[fretn]

Forgive me my ignorance but does that mean that you age at a different speed at the moon compared to earth ?

[slow_typist]

Exactly. Look up the twin‘s paradox - https://en.m.wikipedia.org/wiki/Twin_paradox

[thaumasiotes]

You age at the same speed. Stuff that is far away from you may age more or less rapidly, but that effect only exists at the point where some kind of communication travels between you and the faraway stuff.

[soneil]

Technically yes - but the difference amounts to 2 seconds per century. Your lunar clone would be younger than you, but the difference would be less time than you spent calculating the difference.

[Zecc]

I've heard that due to time dilation time runs slower inside the Earth's core, enough to make it a couple of years younger than its surface.