Equations of dyon electromagnetic field
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V. L. Mironov
Abstract
We discuss the symmetry between electricity and magnetism within the framework of the electromagnetic field equations. The electrodynamics of Schwinger dyons is considered as a basic model. It is shown that all existing charged particles can be described in two equivalent ways: either as dyons, carrying both electric and magnetic charge, or as particles having only a universal electric charge. In the first case, the system of Maxwell’s equations is symmetrical, and in the second case, the equations have an asymmetry associated with the asymmetry of the sources. The equivalence of two described approaches clearly shows that the commonly accepted statement about the absence of magnetic charges only reflects the specific choice between two analytical approaches, and has nothing to do with the fundamental asymmetry of nature.
Abstract
We discuss the symmetry between electricity and magnetism within the framework of the electromagnetic field equations. The electrodynamics of Schwinger dyons is considered as a basic model. It is shown that all existing charged particles can be described in two equivalent ways: either as dyons, carrying both electric and magnetic charge, or as particles having only a universal electric charge. In the first case, the system of Maxwell’s equations is symmetrical, and in the second case, the equations have an asymmetry associated with the asymmetry of the sources. The equivalence of two described approaches clearly shows that the commonly accepted statement about the absence of magnetic charges only reflects the specific choice between two analytical approaches, and has nothing to do with the fundamental asymmetry of nature.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- About the editors IX
- List of contributors XI
- Intermediate systems and invariants 1
- Folding in fluids 19
- Vortex models of plane turbulent flows 37
- Equations of dyon electromagnetic field 53
- Minimal action principle for gravity and electrodynamics, Einstein lambda, and Lagrange points 65
- Methods for constructing invariant conservative finite-difference schemes for hydrodynamic-type equations 83
- On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium 111
- Approximate solution of a boundary-value problem for a model of the far momentumless turbulent wake 125
- Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid 135
- Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters 143
- Index 165
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- About the editors IX
- List of contributors XI
- Intermediate systems and invariants 1
- Folding in fluids 19
- Vortex models of plane turbulent flows 37
- Equations of dyon electromagnetic field 53
- Minimal action principle for gravity and electrodynamics, Einstein lambda, and Lagrange points 65
- Methods for constructing invariant conservative finite-difference schemes for hydrodynamic-type equations 83
- On exact analytical solutions of equations of Maxwell incompressible viscoelastic medium 111
- Approximate solution of a boundary-value problem for a model of the far momentumless turbulent wake 125
- Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid 135
- Discrete orthogonal polynomials: anomalies of time series and boundary effects of polynomial filters 143
- Index 165
