blighty said:
What background are we talking about here? maybe this is were I am becoming confused, the way i`m interpreting the balloon theory is that it`s this background that is expanding and carrying the mass with it,
Please don't call it a balloon theory. The balloon is an analogy, and is not precisely representative of the theory.
With that out of the way, consider a one-dimensional case. Imagine a simple number line like so:
Imagine that the above numbers represent positions. Now, if H
0 is equal to 2 in these units, then the velocities associated with each of these points will be:
This is what uniform expansion looks like: the recession velocity is proportional to distance. Now, then, what happens if I move over to the right one step? I'll re-write the position number line so that the "zero" point is now one position to the right:
See how it looks the same, just shifted? And what happens if I'm also now at rest with respect to the new point, so that the local velocity is zero? Then I just shift the velocity number line by subtracting the velocity at one position to the right, which is equal to +2:
Again, it looks exactly the same, just shifted.
So, then, what happens if I'm sitting at some "zero", but am moving with respect to the background? I could measure this by comparing the recession velocities in one direction to those in another: if I'm not moving with respect to the background, the recession velocities should be identical (on average) in every direction. If I am moving, then they won't be. So if I look around, and the recession velocities are much bigger in one direction, then I'm moving with respect to the "cosmic rest frame".
This would be the equivalent of having a position number line that looks like:
...but a velocity number line that looks like:
In this situation, we would be seen to move towards the right on the number line (since at the local point, the velocity of stuff in the universe is -2, the universe is moving to the left, which is the same as us moving to the right). And as we move to the right, stuff will be moving a little bit less to the left and more to the right, so we slow down. This continues until we slow to the point where we're stationary with respect to everything else. Until when we measure the positions and velocities of stuff around us and see something like:
Did that help?