Constraints on the Long‐Range Properties of Gravity from Weak Gravitational Lensing

Weak gravitational lensing provides a means of testing the long-rangeproperties of gravity. Current measurements are consistent with standardNewtonian gravity and inconsistent with substantial modifications on Mpcscales. The data allows long range gravity to deviate from a 1/r potential onlyon scales where standard cosmology would use normal gravity but be dominated bydark matter. Thus, abnormal gravity theories must introduce two fine-tuningscales -- an inner scale to explain flat rotation curves and an outer scale toforce a return to Newtonian gravity on large scales -- and these scales mustcoincidently match the scales produced by the dark matter theory after evolvingthe universe for 10 billion years starting from initial conditions which areexquisitely determined from the cosmic microwave background.Comment: 4 pages, 4 figures, minor changes to reflect version accepted by journa