Notes on Relativity and Cosmology - Physics Department, UCSB
Notes on Relativity and Cosmology - Physics Department, UCSB
Notes on Relativity and Cosmology - Physics Department, UCSB
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10.4. OBSERVATIONS AND MEASUREMENTS 305<br />
the answers favor roughly Ω normal matter = .1, – the stuff we can see plus a<br />
little bit more. As a result, this means that the dark matter is not made up of<br />
normal things like prot<strong>on</strong>s <strong>and</strong> neutr<strong>on</strong>s. By the way, physicists call such matter<br />
‘bary<strong>on</strong>ic 3 matter’ so that this fact is often quoted as Ω bary<strong>on</strong> = .1. A lot of this<br />
may be in the form of small not-quite stars <strong>and</strong> such, but the important point<br />
is that at least 75% of the matter in the universe really has to be stuff that is<br />
not made up of prot<strong>on</strong>s <strong>and</strong> neutr<strong>on</strong>s.<br />
So, what is the dark matter then? That is an excellent questi<strong>on</strong> <strong>and</strong> a subject<br />
of much debate. It may well be the case that all of this unknown dark matter<br />
is some strange new kind of tiny particle which simply happens not to interact<br />
with regular matter except by way of gravity. A number of ideas have been<br />
proposed, but it is way too early to say how likely they are to be right.<br />
10.4.5 Putting it all together<br />
The last part of our discussi<strong>on</strong> is to put all of this data together to see what the<br />
implicati<strong>on</strong>s are for Ω Λ <strong>and</strong> Ω matter . I will give you a h<strong>and</strong>out with some graphs<br />
showing a lot of this data. Many of these graphs (<strong>and</strong> some other stuff) come<br />
from from a talk given by Sean Carroll. The transparencies for his talk are<br />
available <strong>on</strong> the web at: (http://pancake.uchicago.edu/ carroll/talks/ltalk/).<br />
You can look them up if you want to see the data before I get around to h<strong>and</strong>ing<br />
it out.<br />
These graphs show that that each of the three measurements put some kind<br />
of c<strong>on</strong>straint <strong>on</strong> the relati<strong>on</strong>ship between Ω matter <strong>and</strong> Ω Λ , corresp<strong>on</strong>ding to a<br />
(wide) line in the Ω matter − Ω Λ plane. You can see that, taken together, the<br />
data str<strong>on</strong>gly favors a value near Ω matter = .4, Ω Λ = .6. That is, 60% of the<br />
energy in the universe appears to be vacuum energy!<br />
Now, what is really impressive here is that any two of the measurements would<br />
predict this same value. The third measurement can then be thought of as a<br />
double-check. As the physicists say, any two lines in a plane intersect somewhere,<br />
but to get three lines to intersect at the same point you have to do something<br />
right.<br />
This means that the evidence for a cosmological c<strong>on</strong>stant is fairly str<strong>on</strong>g –<br />
we have not just <strong>on</strong>e experiment that finds it, but in fact we have another<br />
independent measurement that c<strong>on</strong>firms this result. However, the individual<br />
measurements are not all that accurate <strong>and</strong> may have unforeseen systematic<br />
errors. So, we look forward to getting more <strong>and</strong> better data in the future to see<br />
whether these results c<strong>on</strong>tinue to hold up.<br />
We are in fact expecting to get a lot more data over the next few years. Two<br />
major satellite experiments (called ‘MAP’ <strong>and</strong> ‘PLANCK’) are going to make<br />
very detailed measurements of the Cosmic Microwave Background which should<br />
really tighten up the CMB c<strong>on</strong>straints <strong>on</strong> Ω matter <strong>and</strong> Ω Λ . It is also hoped that<br />
3 Prot<strong>on</strong>s <strong>and</strong> neutr<strong>on</strong>s are examples of a class of particles that physicists call ‘bary<strong>on</strong>s.’<br />
Bary<strong>on</strong>s are particles that are made up of three quarks.