| ABSTRACT
This Journal
Club represent Part II of an earlier talk (26 Jan 07) on the
"Epistemological and pedagogical questions concerning
electromagnetism". Maxwell's perhaps greatest accomplishment was
the development of a theory in which several seemingly disparate
phenomena of "action-at-a-distance"
between electric charges were
unified into a picture of "local action" between charges/currents and
the electromagnetic field.
The local action concept is
expressed in the form of a set of differential relations, the
Maxwell equations; the action-at-a-distance view is represented in
the form of integrals.
Both descriptions are mathematically equivalent
and they
are valid both in relativistic and
quantum domains.
I will discuss some epistemological, pedagogical and practical
implications of these forms, first by
analyzing the transition from static to dynamic potentials and the
required additional fundamental principles. Then I will discuss two
extreme cases: (i) a system of one charge under the action of
externally controlled "free" charges and currents, and (ii) a
collective system of charges under each others' influences (e.g., a
collisionless plasma). Several questions will be addressed, such as
"Which are more physical: the charges, the fields or their
potentials?"; "Is local reconnection the cause or the consequence of
an integral process?"; "What is the cause of magnetospheric field
'dipolarization'?".
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