What is it about?
It is known that both an electromagnetic and gravitational fields propagate with the speed of light. We have shown that such fields can be described effectively by a single complex-valued function on space-time, called the pre-potential. This is similar to the description of particles in Quantum Mechanics. The electromagnetic field of a moving charge is derived directly from the pre-potential. The pre-potential is invariant under spin-half representation of the Lorentz group.
Featured Image
Why is it important?
The pre-potential of a fields provides a bridge between relativistic and quantum physics. This description is more compact with respect to the known ones. The known four-potential description of a field is derived from it. Also the inverse square law for electromagnetic force field follow from it. We discovered that a single source field is always self-dual, a property which was previously assumed without justification. This is achieved by deep mathematical analysis. It is surprising that classical fields are invariant under a spin-half representation, which is typical for quantum objects.
Perspectives
I hope this article will become a foundation for a relativistic field theory combining both electromagnetism and gravitation. I expect that eventually this research will bring into reality the dream of A. Einstein of extend relativity theory to the quantum region
Professor Yaakov Friedman
Jerusalem College of Technology
Read the Original
This page is a summary of: The Pre-Potential of a Field Propagating with the Speed of Light and Its Dual Symmetry, Symmetry, November 2019, MDPI AG,
DOI: 10.3390/sym11121430.
You can read the full text:
Contributors
The following have contributed to this page
