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The gravitational constant

General Relativity is assumed to be the correct theory of gravity, but the value of the gravitational constant is derived in terms of the surrounding matter distribution.

As length scales increase with time, the internal energy ( ) of a mass would increase due to the speed of light increasing. This increase is proportional to the original mass of the object.

Energy can be conserved however, if a mass attracts all other masses in the universe, with a strength proportional to its own mass. Gravitation is thus caused by the rescaling process.

Initially the total energy of the mass is



M = mass of universe within radius R.
At a later time it is


For energy to be conserved, as time passes, the total rest-energy of a mass must equal the total gravitational potential energy of the mass.

giving

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