Clocks at the top of a tower run slightly faster than clocks at the bottom of the tower because clocks that are deeper within the gravitational field, closer to the gravitational mass, run slower due to gravitational time dilation. How fast would clocks run in the vast intergalactic voids where there is much less gravitational mass floating around? If there was sufficient "time compression" perhaps that could explain the observed accelerated expansion of the universe without the need to require dark energy as a repulsive force? :shrug:
What you are saying is a fact, clocks run slower in gravitational fields and when otherwise accelerated. However, the accelerating expansion, attributed th the "mysterious" dark energy could also be the result of the inverse square law. As the galaxies and galaxy groups separate, whether that is due to new space being added between them or due to their own separation momentum, the inverse square law, if it applies, would make the gravitational attraction decrease, thus allowing the separation momentum to gain the upper hand and cause acceleration in the rate of separation.
Khan . . . good OOB point (observation?) . . . that what 'appears to be expanding' is just that . . . . "appearance" based on our 'apparent' (and relative, from our POV) measurements.
The raw redshift data is pretty conclusive. The galaxies and galaxy groups are moving away from each other. So it is not just an "appearance", it is sound science.
http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/gratim.html \(T = \frac{T_0}{\sqrt{1-\frac{2GM}{Rc^2}}}\) :shrug:
