Dimensions and Units in Electrodynamics
arXiv:physics/0407022 · doi:10.1007/s10714-005-0059-2
Abstract
We sketch the foundations of classical electrodynamics, in particular the transition that took place when Einstein, in 1915, succeeded to formulate general relativity. In 1916 Einstein demonstrated that, with a choice of suitable variables for the electromagnetic field, it is possible to put Maxwell's equation into a form that is covariant under general coordinate transformations. This unfolded, by basic contributions of Kottler, Cartan, van Dantzig, Schouten & Dorgelo, Toupin & Truesdell, and Post, to what one may call {\em premetric classical electrodynamics.} This framework will be described shortly. An analysis is given of the physical dimensions involved in electrodynamics and subsequently the question of units addressed. It will be pointed out that these results are untouched by the generalization of classical to quantum electrodynamics (QED). We compare critically our results with those of {\sl L.B. Okun} which he had presented at a recent conference.
23 pages latex, 1 figure, 1 table
References in corpus (6)
- The fundamental constants and their variation: observational status and theoretical motivations
- Trialogue on the number of fundamental constants
- Is the Lorentz signature of the metric of spacetime electromagnetic in origin?
- Solar constraints on new couplings between electromagnetism and gravity
- Torsion nonminimally coupled to the electromagnetic field and birefringence
- Variability of fundamental constants
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