Question about gravity on the large scale.

[cragar]

I was thinking about olbers paradox and how I could apply it to gravity.
We assume that their are an infinite amount of planets and that they are all about
the same mass or we will just pick a minimum mass. And we assume they are evenly distributed. So the gravitational field falls off as 1/r^2 but the amount of planets grows
as r^2. So If there were an infinite amount of planets or stars or whatever, we would experience an infinite pull, but this would be in all directions so it might cancel.
i guess this is similar to gauss's law. But how would we know where the center is or how would we balance these infinities?

 

[mfb]

We are all in the center of our observable universe with a finite age - and as space looks nearly the same in all directions (if you are at rest with respect to the CMB), you don't get a significant attraction. There are some attracting things if you have a closer look.

 

[cragar]

How would you know you at rest compared to CMB
Would you tell by measuring the frequency.

 

[mfb]

You measure the temperature (which is related to the total intensity) and look for a dipole moment: If the CMB is hotter in direction X and colder at the opposite side, you are moving towards X (relative to the CMB).