scholarly journals The New Field Quantities and the Poynting Theorem in Material Medium with Magnetic Monopoles

2016 ◽  
Vol 67 (6) ◽  
pp. 444-448
Author(s):  
Ömer Zor
Keyword(s):  
Dimensional Analysis ◽  
Lorentz Force ◽  
Constitutive Equations ◽  
Maxwell Equations ◽  
Magnetic Monopoles ◽  
Magnetic Intensity ◽  
Duality Transformation ◽  
Material Medium ◽  
Si Units ◽  
Poynting Theorem

Abstract The duality transformation was used to define the polarization mechanisms that arise from magnetic monopoles. Then, a dimensional analysis was conducted to describe the displacement and magnetic intensity vectors (constitutive equations) in SI units. Finally, symmetric Maxwell equations in a material medium with new field quantities were introduced. Hence, the Lorentz force and the Poynting theorem were defined with these new field quantities, and many possible definitions of them were constructed.

scholarly journals The Dual Continuity Equations

2018 ◽  
Author(s):  
Arbab Arbab ◽  
Norah N. Alsaawi
Keyword(s):  
Electromagnetic Field ◽  
Wave Equation ◽  
Gauge Invariance ◽  
Maxwell Equations ◽  
Continuity Equation ◽  
Mathematical Structure ◽  
Magnetic Monopoles ◽  
System Of Equations ◽  
Duality Transformation ◽  
Continuity Equations

The ordinary continuity equation relating the current and density of a system is extended to incorporate systems with dual (longitudinal and transverse) currents. Such a system of equations is found to have the same mathematical structure as that of Maxwell equations. The horizontal and transverse currents and the densities associated with them are found to be coupled to each other. Each of these quantities are found to obey a wave equation traveling at the velocity of light in vacuum. London's equations of super-conductivity are shown to emerge from some sort of continuity equations. The new London's equations are symmetric and are shown to be dual to each other. It is shown that London's equations are Maxwell's equations with massive electromagnetic field (photon). These equations preserve the gauge invariance that is broken in other massive electrodynamics. The duality invariance may allow magnetic monopoles to be present inside superconductors. The new duality is called the comprehensive duality transformation.

Reconstruction of symmetric Dirac–Maxwell equations using nonassociative algebra

2015 ◽  
Vol 12 (03) ◽  
pp. 1550029 ◽  
Author(s):  
Pushpa Kalauni ◽  
J. C. A. Barata
Keyword(s):  
Magnetic Fields ◽  
Maxwell Equations ◽  
Matrix Representation ◽  
Single Equation ◽  
Magnetic Monopoles ◽  
Nonassociative Algebra ◽  
Compact Representation ◽  
Duality Transformation ◽  
Electric And Magnetic Fields ◽  
Algebraic Properties

In the presence of sources, the usual Maxwell equations are neither symmetric nor invariant with respect to the duality transformation between electric and magnetic fields. Dirac proposed the existence of magnetic monopoles for symmetrizing the Maxwell equations. In the present work, we obtain the fully symmetric Dirac–Maxwell's equations (i.e. with electric and magnetic charges and currents) as a single equation by using 4 × 4 matrix presentation of fields and derivative operators. This matrix representation has been derived with the help of the algebraic properties of quaternions and octonions. Such description gives a compact representation of electric and magnetic counterparts of the field in a single equation.

scholarly journals Continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 395-409 ◽  
Author(s):  
Mayeul Arminjon
Keyword(s):  
Gravitational Field ◽  
Lorentz Force ◽  
Maxwell Equations ◽  
Gravitational Force ◽  
Continuous Medium ◽  
Pressure Force ◽  
Local Charge ◽  
Theory Of Gravitation ◽  
External Forces ◽  
Continuum Dynamics

AbstractAn alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes’ thrust. In it, the gravitational field affects the physical standards of space and time, but motion is governed by an extension of the relativistic form of Newton’s second law. This implies Einstein’s geodesic motion for free particles only in a constant gravitational field. In this work, equations governing the dynamics of a continuous medium subjected to gravitational and non-gravitational forces are derived. Then, the case where the non-gravitational force is the Lorentz force is investigated. The gravitational modification of Maxwell’s equations is obtained under the requirement that a charged continuous medium, subjected to the Lorentz force, obeys the equation derived for continuum dynamics under external forces. These Maxwell equations are shown to be consistent with the dynamics of a “free” photon, and thus with the geometrical optics of this theory. However, these equations do not imply local charge conservation, except for a constant gravitational field.

scholarly journals A Model of Magnetic Monopoles

1997 ◽  
Vol 12 (40) ◽  
pp. 3153-3159 ◽  
Author(s):  
Rainer W. Kühne
Keyword(s):  
Electric Charge ◽  
Quantum Electrodynamics ◽  
Maxwell Equations ◽  
Rest Frame ◽  
Electromagnetic Interaction ◽  
Magnetic Monopoles ◽  
Relativity Principle ◽  
Electric And Magnetic Fields ◽  
Physical Effects ◽  
Field Theoretical Model

The possibility of the existence of magnetic charges is one of the greatest unsolved issues of the physics of this century. The concept of magnetic monopoles has at least two attractive features: (i) Electric and magnetic fields can be described equivalently. (ii) In contrast to quantum electrodynamics, models of monopoles are able to explain the quantization of electric charge. We suggest a quantum field theoretical model of the electromagnetic interaction that describes electricity and magnetism as equivalent as possible. This model requires the cross-section of Salam's "magnetic photon" to depend on the absolute motion of the electric charge with which it interacts. We suggest a tabletop experiment to verify this magnetic photon. Its discovery by the predicted effect would have far-reaching consequences: (i) Evidence for a new gauge boson and a new kind of radiation which may find applications in medicine. (ii) Evidence for symmetrized Maxwell equations. (iii) Evidence for an absolute rest frame that gives rise to local physical effects and violation of Einstein's relativity principle.

scholarly journals Experimental investigation of an unusual induction effect and its interpretation as a necessary consequence of Weber electrodynamics

2021 ◽  
Author(s):  
Steffen Kühn
Keyword(s):  
Experimental Investigation ◽  
Experimental Evidence ◽  
Lorentz Force ◽  
Electromagnetic Force ◽  
Maxwell Equations ◽  
Magnetic Force ◽  
Induction Effect ◽  
Electric Force ◽  
Test Charge

The magnetic force acts exclusively perpendicular to the direction of motion of a test charge, whereas the electric force does not depend on the velocity of the charge. This article provides experimental evidence that, in addition to these two forces, there is a third electromagnetic force that (i) is proportional to the velocity of the test charge and (ii) acts parallel to the direction of motion rather than perpendicular. This force cannot be explained by the Maxwell equations and the Lorentz force, since it is mathematically incompatible with this framework. However, this force is compatible with Weber electrodynamics and Ampère's original force law, as this older form of electrodynamics not only predicts the existence of such a force but also makes it possible to accurately calculate the strength of this force.

scholarly journals Experimental investigation of an unusual induction effect and its interpretation as a necessary consequence of Weber electrodynamics

2021 ◽  
Author(s):  
Steffen Kühn
Keyword(s):  
Experimental Investigation ◽  
Experimental Evidence ◽  
Lorentz Force ◽  
Electromagnetic Force ◽  
Maxwell Equations ◽  
Magnetic Force ◽  
Induction Effect ◽  
Electric Force ◽  
Test Charge

The magnetic force acts exclusively perpendicular to the direction of motion of a test charge, whereas the electric force does not depend on the velocity of the charge. This article provides experimental evidence that, in addition to these two forces, there is a third electromagnetic force that (i) is proportional to the velocity of the test charge and (ii) acts parallel to the direction of motion rather than perpendicular. This force cannot be explained by the Maxwell equations and the Lorentz force, since it is mathematically incompatible with this framework. However, this force is compatible with Weber electrodynamics and Ampère's original force law, as this older form of electrodynamics not only predicts the existence of such a force but also makes it possible to accurately calculate the strength of this force.

scholarly journals Experimental investigation of an unusual induction effect and its interpretation as a necessary consequence of Weber electrodynamics

2021 ◽  
Vol 72 (6) ◽  
pp. 366-373
Author(s):  
Steffen Kühn
Keyword(s):  
Experimental Investigation ◽  
Lorentz Force ◽  
Electromagnetic Force ◽  
Maxwell Equations ◽  
Magnetic Component ◽  
Induction Effect ◽  
Test Charge ◽  
Electric Component ◽  
Experimental Indication

Abstract The magnetic component of the Lorentz force acts exclusively perpendicular to the direction of motion of a test charge, whereas the electric component does not depend on the velocity of the charge. This article provides experimental indication that, in addition to these two forces, there is a third electromagnetic force that (i) is proportional to the velocity of the test charge and (ii) acts parallel to the direction of motion rather than perpendicular. This force cannot be explained by the Maxwell equations and the Lorentz force, since it is mathematically incompatible with this framework. However, this force is compatible with Weber electrodynamics and Ampère’s original force law, as this older form of electrodynamics not only predicts the existence of such a force but also makes it possible to accurately calculate the strength of this force.

scholarly journals Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
B. C. Chanyal ◽  
Mayank Pathak
Keyword(s):  
Wave Equation ◽  
Cold Plasma ◽  
Maxwell Equations ◽  
Magnetic Monopoles ◽  
Alfven Wave ◽  
Vorticity Field ◽  
Field Equations ◽  
Continuity Equations ◽  
Fields Equations ◽  
Quaternionic Formulation

The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magnetohydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz, and CPT transformations.

scholarly journals MAGNETIC MONOPOLES, BOGOMOL’NYI BOUND AND SL(2, ℤ) INVARIANCE IN STRING THEORY

1993 ◽  
Vol 08 (21) ◽  
pp. 2023-2036 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
String Theory ◽  
Lower Bound ◽  
Weak Coupling ◽  
Magnetic Monopoles ◽  
Elementary Particles ◽  
Heterotic String ◽  
Dimensional Torus ◽  
Duality Transformation ◽  
Heterotic String Theory ◽  
Elementary String

We show that in heterotic string theory compactified on a six-dimensional torus, the lower bound (Bogomol’nyi bound) on the dyon mass is invariant under the SL (2, ℤ) transformation that interchanges strong and weak coupling limits of the theory. Elementary string excitations are also shown to satisfy this lower bound. Finally, we identify specific monopole solutions that are related via the strong-weak coupling duality transformation to some of the elementary particles saturating the Bogomol’nyi bound, and these monopoles are shown to have the same mass and degeneracy of states as the corresponding elementary particles.

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