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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