A "Running" Gravitational Constant?
Abstract
If the gravitational interaction is unified with the electroweak and strong interactions at a mass M=1015 GeV, the evolution of Newton's constant must differ from its classical (general relativistic) form. We can model such behavior by introducing an ad hoc dependence on ln(s/4m2) where s is the usual cm energy between two protons. We can then predict the observable effects for relativistic collisions (sqrt(s)~1.4x104 GeV) as well as for the case of low velocity motion (beta2~10-5)
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