  General Relativity can be formulated in terms of a spatially Weyl invariant
gauge theory called Shape Dynamics. Using this formulation, we establish a
"bulk/bulk" duality between gravity and a Weyl invariant theory on spacelike
Cauchy hypersurfaces. This duality has two immediate consequences: i) it leads
trivially to a corresponding "bulk/boundary" duality between General Relativity
and a boundary CFT, and ii) the boundary can be defined in a gauge-invariant
way. Moreover, the corresponding bulk/boundary duality is sufficient to explain
a large portion of the evidence in favor of gauge/gravity duality and provides
independent evidence for the AdS/CFT correspondence.
