The non sequitur mathematics and physics of the New Electrodynamics proposed by the AIAS group

We show that the AIAS group collection of papers on a ``new electrodynamics'' recently published in the Journal of New Energy, as well as other papers signed by that group (and also other authors) appearing in other established physical journals and in many books published by leading international publishers (see references) are full of misconceptions and misunderstandings concerning the theory of the electromagnetic field and contain fatal mathematical flaws, which invalidates almost all claims done by the authors. We prove our statement by employing a modern presentation of Maxwell Theory using Clifford bundles and also develop the basic ideas of gauge theories using principal and associated vector bundles.