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Clocks in a gravitational field do not all run at the same rate. Experiments such as the Pound-Rebka experiment have firmly established the distortion of the time component of spacetime. The Pound-Rebka experiment says nothing about curvature of the space component of spacetime. But the theoretical arguments predicting gravitational time dilation do not depend on the details of general relativity at all. Any theory of gravity will predict gravitational time dilation if it respects the principle of equivalence. This includes Newtonian gravitation.

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