Exactly the same thing as they would be in normal conventions. The redefined G' (let's call it G' to distinguish it numerically) can be used equally well for all problems in both Newtonian gravity and general relativity.
Whereby both human and cows can understand it is no longer a basic equation.
That's the problem, Bjarne: it was never a 2D law in the first place.
Which mean you must have a 3D lawn, since for example radius^2 now = 3D – So a 2 D lawn is ridicules.
It was always a 3D law. I'm not "converting" it; I'm simply explaining why the argument you made--based on the presence or absence of 4π--is completely ridiculous.
You only need to close your eyes and your third dimension does no longer exist. This is a scientific fact. Still you can dream about (and calculate) the 3rd dimension, but still it ONLY is what it always was, - imagination in your own mind.
Using different units doesn't change the laws of physics. Using a different convention for G is even less fundamental than, say, using feet instead of meters or esu instead of coulombs.
This refelct how your brain always works, this time you
mathematical fabricate the reality you belive is , - out there.
Based on Geometry you can off course calculate the cube or surface of any objects, but this doesn’t prove that 3D is "out there", - still it is only produced by your brain. This is all we know.
The flow of EM-information is a much stranger reality than the one you claim exist out there and is real. EM-information is all what the “real” reality (out there) is about.
A computer connected to your brain can (in principle) take you on a 100% absolute “real” journey to Jupiter, you will now in the PC introduced dream see that Jupiter is 3D, - and say I can prove it, - and also that the universe is also 3D, it is all evidently, since you have seen it all.
The fact is that a computer have cheated you, included the mathematic to get there. Now think about (at least 7 second of your live) how also gravity cheat you until you believe it happens” out there” in the 3D reality.
Still you can say this and that is a mathematical fact. But you can do the exact same in a dream, even though there is absolutely nothing out there “now” causing that dream.
Everything, also the 8 km long 500 ton train is always only inside your head, it is basic exactly the same as a dream. Dreams are all what the brain visually can understand.
All we can say for certain is that our inner cinema is ONLY 2D and on that
basic we
must try to understand the
basic of everything, included gravity. But there is off course a lot more than that to learn.
Calculated surface or cube, is never 3D realities "out there" but something very different inside "our realities" that certainly in its basic is rather 2D images reality than 3D.
Understanding gravity included the square / magnitude symmetry (equal proportionality) is according to mother cow something that shouldn’t be ignored. Dont underestimate that.
Think about that in a cinema you will see for example 1 billion fast changing images. This will take you to a different reality, sometimes so strong that you many years after will continue to see scenes from it.
Exactly the same is what real reality is about,- only billion of images, + other spices to make it more real. Quantum physic teaches us that the universe is almost like a big cinema, only fast flashed so fast that we belive it all is "real". Think about that, and now rethink what is 3, - really ?
So long we have no idea why there is equal proportionately between ADG magnitude and square increase, - we should be more carefully to determinate what the basic nature of gravity / reality is.
Add to that that also the Lorentz transformation also tells a different story of what reality is.
The opposite of a fact is falsehood, but the opposite of one profound truth may very well be another profound truth.
Niels Bohr