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In theory, generating a microscopic alternative centre of gravity within close proximity of the earth's natural gravity could generate shockwaves through the very mantle of the earth, disrupting the flow of the earth's core and forcing molten rock up through the faultlines between the plates.
One of the most likely places to suffer would be the San Andreas Fault, and the effects could also be felt in Yellowstone. Other problems could also be felt along the other faultlines, and areas of volcanic activity. The force could even re-awaken some of the long-dead calderas.