[GourmetDan]

"“Heliocentrism always ignores the rest of the universe while geocentrism always includes it. Your example above shows how the rest of the universe is ignored by focusing on the sun/earth CG. Consider that the solar system is a mere point when compared to the universe. Then consider that it does not take much gravitational imbalance in the universe to move the CG from somewhere inside the sun (for heliocentrism) to inside the earth (for geocentrism).”

That's correct.

"Unless you are too obtuse to understand your own writing; this is you suggesting that a “gravitational imbalance” when considering the “rest of the universe” would cause the Sun to orbit the Earth."

I believe you have adequately demonstrated your own lack of understanding. The CG for the universe is centered on the earth. Not the CG for the earth-sun. This seems to be your main difficulty in comprehension. You twist that into the claim that some force must drag the sun around the earth. That simply isn't the claim.

" Why say it and then deny you said it? Are you trying to sound stupid?"

I didn't say it. As I have said multiple times, you simply don't understand the model.

[allmendream]

If the center of gravity, due to your “imbalance” by factoring in the “rest of the universe” is causing the Sun to go around the Earth; then it is the GRAVITY of the “rest of the universe” causing the Sun to move around the Earth.

Of course the Sun does NOT move around the Earth; the Gravity between the Earth and the Sun causes an orbital acceleration upon the Earth. Basic physics.