Physical Review Letters
An effective quantum theory of gravitation in which gravity weakens at energies higher than ∼10−3 eV is one way to accommodate the apparent smallness of the cosmological constant. Such a theory predicts departures from the Newtonian inverse-square force law on distances below ∼0.05 mm. However, it is shown that this modification also leads to changes in the long-range behavior of gravity and is inconsistent with observed gravitational lenses.
Caldwell, R. R. and Grin, Daniel, "Lower Limit to the Scale of an Effective Quantum Theory of Gravitation" (2008). Open Dartmouth: Faculty Open Access Articles. 2009.