We present a theory based upon the treatment of the gravitational field as a sea of gravity quanta, as defined elsewhere. The resultant model for the Universe is a static one, like Einstein first saw, with a new feature: a local shrinking quantum world that completely explains the Hubble red shift under a new point of view. The presently accepted expansion of the Universe is interpreted here as an apparent effect, as seen from the Lab system of reference. The static Universe has immersed in it a local shrinking atomic world: a fundamental change in the interpretation of the Hubble's observations. The conservation principles (momentum, angular momentum and energy) can be dealt with under 2 different points of view: local (apparent) and COSMOLOGICAL ("real"). The 2 are in complete agreement with observation. They are also free of well known contradictions or paradoxes/incoherencies (i.e. in the Big Bang model). By dealing now with very well known first principles (Heisenberg, Mach, de Broglie, Weinberg's relation) under the same 2 points of view, we arrive at the conclusion that our new approach is in accordance with the Einstein's field equations of General Relativity, and Quantum Mechanics. We consider this to be a promising first step towards the way of dealing with the gravitational field coherently both from the General Relativity and from the Quantum Mechanical theories. The agreement with the present values of the cosmological parameters is very satisfactory.

Presented at the 6th International Symposium Frontiers of Fundamental Physics, Udine (Italy), September 26-28 2004