  Non-standard topics underlying a partly original approach to gauge field
theory are concisely introduced, expressing ideas that were broached in several
papers and, eventually, exposed in an organized form in a recently published
book. By proposing a change of perspective about the roles and relative
importance of several notions, this approach seeks to obtain an overall
clarification of foundational matters. In particular, by consistently relying
on natural differential geometry, the role of groups is shown to be
downgradable to secondary.
