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But that is not the same setup. The setup here is: a body on the surface of a much larger body: is there pushing or pulling?

I suggest to GP to consider the body lifted and then released. The body is moving back towards the larger body. It meets a rigid boundary and comes to rest (or bounces ..) When did the ground start "pushing" the body? It seems the smaller body was being acted on by something (we say curved space) which is motivating it towards the center of the gravity of the larger body. This motivation (spatial deformation or force, whatever) doesn't cease and the rigidity of the larger body is engendering the equal opposing 'force' pushing back against it.



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