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Is the Free Electromagnetic Field a Consequence of Maxwell's Equations or a Postulate?

Authors :
Chubykalo, A.
Múnera, H.
Smirnov-Rueda, R.
Source :
Foundations of Physics Letters; Dec1998, Vol. 11 Issue 6, p573-584, 12p
Publication Year :
1998

Abstract

It is generally accepted that solutions of so called 'free' Maxwell equations for ϱ = 0 (null charge density at every point of the whole space) describe a free electromagnetic field for which flux lines neither begin nor end in a charge). In order to avoid ambiguities and unacceptable approximation which have place in the conventional approach in respect to the free field concept, we explicitly consider three possible types of space regions: ( i) 'isolated charge-free' region, where a resultant electric field with the flux lines which either begin or end in a charge is zero in every point, for example, inside a hollow conductor of any shape or in a free-charge universe; ( ii) 'non-isolated charge-free' region, where this electric [see ( i)] field is not zero in every point; and ( iii) 'charge-neutral' region, where point charges exist but their algebraic sum is zero. According to these definitions a strict mathematical interpretation of Maxwell's equations gives following conclusions: (1) In 'isolated charge-free' regions electric free field cannot be unconditionally understood neither as a direct consequence of Maxwell's equations nor as a valid approximation: it may be introduced only as a postulate; nevertheless, this case is compatible is the existence of a time-independent background magnetic field. (2) In both 'charge-neutral' and 'non-isolated charge-free' regions, where the condition ϱ = δ function or ϱ = 0 respectively holds, Maxwell's equation for the total electric field have non-zero solutions, as in the conventional approach. However, these solution cannot be strictly identified with the electric free field. This analysis gives rise to the reconsideration of the free-electromagnetic field concept and leads to the simplest implications in respect to charge-neutral universe. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08949875
Volume :
11
Issue :
6
Database :
Complementary Index
Journal :
Foundations of Physics Letters
Publication Type :
Academic Journal
Accession number :
93892110
Full Text :
https://doi.org/10.1023/A:1022137009666