Topological Foundations of Electromagnetism seeks a fundamental
understanding of the dynamics of electromagnetism; and marshals the
evidence that in certain precisely defined topological conditions,
electromagnetic theory (Maxwell's theory) must be extended or
generalized in order to provide an explanation and understanding
of, until now, unusual electromagnetic phenomena. Key to this
generalization is an understanding of the circumstances under which
the so-called A potential fields have physical effects. Basic to
the approach taken is that the topological composition of
electromagnetic fields is the fundamental conditioner of the
dynamics of these fields. The treatment of electromagnetism from,
first, a topological perspective, continuing through group theory
and gauge theory, to a differential calculus description is a major
thread of the book. Suggestions for potential new technologies
based on this new understanding and approach to conditional
electromagnetism are also given.
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