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There is a chance that the gravitational force is just like electromagnetism but associated to the symmetry under changes of coordinates charts (you don't want physics to be different in a point than in another)... but then, it remains to be determined what could provide you with a notion of distance. It is suggested by the ER=EPR hypothesis that quantum correlations could be responsible for making those links between neighboring particles, and even by distant ones (that are entangled but are around distant blackholes, creating wormholes around them)
