This is the same reason why, if you place an atomic clock at the bottom of a building and an identical atomic clock at the top, you’ll find that they run at slightly different rates. It’s not that one clock is flawed; it’s that the non-zero curvature of space makes it so that different observers disagree as to what makes a good “clock” at any location other than their own!
Ask Ethan: Can gravitational waves let us peek inside a black hole?
Ethan Siegel
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Interesting and cool.