The Weinberg - Faddeev solution to the problems of quantum field theory   and quantum gravity:quantum spacetime
  In this paper a fundamental length is introduced into physics. This is done in a way which respects special relativity and quantum field theory. The theory has formal similarity to quantum field theory though its properties are far better: divergences are got rid of. The problem of quantizing gravity is straightforward in the approach. 
G.H.Gadiyar