Electrodynamics of the Maxwell-Lorentz type in the ten-dimensional space of the testing of special relativity: A case for Finsler type connections [Book Review]

Foundations of Physics 19 (3):269-291 (1989)

Authors
Abstract
It has recently been shown by Vargas, (4) that the passive coordinate transformations that enter the Robertson test theory of special relativity have to be considered as coordinate transformations in a seven-dimensional space with degenerate metric. It has also been shown by Vargas that the corresponding active coordinate transformations are not equal in general to the passive ones and that the composite active-passive transformations act on a space whose number of dimensions is ten (one-particle case) or larger (more than one particle).In this paper, two different (families of) electrodynamics are constructed in ten-dimensional space upon the coordinate free form of the Maxwell and Lorentz equations. The two possibilities arise from the two different assumptions that one can naturally make with respect to the acceleration fields of charges, when these fields are related to their relativistic counterparts. Both theories present unattractive features, which indicates that the Maxwell-Lorentz framework is unsuitable for the construction of an electrodynamics for the Robertson test theory of the Lorentz transformations. It is argued that this construction would first require the formulation of Maxwell-Lorentz electrodynamics in the form of a connection in Finsler space. If such formulation is possible, the sought generalization would consist in simply changing bases in the tangent spaces of the manifold that supports the connection. In addition, the number of dimensions of the space of the Robertson transformations would be ten, but not greater than ten
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00734560
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: 46,355
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Revised Robertson's Test Theory of Special Relativity.José G. Vargas - 1984 - Foundations of Physics 14 (7):625-651.

Add more references

Citations of this work BETA

On the Geometrization of Electrodynamics.Jose G. Vargas - 1991 - Foundations of Physics 21 (4):379-401.

Add more citations

Similar books and articles

“True Transformations Relativity” and Electrodynamics.Tomislav Ivezić - 2001 - Foundations of Physics 31 (8):1139-1183.
Coulomb Potential From Lorentz Invariance in N Dimensions.Martin Land - 2007 - Foundations of Physics 37 (4-5):597-631.
Euclidean Special Relativity.Alexander Gersten - 2003 - Foundations of Physics 33 (8):1237-1251.
Revised Robertson's Test Theory of Special Relativity.José G. Vargas - 1984 - Foundations of Physics 14 (7):625-651.

Analytics

Added to PP index
2013-11-22

Total views
21 ( #442,272 of 2,286,136 )

Recent downloads (6 months)
3 ( #413,317 of 2,286,136 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature