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This is a thought experiment that just popped up in my head, please excuse any layman inaccuracies.
Imagine the largest, most massive galaxy in the entire universe. Let's hypothesize that it is at a great distance from earth, beyond the edge of the observable universe. Now, since all objects with mass attract each other through gravity, my own body will attract this galaxy a tiny bit.
In my mind, it seems like the distance the galaxy moves towards me because of my gravitational pull should be less then a Planck length. If so, how can this be? And if not, how small an object would it take to move the galaxy less than a Planck length?
Imagine the largest, most massive galaxy in the entire universe. Let's hypothesize that it is at a great distance from earth, beyond the edge of the observable universe. Now, since all objects with mass attract each other through gravity, my own body will attract this galaxy a tiny bit.
In my mind, it seems like the distance the galaxy moves towards me because of my gravitational pull should be less then a Planck length. If so, how can this be? And if not, how small an object would it take to move the galaxy less than a Planck length?