You didn't like the joke with your balls being the center of the universe? Duh.
As much as it's hated by all, let me break it down:
I never said anything about constant velocity. I never disputed acceleration. I'm saying that the yellow galaxy in that image should be moving away from us faster than the blue. If we could find a galaxy that we think is between the blue and the orange it should not be moving away from us as much as the yellow and it will not be moving away from us as fast as the blue or orange... that would be a vector of origin... a point we are expanding into, have expanded from or a point that is expanding parallel to us.
We can measure this. As it was said many times before. All the distant galaxies are receeding away from our vantage point on Earth. There is no other component. We are the origin of the expansion.
If there's no point of origin, the big bang is false... I feel like I'm talking in circles here... If the whole universe was at one point smaller and we are expanding, there is a point where we were before and we are expanding into another point where we will be. That movement denotes an origin point where we were.... you collect enough data and you should be able to find a direction for which the universe is expanding from because we are being pushed away form galaxies that are being pushed away from other galaxies... the longer this goes, the more of a picture we get.
The BB requires there being no point of origin. Therefore, if there isn't one, then it's something that validates the theory, not disproves it.
1. If we are only a small dot on a round plain of expansion (I'm not talking about 4 dimension, just three) like our galaxy was some human on the face of an expanding Earth and all humans are galaxies... we should be able to look at all the humans and see we are all moving away from some point and point toward the center of Earth and say it started there. (This is not what I imagine the big bang is saying... just an example)
This is a bad example, because you're thinking of a third dimension while analysing an essentially two dimensional space(surface of the earth). If you'd place yourself in a position of being able only to perceive the surface itself, then you wouldn't be able to name any single point on that surface as being the origin of the expansion.
2. If the universe is homogenous and all galaxies are expanding away from each other consistently and unmoving the "corners" of some imaginary box would be moving away from us faster than the faces. The "core" of the universe or the center or the origin or the beginning of expansion or whatever you want to call it would be at the point of least expansion because these would not be pushed as much as those on the edges. The galaxies would remain in the same parts of the sky but get further away. This is what I imagine the big bang is saying. This is what I'm trying to "prove" by measuring the differences in red shift.
That's true. The corners of any arbitrary cube of space are moving away faster(from the point in the middle)than the rest of it. What it appears to be showing, is that the central point of the cube is the origin of the expansion. But if you'll switch your observation point(move the cube) so that the once-corner is now at the center, the redshift measurements will still show that the center of the universe is at the center of the new cube. Does it mean that there are two centers then? In a way, yes. There are as many centers of the universe as there are points in space, which is just as meaningful as saying that there is no single center of the universe.
I don't get 3, I'm afraid.
4. Every galaxy is expanding away from each other at the same rate. This would cause some galaxies to have to adjust so they don't expand into other galaxies and they would move in the sky to show that movement. It would be like blowing bubbles in water... the bubbles would all flow out from the center point where you are blowing the bubbles, but they would flop into empty spaces like the cone example above trying to keep as close to the center point as possible. (Again, not what I think the big bang is.)
The rate of expansion is constant in the sense that there is a constant factor by which each "bit" of space stretches. If there is more space in between any two objects than between some others, then the first pair receeds faster from each other than the second(more space is created).
There is no need for any adjustments. The space between any two galaxies is expanding, so if anything, they are all receeding from each other, no matter which galaxies you look at.
And now the conversation is back to the idea that we are not moving again... take the dough example... the dough is expanding, but at one point that now baked bread is bigger than the dough ball it started as. That movement of raisins is measurable.
But if the dough is infinitely large, then there are infinitely many points that you could point to and call the center. Makes no sense.
Look, try thinking of BB in this way:
All the universe, all the matter and space, both possibly infinite, existed since the begining. The only thing that changed was the density of the universe - the amount of matter per unit of space(e.g. kg/m3 or hydrogen atom per light year cubed) was higher before than it is now. Still, the universe was just as "large" - that is, you could go in any one direction and never reach the end of it.
What the BB postulates, is that the density begun to fall rapidly, as the space begun to inflate, creating the effects that we can observe now - the redshifts and bacground radiation.