  Recent advances in the theory of metric measures spaces on the one hand, and
of sub-Riemannian ones on the other hand, suggest the possibility of a "great
unification" of Riemannian and sub-Riemannian geometries in a comprehensive
framework of synthetic Ricci curvature lower bounds. With the aim of achieving
such a unification program, in this paper we initiate the study of gauge metric
measure spaces.
