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- Title
The Pre-Potential of a Field Propagating with the Speed of Light and Its Dual Symmetry.
- Authors
Friedman, Yaakov; Gootvilig, David Hai; Scarr, Tzvi
- Abstract
Relativity theory assumes that force fields propagate with the speed of light. We show that such force fields generated by a single source can be described by a pre-potential, which is a complex-valued function on spacetime outside the worldline of the source. The pre-potential is invariant under a spin-half representation of the Lorentz group acting on complexified spacetime. The complex four-potential of such a field is defined and calculated explicitly from the pre-potential without assuming any particular force law for the field. The real part of the obtained four-potential coincides with the known Liénard–Wiechert potential. The symmetry of the four-potential is described herein. The pre-potential satisfies the wave equation. The single source electromagnetic field derived from this four-potential is self-dual or anti-self-dual. The pre-potential and the four-potential are extended to a field with several sources.
- Subjects
LORENTZ groups; SYMMETRY; WAVE equation; SPACETIME; ELECTROMAGNETIC fields
- Publication
Symmetry (20738994), 2019, Vol 11, Issue 12, p1430
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym11121430