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

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 634 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Higgs Mechanism ◽  
Minimal Length ◽  
Length Scale ◽  
False Vacuum ◽  
De Sitter ◽  
Negative Mass ◽  
Spacetime Symmetry ◽  
Generic Relation ◽  
Minimal Length Scale ◽  
De Sitter Vacuum

We address the question of the intrinsic relation between mass, gravity, spacetime symmetry, and the Higgs mechanism implied by involvement of the de Sitter vacuum as its basic ingredient (a false vacuum). Incorporating the de Sitter vacuum, the Higgs mechanism implicitly incorporates the generic relation between mass, gravity, and spacetime symmetry revealed in the frame of General Relativity for all objects involving the de Sitter vacuum. We overview two observational cases which display and verify this relation, the case known as “negative mass square problem” for neutrino, and appearance of a minimal length scale in e + e − annihilation.

scholarly journals The Higgs Mechanism and Spacetime Symmetry

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 179
Author(s):  
Irina Dymnikova
Keyword(s):  
Higgs Mechanism ◽  
Minimal Length ◽  
False Vacuum ◽  
De Sitter ◽  
Negative Mass ◽  
Spacetime Symmetry ◽  
Underground Detector ◽  
Gut Scale ◽  
De Sitter Vacuum ◽  
Annihilation Reaction

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.

scholarly journals LAGRANGIAN FORMULATION OF A MAGNETOSTATIC FIELD IN THE PRESENCE OF A MINIMAL LENGTH SCALE BASED ON THE KEMPF ALGEBRA

2013 ◽  
Vol 28 (30) ◽  
pp. 1350142 ◽  
Author(s):  
S. K. MOAYEDI ◽  
M. R. SETARE ◽  
B. KHOSROPOUR
Keyword(s):  
Integral Form ◽  
Heisenberg Algebra ◽  
Minimal Length ◽  
Lagrangian Formulation ◽  
Length Scale ◽  
Magnetostatic Field ◽  
Classical Level ◽  
Spatial Dimensions ◽  
Minimal Length Scale ◽  
The Relationship

In the 1990s, Kempf and his collaborators Mangano and Mann introduced a D-dimensional (β, β′)-two-parameter deformed Heisenberg algebra which leads to an isotropic minimal length [Formula: see text]. In this work, the Lagrangian formulation of a magnetostatic field in three spatial dimensions (D = 3) described by Kempf algebra is presented in the special case of β′ = 2β up to the first-order over β. We show that at the classical level there is a similarity between magnetostatics in the presence of a minimal length scale (modified magnetostatics) and the magnetostatic sector of the Abelian Lee–Wick model in three spatial dimensions. The integral form of Ampere's law and the energy density of a magnetostatic field in the modified magnetostatics are obtained. Also, the Biot–Savart law in the modified magnetostatics is found. By studying the effect of minimal length corrections to the gyromagnetic moment of the muon, we conclude that the upper bound on the isotropic minimal length scale in three spatial dimensions is 4.42×10-19m. The relationship between magnetostatics with a minimal length and the Gaete–Spallucci nonlocal magnetostatics [J. Phys. A: Math. Theor. 45, 065401 (2012)] is investigated.

scholarly journals Probing the minimal length scale by precision tests of the muon g−2

2004 ◽  
Vol 584 (1-2) ◽  
pp. 109-113 ◽  
Author(s):  
U. Harbach ◽  
S. Hossenfelder ◽  
M. Bleicher ◽  
H. Stöcker
Keyword(s):  
Minimal Length ◽  
Length Scale ◽  
Minimal Length Scale

scholarly journals Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Particles ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 129-145
Author(s):  
Irina Dymnikova
Keyword(s):  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
Axially Symmetric ◽  
De Sitter ◽  
Dynamical Equations ◽  
Sitter Group ◽  
Minimal Length Scale ◽  
Basic Features ◽  
De Sitter Vacuum ◽  
Electrically Charged

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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