Geometry and physics of today

Abstract

The ``geometry'', in the sense of the classical differential geometry of smooth manifolds (CDG), is put under scrutiny from the point of view of Abstract Differential Geometry (ADG), along with resulting, thereby, potential physical consequences, in what, in particular, concerns physical ``gauge theories'', when the latter are viewed as being, anyway, of a ``geometrical character''. Yet, ``physical geometry'', in connection with physical laws and the associated with them, within the context of ADG, ``differential'' equations (whence, no background spacetime manifold is needed thereat), are also under discussion.