  General relativity and quantum mechanics are perhaps the two most successful
theories of the XXth century. Despite their impressive accurate predictions,
they are both valid at their own scales and do not seem to be expressible using
the same framework. It is commonly accepted that in order to create a
consistent theory of both quantum mechanics and gravity, it is required to
quantize the gravitational field. In the present paper, another path is taken
on which the Einstein field equations emerge from a geometric formulation of
relativistic quantum mechanics. In this context, there appears to be no need
for quantizing gravity since gravity would in fact be a fully quantum effect.
