What is the minimal number of degrees of freedom needed to describe the electromagnetic field of a single moving source?

11 November 2019 2 7K Report

This question is only one of several questions posed in our recently published open access paper at https://www.mdpi.com/2073-8994/11/12/1430/pdf

1. What is the minimal number of degrees of freedom needed to describe the electromagnetic field of a single moving source? Same question for a gravitational field. Same question for any field propagating with the speed of light.

2. Is it possible to capture all of the information about such a field in one scalar, complex-valued pre-potential?

3. Can such a pre-potential be defined invariantly with respect to the Lorentz group? the conformal group?

4. Can the Lienard-Wiechert potential be derived without assuming an inverse-square law?

5. Must the electromagnetic field of a single moving source be either self-dual or anti-self-dual?

For (most of) the answers, see our recently published open access paper at

https://www.mdpi.com/2073-8994/11/12/1430/pdf

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