IIRC, for R2 > R1, and the potential function going as 1/r, one can integrate from R1 to R2 to get the total added PE when moving against the gravity field between those distances. But the PE is undefined if we integrate from R = 0. If this is correct, it seems that the PE for a point mass is undefined, and it's therefore impossible to equate it with the rest energy of the gravitating mass, to get a total energy for the rest mass as zero. AG
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