From a general relativistic point of view, a person on the ground floor of a skyscraper ages...faster or slower than a person on the top floor?

With the faster movement of the rotation of the earth at the higher altitude, the person on the ground floor would age faster than the one on the top. However, the difference would be insignificant.

However, since this is not my area of expertise, I searched Google under the key words "relativity time" to get these possible sources:

http://www.phys.unsw.edu.au/einsteinlight/
(Broken Link Removed)
http://www.time.com/time/time100/poc/magazine/a_brief_history_of_rela6a.html
http://www.ram.org/ramblings/science/time_is_relative.html

I hope this helps. Thanks for asking.

From a general relativistic point of view, time dilation is a phenomenon where time moves differently for objects at different speeds or in different gravitational fields. In the case of a person on the ground floor of a skyscraper compared to a person on the top floor, there would be a slight difference in their perceived aging.

According to general relativity, time moves slower in stronger gravitational fields. So, due to the closer proximity to the Earth's gravitational field, the person on the ground floor would experience time passing slightly slower than the person on the top floor.

However, when considering the rotation of the Earth, the person on the top floor actually moves faster in space compared to the person on the ground floor (due to a larger radius of rotation). This effect would cause time to move slightly slower for the person on the top floor, according to the theory of special relativity.

The combined effects of the gravitational time dilation and the special relativity time dilation due to Earth's rotation would result in the person on the ground floor aging slightly faster than the person on the top floor. However, the difference would be incredibly small and practically negligible in everyday life. The effect of general relativity on time becomes more pronounced in extreme conditions such as near black holes or at very high speeds.

If you want to explore this topic further, I would recommend researching general relativity, time dilation, and the effects of gravity on time. You can start with the sources mentioned earlier, or you can search keywords like "general relativity time dilation" or "time dilation in skyscrapers" to find more specific information.