What Is Gravitational Time Dilation and How Does It Work?

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If you have two precise clocks, and you position one of them further away in the gravitational field, say some tower if your experiment is here on earth, it will run faster then the other one. It is been experimentally verified on numerous occasions.

Gravitational time dilation is inseparable from gravitational redshift/blueshift.

You have many threads about it in SR/GR forum.
 
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