Foundations of Physics 35 (12):2007-2025 (2005)

Abstract
In accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell’s theory in a diffeomorphism invariant and metric-independent way. The electromagnetic field is then given in terms of the excitation $H = ({\cal H}, {\cal D})$ and the field strength F = (E,B). Additionally, a local and linear “spacetime relation” is assumed between H and F, namely H ~ κ F, with the constitutive tensor κ. The propagation is studied of electromagnetic wave fronts (surfaces of discontinuity) with a method of Hadamard. We find a generalized Fresnel equation that is quartic in the wave covector of the wave front. We discuss under which conditions the waves propagate along the light cone. Thereby we derive the metric of spacetime, up to a conformal factor, by purely electromagnetic methods
Keywords Classical electrodynamics  premetric axiomatics  differential forms  electric/magnetic reciprocity  light cone  metric
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10701-005-8659-y
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,284
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Torsional Weyl-Dirac Electrodynamics.Mark Israelit - 1998 - Foundations of Physics 28 (2):205-229.
The Cosmic Field Tensor in Bimetric General Relativity.D. B. Kerrighan - 1985 - Foundations of Physics 15 (3):379-386.
An Assessment of Evans' Unified Field Theory I.Friedrich W. Hehl - 2007 - Foundations of Physics 38 (1):7-37.
Dynamically Generated Inertia.William Moreau - 2000 - Foundations of Physics 30 (5):631-651.

Analytics

Added to PP index
2013-11-22

Total views
40 ( #234,903 of 2,324,361 )

Recent downloads (6 months)
1 ( #664,323 of 2,324,361 )

How can I increase my downloads?

Downloads

My notes