EL said:
M.M., you are making a straw-man. Don't try to insinuate I am claiming that WIMPs exist. All I am saying is that there are good hints for its existence.
While I have no problem with you suggesting that there are "good hints" for the existence of 'missing mass', we cannot even be certain of what form that missing mass might take. While I have no real problem with a MACHO oriented explanation for "missing mass", or even a neutrino oriented explanation for 'missing mass' (now that we know that neutrinos have mass), I do have a very huge problem with assuming that this missing mass is in the form of a WIMP. I have a problem with that idea because as far as I know, WIMPS do not exist in nature. That is an extraordinary claim. It would be akin to me jumping to the conclusion that that an object we saw in the sky together, that neither one of us could happen to identity at that moment, is "probably" from another planet. I'll grant you that there seems to be mass that we cannot easily identify, but I have no evidence that this missing mass exists in WIMPS through any controlled scientific test. If and when you find controlled scientific evidence of WIMPS, and can show me tangible properties of WIMPS based on these controlled tests, then I'll be happy to let you suggest that WIMPS might do the trick as it comes to explaining that missing mass problem, and those galaxy rotation patterns.
It seems to me that most of the presumed "dark matter" theories show that the missing mass is found around the outer edge of the galaxy. IMO that is much more easily explained in terms of a MACHOS (that act like a large asteroid belt) than being due to any sort of subatomic particle. It seems to me that a subatomic particle would be more apt to follow the typical mass bodies of a galaxy, since they would presumably be created in, and released from these normal mass particles.
BBN (and CMB data) put an upper limit on the number of baryons.
Well, BBN really puts no upper limit on the number of baryons. The bigger the BANG, the more the baryons. It does put an upper limit on heavy atoms. Even the BBN stage of BB theory however has a serious "problem" in the first second or so of the process. As electrons, protons and neutrons, and other forms of mass began to form, the forces of gravity should have pulled the whole thing back together again in an instant. Without relying upon a metaphysical construct from the start (Guth's theorized inflation field), the whole BBN process would preclude expansion from ever occurring.
Even more interesting is the fact that the CMB data actually shows that there is a "hole" in the universe that should not even exist according to the inflation theory. Form the very first instant, the BANG theory relies upon unproven forces of nature, and these theorized forces of nature have already failed some key observational tests.
MACHOS are baryonic dark matter, and hence cannot make up all the dark matter needed. Moreover, the formation of large scale structures does not work as well.
I don't see the correlation here between baryonic dark matter, and any notion that it "cannot" makeup all the dark matter needed. As far as I know from tangible science, that's the only kind of "dark mass" that you have to work with. There isn't any other form of "dark matter" that I am aware of based on controlled scientific tests.
I really cannot see how you even can see a problem with invoking dark matter in the energy-momentum tensor?
I don't actually have any problem with you invoking MACHOS in the energy-momentum tensor. I have a huge problem with you invoking unproved forms of matter and energy into the energy-momentum tensor however, just as you would have a problem with me invoking non-baryonic invisible potatoes in the energy-momentum tensor. If I cannot provide you with strong evidence of non-baryonic invisible potatoes from controlled scientific experimentation, then I have no business trying to stuff them into a GR based math formula.
What is wrong with postulating a WIMP candidate (of which we of course know the equation of state and can hence plug into the energy-momentum tensor) and then use GR to calculate its consequences? I simply cannot see where you find a problem with this?
But you don't even know the actual energy state of a WIMP, or even if it exists yet. You have a very vague idea here that involves many orders of magnitude of an energy state, and nothing in the way of tangible, physical, empirical evidence to show that it actually exists in nature. You can postulate it's existence if you like, but then you are obligated to show that it actually exists before you point at distant events and claim that WIMPS did it.
Yes, we assume e.g. a WIMP model. The model tells us it has the same properties as ordinary matter (i.e. the same equation of state). Then we use GR. Again, where is the problem?
The problem is that you have never demonstrated that WIMPS physically exist in reality. You don't have any empirical evidence that WIMPS even exist, and no known form of mass acts like a WIMP. That's the problem.
Yes, GR includes a cosmological constant term. Wheter or not it should be put to zero is up to experiments to decide.
"Pure" GR (GR without metaphysical constructs), does not require any sort of 'constant' to describe the gravitation attraction of the energy-momentum tensor. It works fine with real mass made of real particles to describe the gravitational attraction properties of matter. If there are other forces of nature acting on objects of mass, those forces of nature probably have "properties" that are based on the specific type of energy involved, and GR would not be necessary to describe these forces. GR is great for describing the attraction force of mass objects. There is no evidence that GR *should* be used to try to describe all the external forces of nature that act on mass as one big gargantuan math formula. If the external influences on matter are EM oriented, perhaps Alfven's MHD theories would be better suited when it comes to doing the math.
There's a bigger problem however. The math we have done with Lambda-CDM theory turns out to have a gaping hole in it, despite a nearly homogeneous prediction of inflation.
I can see why Einstein called the introduction of this constant as his greatest blunder, because even if there are external forces of nature acting on mass bodies, these forces will have mathematical properties that are directly related to the force involved, that are not necessarily even related to the gravitational component. IMO the Lambda-CDM theory isn't "pure" GR. It's a loosely GR oriented theory with a liberal dose of metaphysics mixed in, it's about 96% metaphysics in fact.
MOND theories have problems explaining all scales at the same time. (Also, they of course provide no solution to the hierarchy problem.)
MOND theorists, and modified gravity theorists seem to disagree with you. WIMP theories have serious problems explaining all time scales at the same time as well, particularly that first serious problem about showing that they actually exist in nature.
Then you need to do some reading.
Go on and calculate the relic density and structure formation scenario for your potatoes. Also make sure they can explain the astronomical observations on all scales, and that they are not already excluded by existing experiments. Please also motivate their existence by something totally unrelated to dark matter. (I guess the hierarchy problem won't work here though...)
I think you're taking my statements a bit too literally here. I don't actually have any faith in invisible potatoes, or WIMPS or axions, or anything 'invisible' to physics here on earth. As I suggested earlier, if and when you can show me evidence that WIMPS actually exist in nature, and you can demonstrate their influence on photons and protons and neutrons and electrons in controlled scientific tests, then I'll be happy to entertain WIMP theories. Until then, I will consider WIMP theories to be pretty "wimpy, wimpy, wimpy". :) Sorry, I just couldn't resist.
I absolutely have no philosophical problem with you inserting baryonic mass (MACHOS) into GR theories. It's only when you attempt to insert unproven entities into GR that I get uncomfortable. Extraordinary claims require extraordinary evidence. If you claim that non-baryonic forms of mass exists, the onus of responsibility to demonstrate your claim falls to you. That is how science has always worked, and I'm not asking for the moon here. As long as you keep inserting things like DE, (non baryonic) DM and inflation into GR, I'm going to require that you demonstrate that these things actually exist in nature. I will willingly let you toss MACHOS or neutrino mass into GR and mix them liberally. I will however require additional empirical evidence of any other form of "dark matter" that you might attempt to toss into GR. It seems like this is a very fair and reasonable request on my part since it SOP for all areas of science, not simply astronomy.