Is the free electromagnetic field a consequence of Maxwell's equations or a postulate?

Citation
Ae. Chubykalo et al., Is the free electromagnetic field a consequence of Maxwell's equations or a postulate?, FOUND PH L, 11(6), 1998, pp. 573-584
Citations number
9
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS LETTERS
ISSN journal
08949875 → ACNP
Volume
11
Issue
6
Year of publication
1998
Pages
573 - 584
Database
ISI
SICI code
0894-9875(199812)11:6<573:ITFEFA>2.0.ZU;2-F
Abstract
It is generally accepted that solutions of so called "free" Maxwell equatio ns for rho = 0 (null charge density at every point of the whole space) desc ribe a free electromagnetic field far which flux lines neither begin nor en d in a charge). In order to avoid ambiguities and unacceptable approximatio n which have place in the conventional approach in respect to the free fiel d 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, fo r example, inside a hollow conductor of any shape or in a free-charge unive rse; (ii) "non-isolated charge-free" region, where this electric [see (i)] field ice not zero in every point; and (iii) "charge-neutral" region, where point charges exist but their algebraic sum is zero. According to these de finitions 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-neutr al" and "non-isolated charge-free regions, where the condition rho = delta function or rho = 0 respectively holds, Maxwell's equation for the total el ectric field have non-zero solutions, as in the conventional approach. Howe ver, these solution cannot be strictly identified with the electric free fi eld. This analysis gives rise to the reconsideration of the free-electromag netic field concept and leads to the simplest implications in respect to ch arge-neutral universe.