hipparchos said:
So, starting with the assumption that GR gravity is correct, you have proven GR gravity is correct. Got it.
Not true.
It's pretty trivial to add a modified gravity routine to the standard cosmological codes (i.e. CMBFAST). People have done it. No one has been able to get results that don't require dark matter (dark energy is something different).
The assumption that you put in those models is that gravity is Newtonian at the galaxy cluster scale. Which is to say that the models generally assume that GR (or whatever) only affects the large scales and they use Newtonian calculations as a perturbation. So anything that reduces to Newtonian gravity at cluster scales will work.
Now what about MOND? The trouble is that the MOND people create a different gravity rule for each galaxy so when the cosmologists ask them about what they should put into model gravity at the scale of galaxy clusters, they get blank stares.
One other thing is that there are a number of GR specialists that are convinced that the way of modelling perturbations as "locally Newtonian" is wrong, and they have mentioned the possibility that a lot of what we are seeing are subtle GR effects. No smoking gun however.
Or a different physics, which apparently was not tested by these authors.
There is this thing I call "publication dark matter." It's actually quite trivial to modify a cosmology code to run with an alternative gravity model, and lots of people have done that. If you run with an alternative gravity model, and it doesn't work (and it doesn't) what you end up with is not publishable.
If someone does end up with a calculation in which they put in alternative gravity and get acoustic peaks, that's big news. There's only one group that I know of that has even come close and even they needed some dark matter to make it work.
Let's put it this way: IF GR gravity is correct, THEN you need DM.
1) If any you have any gravitational model that acts like Newtonian gravity at galaxy cluster scales is correct, then you need dark matter (and there is in fact a fair amount of debate as whether or not GR works in this situation.)
2) No one has come up with an alternative gravity model that eliminates the need for cosmological dark matter (and people have tried). It's an easy calculation to do. Maybe a day to do the coding and an hour to run the program.
That's obviously true and non-controversial. But don't pretend you've proven anything by saying that.
Curiously enough that statement is neither obviously true, nor is it free from controversy.
Do a search for "backreaction" on arxiv.org and you have some people that argue that the way that people normally model gravity in these models is wrong.