Nonlinear Electromagnetic Field Research Articles

Numerical solution of nonlinear electromagnetic field problem of superconducting tape using convex optimization

Numerical solution of nonlinear electromagnetic field problem of superconducting tape using convex optimization

Could prayer’s info-energy restore the distorted informational field in the extracellular space of cancerous tissue?

This article explains for the first time how stress (negative emotions or just negative thinking) causes cancer or chronic disease of the genetically inherited weak organ. For the first time, it is explained why for some individuals stress leads to chronic disease of the genetically inherited weak organ, while for other individuals it leads to cancer of the genetically inherited weak organ. It is believed to be with genetic predisposition, but for the first time this article explains what this means. 1/ Stress causes chronic disease of genetically inherited weak organ when the integrating energy within the cell is weak. This makes the cellular biorhythms of the genetically-inherited weak organ weakly integrated and easily disintegrated by stress, which by causing delays disorders the biorhythms, and results in chronic disease. 2/ Stress causes cancer of the genetically inherited weak organ, when the integrating energy between the cells is weak. When the weak extracellular energy is farther weakened by stress, at critically low energy stacked-coin formations appear between the cells, which disconnect the cells. The disconnected cells start to multiply fast as they would do in the case of cut wound, to heal the wound fast. However, in the case of wound the cells are ruled where to go by the current of regrowth. In the case of cancer, they multiply senselessly, which is called malignancy. Since both energies - within the cells and in the extracellular space - are informational nonlinear electromagnetic fields (NEMFs) and prayer is information, prayer should be able to influence the cellular organization in the case of chronic diseases, and the extracellular formations in the case of cancer.

Emergence of negative mass in general relativity

We investigate a symmetric traversable wormhole model, integrating Einstein’s gravitational coupling phantom field and a nonlinear electromagnetic field. This work indicates the emergence of negative ADM mass within a specific parameter range, coinciding with distinct alterations in the wormhole’s spacetime properties. Despite violating the Null Energy Condition (NEC) and other energy conditions, the solution exhibits unique characteristics in certain energy-momentum tensor components, potentially accounting for the manifestation of negative mass.

Probing the Bardeen–Kiselev black hole with the cosmological constant caused by Einstein equations coupled with nonlinear electrodynamics using quasinormal modes and greybody bounds

In this work, we investigate a static and spherically symmetric Bardeen–Kiselev black hole (BH) with the cosmological constant, which is a solution of the Einstein-non-linear Maxwell field equations. We compute the quasinormal frequencies for the Bardeen–Kiselev BH with the cosmological constant due to electromagnetic and gravitational perturbations. By varying the BH parameters, we discuss the behavior of both real and imaginary parts of the BH quasinormal frequencies and compare these frequencies with the Reissner–Nordström–de Sitter BH surrounded by quintessence (RN-dSQ). Interestingly, it is shown that the responses of the Bardeen–Kiselev BH with the cosmological constant and the RN-dSQ under electromagnetic perturbations are different when the charge parameter q, the state parameter w and the normalization factor c are varied; however, for the gravitational perturbations, the responses of the Bardeen–Kiselev BH with the cosmological constant and the RN-dSQ are different only when the charge parameter q is varied. Therefore, compared with the gravitational perturbations, the electromagnetic perturbations can be used to understand nonlinear and linear electromagnetic fields in curved spacetime separately. Another interesting observation is that, due to the presence of Kiselev quintessence, the electromagnetic perturbations around the Bardeen–Kiselev BH with the cosmological constant damps faster and oscillates slowly; for the gravitational perturbations, the quasinormal mode decays slowly and oscillates slowly. We also study the reflection and transmission coefficients along with the absorption cross section in the Bardeen–Kiselev BH with the cosmological constant; it is shown that the transmission coefficients will increase due to the presence of Kiselev quintessence.

Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum

In this paper, we pursue the investigation of a generic non-linear extension of axionic electrodynamics in a Carroll-Field-Jackiw (CFJ) scenario that implements Lorentz-symmetry violation (LSV). The model we inspect consists of an arbitrary non-linear electrodynamic action coupled to the axion field in presence of an anisotropy four-vector that realizes the breaking of Lorentz symmetry under the particle point of view. For the sake of our considerations, the non-linear electromagnetic field is expanded around a constant and uniform magnetic background up to second order in the propagating photon field. The focus of our attention is the study of the material properties of the vacuum in the particular case of a space-like CFJ 4-vector. The dispersion relations associated to the plane wave solutions are explicitly worked out in two situations: the magnetic background perpendicular and parallel to the wave direction. We extend these results to consider the analysis of the birefringence phenomenon in presence of non-linearity, the axion and the LSV manifested through the spatial anisotropy. Three specific proposals of non-linear electrodynamics are contemplated: Euler-Heisenberg (EH), Born-Infeld (BI) and the Modified Maxwell electrodynamics (ModMax). Throughout the paper, we shall justify why we follow the unusual path of connecting, in a single Lagrangian density, three pieces of physics beyond the Standard Model, namely, non-linearity, axions and LSV. We anticipate that we shall not be claiming that the simultaneous introduction of these three topics beyond the Standard Model will bring new insights or clues for the efforts to detect axions or to constrain parameters associate to both non-linear electrodynamics and LSV physics. Our true goal is to actually inspect and describe how axionic, non-linear and LSV effects interfere with one another whenever physical entities like group velocity, refraction indices, birefringence and effective masses of physical excitations are computed in presence of an external constant and homogeneous magnetic field.

Attachment of Salmonella Typhimurium to Fish Surfaces from a Suspension in Seawater and the Effect of Subsequent Washing

The article is about cooling (with cold water) of the lower abdomen (which is most sensitive to cold) for: relief of abdominal pain, boosting the immune system, handling hot flashes during menopause and better sleep. The article also explains how it works – it is done through the biofield seen as aura, which rules and regulates everything in the body. I found it to be Nonlinear Electromagnetic Field (NEMF), which being nonlinear is not dissipating and can imprint information. The waves of the biofield (aura) scan the new environment and bring the information to the material body telling it how to change to adapt to the new environment. If the environment is drastically new, it handles the evolution to new species. In the process of adaptation, first the biofield (aura) NEMF is changed and if the drastically new environment stays the same for a long time, it evolves into DNA changes and evolution to new species. A proof that the evolution to new species is done through the biofield is the fact that the evolution to new species is done through a quantum jump – there are no intermediate forms.

Electromagnetic Fields (Including Microwaves) Can Lower the Immune Response and Even Change The DNA

This article was written to draw attention to the experimentally found facts that external electromagnetic fields (like microwaves) can not only lower the immune response; it can even change the type of species. This is possible because beside the material body, we have biofield - weak electromagnetic field seen as aura. My lifelong studies of the biofield (aura) found that it is weak Nonlinear Electromagnetic Field (NEMF), which we can expect to be sensitive to external electromagnetic fields with wide range of frequencies, including microwaves. The Chinese scientist Dr. Kanchen found experimentally in 1961 in China that microwaves with frequency 11 GHz change the type of species. This article is a serious warning that the new microwave technologies (used in our fast internet, cellular phones and TV) when shifting to higher and higher frequencies for faster and faster internet will reach the frequency 11 GHz, which will change our DNA, turning us to a different type of species. Unfortunately, in the US we developed these technologies without studding their effect on humans. For that reason, in the US we don’t have any regulations about what should be the maximally allowed safe intensity and frequency of the fields used in these technologies (we have regulations only for ionization radiation). We need to correct this as soon as possible.

Motor magnetic field analysis using the edge-based smooth finite element method (ES-FEM)

This paper proposes a smooth finite element method (S-FEM) for efficient and accurate analysis of motor magnetic fields. The edge-based smooth finite element (ES-FEM) formulations are derived for two-dimensional triangular element meshes suitable for multi-material motor structures, and then a magnetic flux density calculation method appropriate for S-FEM to calculate nonlinear electromagnetic fields is introduced. In the calculation of motor magnetic field, ES-FEM has a proper softening effect on the stiffness matrix of the finite elements, which makes the calculation more accurate and more efficient than FEM. The magnetic flux intensity calculation method introduced in this paper is not only appropriate for ES-FEM to calculate the nonlinear electromagnetic field of motor, but also can improve the calculation accuracy of magnetic flux density. In the calculation of nonlinear magnetic field of motor, ES-FEM can also improve the calculation accuracy of magnetic field analysis compared with FEM. Several numerical examples demonstrate the improving effect of the ES-FEM discussed above on the motor's magnetic field calculation.

