A new estimator of the deceleration parameter from galaxy rotation curves
The nature of dark energy can be probed by the derivative Q=dq(z)/dz|{sub 0} at redshift z = 0 of the deceleration parameter q(z). It is probably static if Q<1 or dynamic if Q>2.5, supporting ΛCDM or Λ=(1−q)H{sup 2}, respectively, where H denotes the Hubble parameter. We derive q=1−(4πa{sub 0}/cH){sup 2}, enabling a determination of q(z) by measuring Milgrom’s parameter, a{sub 0}(z), in galaxy rotation curves, equivalent to the coefficient A in the Tully–Fisher relation V{sub c}{sup 4}=AM{sub b} between a rotation velocity V {sub c} and a baryonic mass M {sub b}. We infer that dark matter should be extremely light, with clustering limited to the size of galaxy clusters. The associated transition radius to non-Newtonian gravity can conceivably be probed in a freefall Cavendish-type experiment in space.