Mass, Spacetime Symmetry, de Sitter Vacuum, and the Higgs Mechanism

Dymnikova, Irina

doi:10.3390/sym12040634

Cited by 13 publications

(11 citation statements)

References 73 publications

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“…Regular spherical solutions of this class have an obligatory de Sitter center provided that WEC is satisfied [90]. The mass of objects m = 4π ∞ 0 ρ(r)r 2 dr is generically related with the interior de Sitter vacuum and breaking of spacetime symmetry from the de Sitter group [90,91]. In the NED-GR solutions, the mass function M(r) in ( 15) is determined by the electromagnetic field density, ρ(r) = T t t (r) in (13).…”

Section: Basic Equations and Spacetime Structurementioning

confidence: 99%

Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Dymnikova

2021

Particles

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We present a systematic review of the basic features that were adopted for different electron models and show, in a brief overview, that, for electromagnetic spinning solitons in nonlinear electrodynamics minimally coupled to gravity (NED-GR), all of these features follow directly from NED-GR dynamical equations as model-independent generic features. Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. By the Gürses-Gürsey formalism, which includes the Newman–Janis algorithm, they are transformed to axially symmetric solutions that describe regular spinning objects asymptotically Kerr–Newman for a distant observer, with the gyromagnetic ratio g=2. Their masses are determined by the electromagnetic density, related to the interior de Sitter vacuum and to the breaking of spacetime symmetry from the de Sitter group. De Sitter center transforms to the de Sitter vacuum disk, which has properties of a perfect conductor and ideal diamagnetic. The ring singularity of the Kerr–Newman geometry is replaced with the superconducting current, which serves as the non-dissipative source for exterior fields and source of the intrinsic magnetic momentum for any electrically charged spinning NED-GR object. Electromagnetic spinning soliton with the electron parameters can shed some light on appearance of a minimal length scale in the annihilation reaction e+e−→γγ(γ).

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Section: Basic Equations and Spacetime Structurementioning

confidence: 99%

Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Dymnikova

2021

Particles

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“…Is there a connection between these solitons and the tachyons in SSB theories? The connection between tachyons and SSB has been investigated in [4,9] while, in [10], string mass stability is addressed like the stability of mass in SSB. Moreover, the connection between tachyons and bosonic D-brane theory has been made.…”

Section: Introductionmentioning

confidence: 99%

Tachyons and Solitons in Spontaneous Symmetry Breaking in the Frame of Field Theory

et al. 2021

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This paper presents our study of the presence of the unstable critical point in spontaneous symmetry breaking (SSB) in the framework of Ginzburg–Landau (G-L) free energy. Through a 3D Ising spin lattice simulation, we found a zone of hysteresis where the unstable critical point continued to exist, despite the system having entered the broken symmetry phase. Within the hysteresis zone, the presence of the kink–antikink SSB solitons expands and, therefore, these can be observed. In scalar field theories, such as Higgs fields, the mass of this soliton inside the hysteresis zone could behave as a tachyon mass, namely as an imaginary quantity. Due to the fact that groups Ζ(2) and SU(2) belong to the same universality class, one expects that, in future experiments of ultra-relativistic nuclear collisions, in addition to the expected bosons condensations, structures of tachyon fields could appear.

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“…As a result, mass generation involves gravity produced by the de Sitter vacuum and the related de Sitter spacetime symmetry. The spontaneous symmetry breaking of scalar fields leads then to breaking of spacetime symmetry from the de Sitter group in the gravito-electroweak vertex to the Poincaré group in the region of a distant observer [1].…”

Section: Introductionmentioning

confidence: 99%

“…In the current literature, the relation between mass and the symmetry of spacetime has been considered in the context of the Lorentz symmetry breaking [2], and in the alternative Higgs-like mechanism for mass generation [3]. The relation of mass with gravity has been considered in the framework of the ratio gravity, in which the gravitational interaction is considered not as a universal interaction corresponding to a curved spacetime, but on an equal footing with other fields in the flat spacetime [4,5], and lepton and quark masses originate from the relevant SU2 algebras of gauge transformation [6] (for more details, see [1]).…”

Section: Introductionmentioning

confidence: 99%

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The Higgs Mechanism and Spacetime Symmetry

Dymnikova

2020

Universe

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In this review, we summarize the results of the analysis of the inherent relation between the Higgs mechanism and spacetime symmetry provided by generic incorporation of the de Sitter vacuum as a false vacuum with the equation of state p=−ρ. This relation has been verified by the application for the interpretation of the experimental results on the negative mass squares for neutrinos, and of the appearance of the minimal length in the annihilation reaction e+e−→γγ(γ). An additional verification is expected for the dark matter candidates with the interior de Sitter vacuum of the GUT scale, whose predicted observational signatures include the induced proton decay in the matter of an underground detector, such as IceCUBE.

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Mass, Spacetime Symmetry, de Sitter Vacuum, and the Higgs Mechanism

Cited by 13 publications

References 73 publications

Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Tachyons and Solitons in Spontaneous Symmetry Breaking in the Frame of Field Theory

The Higgs Mechanism and Spacetime Symmetry

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