Cooling the Lower Abdomen for Pain Relief, Boosting the Immune System, Stopping the Hot Fleshes During Menopause and Better Sleep

The article is about cooling (with cold water) of the lower abdomen (which is most sensitive to cold) for: relief of abdominal pain, boosting the immune system, handling hot flashes during menopause and better sleep. The article also explains how it works – it is done through the biofield seen as aura, which rules and regulates everything in the body. I found it to be Nonlinear Electromagnetic Field (NEMF), which being nonlinear is not dissipating and can imprint information. The waves of the biofield (aura) scan the new environment and bring the information to the material body telling it how to change to adapt to the new environment. If the environment is drastically new, it handles the evolution to new species. In the process of adaptation, first the biofield (aura) NEMF is changed and if the drastically new environment stays the same for a long time, it evolves into DNA changes and evolution to new species. A proof that the evolution to new species is done through the biofield is the fact that the evolution to new species is done through a quantum jump – there are no intermediate forms.

Recovery of consistency in thermodynamics of regular black holes in Einstein's gravity coupled with nonlinear electrodynamics

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear electromagnetic fields, we need to reconsider the first law of thermodynamics, which will lead to a new thermodynamic phase space. In such a phase space, the equation of state accurately describes the complete phase transition process of regular black holes. The Maxwell equal area law strictly holds when the phase transition occurs, and the entropy obeys the Bekenstein-Hawking area formula, which is compatible with the situation in Einstein's gravity.

Tunneling of rotational black string with nonlinear electromagnetic fields

In the background of anti-de Sitter spaces, a novel solution of a rotating black string (RBS) attributed to a nonlinear electromagnetic field has been derived. The authors have deciphered two metric functions which are called RBS1 and RBS2. The two real roots, the two metrics (RBS1 and RBS2), have been found based on Newton–Raphson method. Furthermore, the Hawking radiation of scalar particles has been studied by employing the Hamilton–Jacobi (HJ) method to calculate the Hawking temperature of RBS1 and RBS2.

Quasinormal modes and isospectrality of Bardeen (Anti-) de Sitter black holes* *Supported by the the Natural Science Foundation of Hunan Province, China (2022JJ40262), and the National Natural Science Foundation of China (12375046, 12205254)

Black holes (BHs) exhibiting coordinate singularities but lacking essential singularities throughout the spacetime are referred to as regular black holes (RBHs). The initial formulation of RBHs was presented by Bardeen, who considered the Einstein equation coupled with a nonlinear electromagnetic field. In this study, we investigate the gravitational perturbations, including the axial and polar sectors, of the Bardeen (Anti-) de Sitter black holes. We derive the master equations with source terms for both axial and polar perturbations and subsequently compute the quasinormal modes (QNMs) through numerical methods. For the Bardeen de Sitter black hole, we employ the 6th-order WKB approach. The numerical results reveal that the isospectrality is broken in this case. Conversely, the QNM frequencies are calculated using the HH method for the Bardeen Anti-de Sitter black hole.

Influence of Magnetic Screen Material on Leakage Magnetic Field and Losses in the End Zone of Turbine Generator Based on Double Iterative Method

The overheating problem of the end components affects the safe and stable operation of the turbine generator. The magnetic screen layer can improve effectively the distribution of leakage magnetic field in the end zone. Taking the nonlinearity of the core material, rotor rotation, and the complex structure into consideration, mathematical model of nonlinear transient electromagnetic field is established in the end zone of 1407MVA turbine generator. The influence of different materials of magnetic screen layer on the end leakage magnetic field is studied based on double iterative method. Current density distribution of screen plate and finger plate are determined. The losses of the end components are obtained under the different materials of magnetic screen layer, which are used as heat sources in the three-dimensional fluid-solid coupled heat transfer model. Complex fluid flow and temperature distribution of the end components are obtained in the end zone of the turbine generator. The calculation results are verified by experiments.

For description of the wave (quantum) component of all living beings: A nonlinear Schrodinger equation is offered analog of the Kardar-Parisi-Zhang nonlinear mathematical model

Everything material is material body and nonlinear electromagnetic field (NEMF1), which is the basis of the duality wave-particle. All living beings have one more NEMF (NEMF2) - a weak informational field that rules and regulates everything in the body not with its strength, but with the information it carries, which makes it essential for the health of all living beings. The article first explains why the Kardar-Parisi-Zhang nonlinear mathematical model is universally applicable to all states in dynamic nonequilibrium. At the roots of this success is the fact that all dynamic events are successfully described only with nonlinear equations and Kardar-Parisi-Zhang mathematical model is a nonlinear differential equation. The model proved to be successfully applicable to a wide range of events: growing bacterial colonies, growing crystals, aggregating colloidal clusters, the dynamic of burning regions of forest or grassland, even the dynamic of eroded by acid rain statues, etc. Since everything material is a material body and a wave component - nonlinear electromagnetic field (NEMF1) and every living being is NEMF1 + NEMF2, by analogy with the Kardar-Parisi-Zhang nonlinear mathematical model, this article offers a nonlinear Schrödinger equation to describe the wave component (NEMF1) of everything material and NEMF1 + NEMF2 of every living being.

