That only covers the relationship between the Earth & the Sun. There's still the matter of the relationship between the Earth & the Universe.
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I'm not arguing against gravity, only against it being possible to prove whether the Universe revolves around the Earth or not.

You can argue that the room around the pocket watch is proof that the gear tooth is revolving around its' axis, but how do you know the room itself is not spinning without going outside of it and making that observation ?

Interesting topic. There are actually 2 scenarios that must be considered to avoid confusions. One, in which the entire universe with all the 11 dimensions, including space-time, is revolving or more precisely rotating (with respects to a point in our 3 spatial dimensions). And one in which the objects inside the universe are revolving around a central point. Here the rotation of space-time and the universe in total is not the main factor.
All of our observations and evidences suggest that the Cosmological Principle is true; that the Universe is homogeneous and isotropic on large spatial scale and there are no preferred directions or preferred places in the Universe. The local group, which consists of milky way and few other galaxies, lies on outskirts of Virgo Cluster consisting of a few thousand galaxies. But it is a very very small scale. In the large scale the universe is mostly empty and would look the same in any direction you look. Now let's assume a simple rotating universe model where every point in space is rotating around an origin. If the universe rotates with respects to a point in our 3 spatial dimensions - this violates the Cosmological principle as there is now a preferred direction and place. Also those who follow Mach (as Joebert here) may think that a rotating universe is meaningless because if the whole universe is rotating then there is nothing with respect to this rotation can be happening. So there is really no way to prove one way or the other unless we actually go outside of the universe and observe (visually?)! However, GTR shows that a rotating universe would have observable effect that we can detect staying within this universe and we can settle the issue one way or the other. If you fire a laser beam in the so-called empty space-time of a
rotating universe it will appear to travel along a spiral path rather than a straight line. But increasingly precise observations show that this is not the case and we do not have a rotating universe revolving around anything according to
GTR. A rotating universe theory was put forward by Godel around 1949 but later observations of the real universe dismissed this theory.
To consider the 2nd scenario: objects within the universe move around another big object when the Mass of the big object curves the space-time fabric and forces smaller objects moving in straight line to move along the curve instead. There is no such large object on or nearby earth that can cause the entire universe to revolve around it. The uniform expansion of the space-time fabric everywhere at once also suggests strongly that there is no center of the universe.
There is no Center of the universe around which everything revolves. There is the famous balloon analogy that anyone can look up to see exactly how the space-time metric expands and why there is no Center of the universe.
Lastly for both Joe and Prime, the Observer effect or the Collapsing of Quantum Probabilities applies only to microscopic scale; scale much smaller than atoms. Quantum Mechanics has no relevance to macroscopic objects.
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