The hidden geometry of electromagnetism

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Hadad, Y.^1 ; Cohen, E.^2 ; Kaminer, I.^3 ; Elitzur, A.C.^4

Department of Mathematics, University of Arizona, Tucson

AZ

85721, United States^1

School of Physics and Astronomy, Tel Aviv University, Ramat-Aviv, Tel Aviv

6997801, Israel^2

Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge

MA

02139, United States^3

Iyar, Israeli Institute for Advanced Research, Rehovot, Israel^4

关键词: Classical electrodynamics;    Classical electromagnetism;    Classical fields;    External fields;    Geometrical structure;    Gravitational phenomena;    Quantum physics;    Research topics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012024/pdf
DOI  :  10.1088/1742-6596/626/1/012024

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Nearly all field theories suffer from singularities when particles are introduced. This is true in both classical and quantum physics. Classical field singularities result in the notorious self-force problem, where it is unknown how the dynamics of a particle change when the particle interacts with its own (self) field. Self-force is a pressing issue and an active research topic in gravitational phenomena, as well as a source of controversies in classical electromagnetism. In this work, we study a hidden geometrical structure manifested by the electromagnetic field-lines that has the potential of eliminating all singularities from classical electrodynamics. We explore preliminary results towards a consistent way of treating both self- and external fields.