Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational parameter and other cosmological parameters

A substantial improvement in the accuracy of G-dot tests (The dot denotes the time derivative.) would make it realistic to speak in terms of a measurement of G-dot, rather than merely a smaller upper bound on |G-dot|. We show that the accuracy delta|G-dot/G| \approx 10^-14 yr^-1 may be sufficient, given the accuracy of other cosmological parameters, to observe effects predicted by higher dimensions theories and, hence, to discriminate among different models. The \.G design goal for the SEE (Satellite Energy Exchange) mission is delta(G-dot/G) \approx 10^-14 yr^-1.