  In this paper we apply the symmetry principle in order to search for an
alternative unified explanation of several cosmological puzzles such as the
present stage of accelerated expansion of the Universe and the Hubble tension
issue, among others. We argue that Weyl gauge symmetry, being a manifest
symmetry of gauge invariant theories of gravity operating on Weyl integrable
geometry spacetimes, may be an actual (unbroken) symmetry of our present
Universe. This symmetry may be at the core of a phenomenologically feasible
explanation of modern fundamental issues arising within the framework of
general relativity and of its known modifications.
