Truths and Myths About the Equations of Electrodynamics

The purpose of this article is to collect in an organic and synthetic way a certain number of facts regarding the equations of electrodynamics. While it is not questioned the effectiveness of the models with respect to the huge number of practical implementations, there are theoretical situations for which clarification is needed. In these cases mathematics does not allow for doubts and the response is sometimes severe. Many arguments are often lightly justified and are sources of further inaccuracies. Here, I want to precisely distinguish the incontrovertible truths from the false myths that have accumulated over the centuries. These subjects have been discussed sporadically by many authors and particularly in my previous books. Many authoritative texts instead prefer to gloss over the topics, even if they hide embarrassing inconsistencies. I think it is time to present a comprehensive list of what is true and what is wrong, on the basis of irrefutable considerations. The most critical situations certainly require corrections. For this reason I believe that an appropriate revision of the models can lead to a better understanding of electromagnetic phenomena, and when applied to atomic and molecular structures, allows us to investigate the secrets of matter more deeply.