Mathematical and physical aspects of gauge theories

It is now a broadly-admitted fact that gauge theories provide intense research stimulation for both mathematicians and physicists. We tried to show that, as far as bundles and connections are the adequate minimal concepts to formalize the very act of beings which produce their own space in a consistent way, or, which is the same, the very act of informing a basis world B through a parametrized space of operations E, gauge theories realize a true translation between geometrical and physical information.