Summary
Gravitational theories can be written in terms of rescaled fields without the Planck mass. The rescaled tetrads acquire the dimension of mass. The actual distribution of energy throughout space-time causes the tetrads to assume vacuum expected values of the order of the Planck mass,m p. Thus the gravitational constant,G=ħc/m 2P , may be viewed not as a fundamental constant, but as a mass scale that is dynamically determined by the large-scale structure of the Universe.
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Supported in part by the U.S. Department of Energy under contract DE-AC04-81ER40042.
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Cahill, K. The gravitational constant. Lett. Nuovo Cimento 39, 181–184 (1984). https://doi.org/10.1007/BF02790586
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DOI: https://doi.org/10.1007/BF02790586