Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational parameter and other cosmological parameters
Alvin J. Sanders, George T. Gillies, Ernst Schmutzer

TL;DR
This paper discusses how precise measurements of the time variation of the gravitational constant G could enable testing and discrimination of higher-dimensional cosmological models, with implications for future satellite missions.
Contribution
It demonstrates that achieving a measurement accuracy of about 10^-14 yr^-1 for G-dot could allow detection of effects predicted by higher-dimensional theories.
Findings
Measurement accuracy of 10^-14 yr^-1 for G-dot is feasible.
Such precision could distinguish between different cosmological models.
Implications for the SEE satellite mission design.
Abstract
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.
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