Gravito-electromagnetic perturbations and QNMs of regular black holes

In the framework of Einstein’s gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes (BHs). The master equations of perturbations are obtained through Chandrasekhar’s formulation, from which it can be seen, different from the electric counterparts, for magnetic BHs gravitational perturbations with odd-parity coupled only to the electromagnetic perturbations with even-parity. We solve the master equations numerically and obtain quasinormal modes (QNMs) for three typical regular BHs. Results show that QNMs of distinct regular BHs differ significantly, and they differ from that of the Reissner–Nordström BH as well. Indications of these results on the stability of these regular BHs are discussed in detail.

Geodesic completeness of effective null geodesics in regular space-times with non-linear electrodynamics

We study the completeness of light trajectories in certain spherically symmetric regular geometries found in Palatini theories of gravity threaded by non-linear (electromagnetic) fields, which makes their propagation to happen along geodesics of an effective metric. Two types of geodesic restoration mechanisms are employed: by pushing the focal point to infinite affine distance, thus unreachable in finite time by any sets of geodesics, or by the presence of a defocusing surface associated to the development of a wormhole throat. We discuss several examples of such geometries to conclude the completeness of all such effective paths. Our results are of interest both for the finding of singularity-free solutions and for the analysis of their optical appearances e.g. in shadow observations.

The null geodesics of charged and non–charged black hole in mimetic gravity

The null geodesics around the charged black hole spacetimes are investigated in the mimetic gravity framework when Einstein's gravity is coupled to a nonlinear electromagnetic field. The photon paths in nonlinear electrodynamics are geodesics of the effective metric which is determined by the background metric and the particular nonlinear theory considered. The nonlinear effects are represented by a quadruple moment and appear as a correction term to Reissner Nordstrom (RN) metric and Reissner Nordstrom-anti-de Sitter (RN–(A)dS) in cylindrical metric. Remarkably, the nonlinear effects prevent the circular orbits around black holes, and the presence of the mimetic field can change the repulsive character of dS space to the attractive one. Also, the effect of the mimetic parameter manifests itself in the stronger or weaker gravity of the black hole.

AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity

In this paper, we consider Einstein–Hilbert gravity in the presence of cosmological constant and non-abelian nonlinear electromagnetic field of logarithmic type that is minimally coupled to gravity. First, black brane solution of this model is introduced and then color non-abelian DC conductivity is calculated for this solution by using AdS/conformal field theory (CFT) duality. Our result recovers the Yang–Mills model in λ → 0 limit.

Generalizations and challenges for the spacetime block-diagonalization

Discovery that gravitational field equations may coerce the spacetime metric with isometries to attain a block-diagonal form compatible with these isometries, was one of the gems built into the corpus of black hole uniqueness theorems. We revisit the geometric background of a block-diagonal metric with isometries, foliation defined by Killing vector fields and the corresponding Godbillon–Vey characteristic class. Furthermore, we analyse sufficient conditions for various matter sources, including scalar, nonlinear electromagnetic and Proca fields, that imply the isometry-compatible block-diagonal form of the metric. Finally, we generalize the theorem on the absence of null electromagnetic fields in static spacetimes to an arbitrary number of spacetime dimensions, wide class of gravitational field equations and nonlinear electromagnetic fields.

Inflation driven by non-linear electrodynamics

We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density {mathscr {L}}_{text {nled}} = - {F} f left( {F} right) , where f left( {F}right) is a general function depending on F. We first formulate an f-NLED cosmological model with a more general function f left( {F}right) and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function f left( {F}right) . We present our phenomenological model based on a new Lagrangian for NLED. Solutions to the field equations with the physical properties of the cosmological parameters are obtained. We show that the early Universe had no Big-Bang singularity, which accelerated in the past. We also investigate the qualitative implications of NLED by studying the inflationary parameters, like the slow-roll parameters, spectral index n_s, and tensor-to-scalar ratio r, and compare our results with observational data. Detailed phase-space analysis of our NLED cosmological model is performed with and without matter source. As a first approach, we consider the motion of a particle of unit mass in an effective potential. Our systems correspond to fast-slow systems for physical values of the electromagnetic field and the energy densities at the end of inflation. We analyze a complementary system using Hubble-normalized variables to investigate the cosmological evolution before the matter-dominated Universe.