Quantum Geometry as a Relational Construct
  The problem of constructing a quantum theory of gravity is considered from a novel viewpoint. It is argued that any consistent theory of gravity should incorporate a relational character between the matter constituents of the theory.   In particular, the traditional approach of quantizing a space-time metric is criticized and two possible avenues for constructing a satisfactory theory are put forward. 
Alejandro Corichi, Michael P. Ryan and Daniel Sudarsky