to a gravitating bag model [1,16]. Conception of the bag model assumes incorporation of the fermionic sector in which the Dirac equation acquires mass through Yukawa coupling with the Higgs field [11,12].…”

Section: Gravitating Bag Model and Supersymmetric Scheme Of Phase Tramentioning

confidence: 99%

“…Recently, this model was generalized to a gravitating bag model [1], for which one of the known features is a flexibility and ability to create stringlike structures 1…”

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confidence: 99%

Stability of the lepton bag model based on the Kerr–Newman solution

Burinskii

2015

J. Exp. Theor. Phys.

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We show that the considered in previous paper [1] lepton bag model, generating the external gravitational and electromagnetic fields of the Kerr-Newman (KN) solution is supersymmetric and represents a BPSsaturated soliton, interpolating between internal vacuum state and external KN solution. We obtain Bogomolnyi equations for this phase transition, and show that Bogomolnyi bound determines all important features of this bag model, including its stable shape. In particular, for stationary KN solution the BPS-bound provides stability of the ellipsoidal form of the bag and formation of the ring-string structure at its border, while for the periodic electromagnetic excitations of the KN solution, the BPS-bound controls deformation of the surface of the bag, reproducing the known flexibility of bag models. This paper is extension of the work [1], in which we considered the gravitating lepton bag model based on the Kerr-Newman (KN) black hole solution.It has been discussed long ago that black holes may be connected with elementary particles. However, the spin/mass ratio of elementary particles is extreme large, and the corresponding black hole loses the horizons, turning into an ultra-extreme (over-charged and over-rotating) KN solution with a naked singular ring, which forms a topological defect of space-time. As usual, emergence of singularity is a hint for generalization of the theory, and the Kerr singular ring created the problem of source of the KN solution. This problem proved to be very complicated, and this year we can mark the 50th anniversary of its discussions. Earlier attempts to build a source of the KN solution where discussed by Israel in [2], and Israel referred to the paper by Newman and Janis 1965 [3], wherein nontriviality of this problem was at first indicated. Carter obtained in [4] that the KN solution has gyromagnetic ratio g = 2, corresponding to that of the Dirac electron, and starting from this fact, Israel suggested in [2] a classical model of the electron based on a rotating disklike source of the KN solution, enclosed by the Kerr singular ring.The consistent regular model of the KN source was suggested by López, who built the KN source as a rotating vacuum bubble, covering the Kerr singular ring. In the same time, many properties of the KN source indicated its close relationships with string models [5,6,7,8], and resolution of this duality was coming from the disklike soliton model [9], in which the vacuum internal state of the López bubble-source was replaced by a superconducting false-vacuum formed by the Higgs mechanism of symmetry breaking. The ring-string emerged in this model as a narrow tube of the electromagnetic (EM) potential concentrated at the sharp border of the disklike source, similar to the well-known Nielsen-Olesen vortex string model in the Landau-Ginzburg theory [10].Recently, this model was generalized to a gravitating bag model [1], for which one of the known features is a flexibility and ability to create stringlike structures 1Principal peculiarity of the model consi...

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Gravitating lepton bag model

Cited by 16 publications

References 53 publications

Basic Generic Properties of Regular Rotating Black Holes and Solitons

Basic Generic Properties of Regular Rotating Black Holes and Solitons

Bohmian Trajectories for Kerr–Newman Particles in Complex Space-Time

Stability of the lepton bag model based on the Kerr–Newman solution

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