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A "Running" Gravitational Constant?

A. C. Melissinos
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Abstract

If the gravitational interaction is unified with the electroweak and strong interactions at a mass M=10^15 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/4m^2) where s is the usual cm energy between two protons. We can then predict the observable effects for relativistic collisions (sqrt(s)~1.4x10^4 GeV) as well as for the case of low velocity motion (beta^2~10^-5)

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A. C. Melissinos. 2002-07-23. A "Running" Gravitational Constant?. https://arxiv.org/abs/hep-ph/0207282

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