Covariant electromagnetic field lines

Y. Hadad, E. Cohen, I. Kaminer, A. C. Elitzur

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

Abstract

Faraday introduced electric field lines as a powerful tool for understanding the electric force, and these field lines are still used today in classrooms and textbooks teaching the basics of electromagnetism within the electrostatic limit. However, despite attempts at generalizing this concept beyond the electrostatic limit, such a fully relativistic field line theory still appears to be missing. In this work, we propose such a theory and define covariant electromagnetic field lines that naturally extend electric field lines to relativistic systems and general electromagnetic fields. We derive a closed-form formula for the field lines curvature in the vicinity of a charge, and show that it is related to the world line of the charge. This demonstrates how the kinematics of a charge can be derived from the geometry of the electromagnetic field lines. Such a theory may also provide new tools in modeling and analyzing electromagnetic phenomena, and may entail new insights regarding long-standing problems such as radiation-reaction and self-force. In particular, the electromagnetic field lines curvature has the attractive property of being non-singular everywhere, thus eliminating all self-field singularities without using renormalization techniques.

Original languageEnglish
Article number012052
JournalJournal of Physics: Conference Series
Volume880
Issue number1
DOIs
StatePublished - 21 Aug 2017
Externally publishedYes
Event8th International Workshop on Decoherence, Information, Complexity and Entropy, DICE 2016 - Castiglioncello, Italy
Duration: 12 Sep 201616 Sep 2016

Bibliographical note

Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

Fingerprint

Dive into the research topics of 'Covariant electromagnetic field lines'. Together they form a unique fingerprint.

Cite this