2003/09/10 by D. H. Delphenich, David Delphenich, Delphenich, David
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0309108
78 pages, 18 figures
arxiv created 2003/09/10 · openalex publication_date 2003/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The limits of linear electrodynamics are reviewed, and possible directions of nonlinear extension are explored. The central theme is that the qualitative character of the empirical successes of quantum electrodynamics must be used as a guide for understanding the nature of the nonlinearity of electrodynamics at the subatomic level. Some established theories of nonlinear electrodynamics, namely, those of Mie, Born, and Infeld are presented in the language of the modern geometrical and topological methods of mathematical physics. The manner by which spacetime curvature and topology can affect electromagnetism is also reviewed. Finally, the phenomena of nonlinear optics are discussed as a possible guide to building one's intuition regarding the process of extending electrodynamics into nonlinearity in a manner that is consistent with the qualitative and empirical results of quantum electrodynamics.