Can evolution account for uniformity in nature?

Note that G is expressed in terms of meters cubed, divided by grams or kilograms and seconds squared. So the "value" is dependent on those units, which are all just human constructs. If we could know the exact value of G, it would be miraculous if it turned out to be a rational number when expressed in those arbitrary.

Units. Remember that a "second" is defined as: The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom. The "ground state" is at 0 degrees Kelvin.

With such a definition for the second, I think the answer to the question is, on the one hand, essentially meaningless, but on the other hand, almost assuredly irrational. The idea that there could be relativistic effects that change the value of the "constant" is also interesting. If a unified field theory ever provided an better explanation of gravity than we have now, physicists may come up with an exact value based on some as yet unknown units for mass, distance, and time.

Perhaps one could define the constant to be some convenient rational numerical value, such as 10^11, and then define the other units in terms of G.

No. As is defined till this day, its an *empirical* constant. It is subject to the precision of the instruments used, hence has a finite accuracy; It has only so many digits and therefore is a rational number.

This might change in the future, depending on the redefintions ( as is happening for the kilogram).

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.