Helicity and the Electromagnetic Field: Difference between revisions
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==Abstract== | ==Abstract== | ||
The structure of the Poincare group gives, under all conditions, an equation of field helicity which reduces to the Maxwell equations and also gives cyclic relations between field components. If the underlying symmetry of special relativity is represented by the Poincare group, it follows that the Maxwell equations and the cyclic equations are both products of special relativity itself, and both stem from the equation of helicity. This means that the symmetry of special relativity demands the existence of longitudinal solutions of Maxwell's equations under all topological conditions. In particular, the fundamental spin component of the electromagnetic field is B(3), a longitudinal magnetic flux density which is free of phase and which is a topological invariant. | The structure of the Poincare group gives, under all conditions, an equation of field helicity which reduces to the Maxwell equations and also gives cyclic relations between field components. If the underlying symmetry of special relativity is represented by the Poincare group, it follows that the Maxwell equations and the cyclic equations are both products of special relativity itself, and both stem from the equation of helicity. This means that the symmetry of special relativity demands the existence of longitudinal solutions of Maxwell's equations under all topological conditions. In particular, the fundamental spin component of the electromagnetic field is B(3), a longitudinal magnetic flux density which is free of phase and which is a topological invariant. | ||
[[Category:Relativity]] | [[Category:Scientific Paper|helicity electromagnetic field]] | ||
[[Category:Relativity|helicity electromagnetic field]] | |||
Latest revision as of 21:36, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Helicity and the Electromagnetic Field |
| Read in full | Link to paper |
| Author(s) | Myron W Evans |
| Keywords | Helicity equation, Poincare group, B(3) field. |
| Published | 1997 |
| Journal | Apeiron |
| Volume | 4 |
| Number | 2-3 |
| No. of pages | 6 |
| Pages | 48-54 |
Read the full paper here
Abstract
The structure of the Poincare group gives, under all conditions, an equation of field helicity which reduces to the Maxwell equations and also gives cyclic relations between field components. If the underlying symmetry of special relativity is represented by the Poincare group, it follows that the Maxwell equations and the cyclic equations are both products of special relativity itself, and both stem from the equation of helicity. This means that the symmetry of special relativity demands the existence of longitudinal solutions of Maxwell's equations under all topological conditions. In particular, the fundamental spin component of the electromagnetic field is B(3), a longitudinal magnetic flux density which is free of phase and which is a topological invariant.