RUTA said:
The assumption I want to relax (there could be others) is DL = (1+z)Dp in flat space, i.e., the assumed relationship between what we “measure,” luminosity distance (DL), and what we use to define expansion rate, proper distance (Dp).
And that's a perfectly reasonable thing to do. However, one thing that you quickly figure out is that in order to fit the data, you quickly end up with relationships that are not allowed by GR. Basically to explain the data, you have to assume that space is negatively curved more than it allowed by GR.
One other thing is that there are observational limits on what you can assume for DL. You can argue all sorts of weird things for the relationship between DL and Dp, it's much harder to argue for weird things in the relationship between DL and Da (angular distance), and there are observational tests for angular distance. Also, if you have a weird DL/DP relationship then there are implications for gravitational lensing.
But, suppose that DL = (1+z)Dp is only true for ‘small’ Dp. Then the challenge is to find a DL as a function of Dp for a spatially flat, homogeneous and isotropic model (so as to keep in accord with WMAP data)
Whoa. This doesn't work at all...
It's known that you *cannot* come up with a DL/Dp relationship that reduces to general relativity. You try every DL-Dp relationship that is allowed by GR, and it doesn't work. Basically you want to spread out the light as much as possible. If the universe is negatively curved, that spreads out light more, but maximum negative curvature occurs when the universe is empty, and even then, it's not going to fit.
So you can throw out GR. That's fine, but if you throw out GR, then you have to reinterpret the WMAP data with your new theory of gravity, at which point there is no theoretical evidence for a flat, homogenous, isotropic model since you've thrown out the theoretical basis for concluding that there is a flat, homogenous, isotropic model.
The "problem" with the cosmic acceleration is that it's not a "early universe" thing. If you throw out all of the data we have for z<0.5, then everything fits nicely with a decelerating universe. Acceleration only starts at between z=0.3 and z=0.5, and increases as you go to z=0.0. This poses a problem for any weird theory of gravity, because you'd expect things to go in the opposite direction. The higher the z, the more weird gravity gets.
But that's not what we see.
that reduces to DL= (1+z)Dp for ‘small’ Dp and, therefore, doesn’t change kinematics at z < 0.01 (so as not to affect Ho measurements), and that gives a decelerating universe with the SN data.
And then you end up having to fit your data with gravitational lensing statistics and cosmological masers. The thing about those is that they give you angular distance.
Also as we get more data, it's going to be harder to get things to work. New data is coming in constantly, and as we get new data, the error bars go down.
Does this require new physics? Yes, but so does accepting an accelerating universe (requires cosmological constant which is otherwise unmotivated, quintessence, f(R) gravity, etc).
Sure. I don't have a problem with new physics, but new physics has got to fit the data, and that's hard since we have a lot of data. One reason I like *this* problem more than talking about quantum cosmology at the t=0 is that for t=0, you can make up anything you want. The universe was created by Fred the cosmic dragon. There is no data that tells you otherwise.
For cosmic acceleration, things are data driven.
Thus, I’ve been arguing for more theoretical skepticism. By subscribing to the belief that we’ve “discovered the accelerating expansion of the universe,” we’re ruling out theoretical possibilities that involve decelerated expansion
And the problem with those theoretical possibilities is that for the most part they don't fit the data. The data is such that no gravitational theory that reduces to GR at intermediate z will fit the data. That leaves you with gravitational theories that don't reduce to GR, at which point you are going to have problems with gravitational lensing data.
Also, there *are* viable theoretical possibilities that don't involve weird gravity. The most likely explanation of the data that doesn't involve acceleration are that we are in an odd part of the universe (i.e. a local void) or that there is weird evolution of SN Ia. However, in both those cases, one should expect that they become either less viable or more viable as you have new data.
Why would you restrict your explanation of the data to accelerating options when either way you’ve got to invoke new physics?
Because once you try to invoke new physics, you find that it doesn't get rid of the acceleration or blows up for some other reason (so people have told me, I'm not an expert in modified gravity).
Where the signal happens is important. If you tell me that gravity behaves weird at z=1, then I'm game. If you tell me that gravity behaves weird at z=0.1, then you are going to have to do a lot of explaining to do.
Also you don't have to invoke new physics. There are some explanations for the data that invoke *NO* new physics. The two big ones are local void or SN Ia evolution.
That strikes me as unnecessarily restrictive. That’s my point.
And people have been thinking about alternative explanations. The problem is that for the most part, they don't fit the data.
The other thing is that there are some things that have to do with the sociology of science. Working on theory is like digging for gold. There is an element of luck and risk. Suppose I spend three years working on a new theory of gravity, and after those three years I come up with something that fits the data as of 2011. The problem is that this is not good enough. The error bars are going down, so I'm going to have to fit the data as of 2014, and if it turns out that it doesn't, then I've just wasted my time that I could have spent looking for gold somewhere else.
On the other hand if I spend my time with local void and SN Ia models, then even if it turns out that they don't kill cosmic acceleration, I still end up with something useful at the end of the effort.