Cosmology: the History of the Universe

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Transcription:

Cosmology: the History of the Universe Lorenzo Sorbo UMass Amherst Freshman Colloquium 11/13/2006

A preliminary warning: COSMOLOGY IS NOT COSMETOLOGY! Cosmology: The science or theory of the universe as an ordered whole, and of the general laws which govern it. Also, a particular account or system of the universe and its laws. Cosmetology: The art and practice of beauty culture

Things people have always wanted to know about the Universe Did it exist forever or it had a beginning? Is it finite or infinite? What is it made of? How is it going to end?

Babylonian map of the world, ~700 BC Cosmology today is a science that has some answers to these questions. Let us see them

Birth of modern ( scientific ) cosmology -1905-16: Einstein formulates his theory of General Relativity Laws that describe gravity for very big very dense very fast objects -1917: he tries to apply his theory to the whole Universe Did the Universe have a beginning?

What does he get from his equations? The Universe should be expanding!...but at that time, people were thinking that the Universe was static... Einstein concludes that his equations must be wrong: He adds them an extra term (the cosmological constant) to get a static Universe Did the Universe have a beginning?

...a few years later (1929) Edwin Hubble discovers that galaxies are going away from us with a velocity proportional to their distance! Did the Universe have a beginning?

This is exactly what we expect to see if the Universe is expanding (More or less the same thing that you would see if you were a raisin in a cooking raisin cake and you were looking at the other raisins) t=0 t=1 hour Did the Universe have a beginning?

...and so Einstein was right in his first result and was wrong when he modified his equations, adding the cosmological constant The biggest blunder of my life Did the Universe have a beginning?

If things are flying away from each other, it means that they should have been closer to each other in the past there was a moment when the Universe was infinitely dense! (about 14,000,000,000 years ago...) Did the Universe have a beginning?

Did the Universe have a beginning?

Is it finite or infinite? The speed of light is finite (299,792,458 m/s) & The age of the Universe is finite (~14 billion years) We can only see a finite portion of Universe (speed of light) (age of the Universe) It has no sense to ask what is at larger distances 100,000,000,000,000,000,000,000,000 26 meters meters We cannot know whether the Universe is finite or infinite Is it finite or infinite?

What is it made of? Of course, of the same stuff WE are made of! Neutrons, protons, light, neutrinos, electrons... Is this all? What is it made of?

Galaxy rotation curves In the 30s people started measuring the speed of stars that rotate around galaxies r v What is it made of?

The velocity of the star depends on the quantity of matter between the star and the center of the Galaxy: Newtonian attraction to =GmM/r 2 the center of the galaxy Newton constant distance from center of galaxy mass enclosed between star and center of galaxy Centrifugal force =mv 2 /r mass of the star velocity of the star equating them: v= GM/r What is it made of?

Results of measurements: measured v(r) v(r) if there was only luminous matter in the galaxy What is it made of?

How to explain this? Zwicky (1933): galaxies live in a halo of DARK MATTER Dark matter behaves like dust It is not ordinary matter We do not know what it is (but we have candidates) It interacts very weakly (if at all) with ordinary matter Galaxies contain roughly five times more dark matter than ordinary matter What is it made of?

How do we imagine the dark matter halo: Galaxy Dark matter halo Note: this is an artist s view! Since we have not observed dark matter, we do not have pictures of halos! What is it made of?

What does theory tell us? We quantify the amount of matter per unit volume by defining a quantity called Ω Ω=0 no matter at all Ω<<1 low matter density Ω>>1 high matter density Ordinary matter+dark matter give Ω 0.3 What is it made of?

Why do we care about Ω? Because it depends on time, and Ω=1 is an unstable equilibrium point: evolution of the Universe brings Ω away from 1 If Ω is close to 1 today, it should have been VERY close to 1 in the past! What is it made of?

If Ω=0.3 today, then Ω should have been equal to 0.99999999999999999993 when the Universe was 1 second old! Much more elegant to assume Ω=1, always...but where is the remaining matter that allows us to go from Ω=0.3 to Ω=1? A mystery until 1998 What is it made of?

In 1998, two groups studied the luminosity of Type 1a supernovae (a certain type of star) to see how the speed at which the Universe is expanding changes with time What is it made of?

What did they look at: expansion of the Universe Distance Velocity What is it made of?

We call ΩM the contribution to Ω from ordinary + dark matter (we know ΩM 0.3) We call ΩΛ anything else...so that Ω = ΩM +ΩΛ ΩM=0.3, ΩΛ=0.7 They find that indeed Ω=1! ΩM=0.3, ΩΛ=0 What is it made of?

The cosmic budget We have no idea what this stuff is, neither we know what it looks like We know exactly what this part is We do not know what it is, but we have an idea how it looks like What is it made of?

What are the properties of DARK ENERGY? It is smoothly distributed EVERYWHERE (everywhere there are about 10-29 g/cm 3 of dark energy, i.e. this room contains about 10-20 g=0.00000000000000000001 g of dark energy) It looks a lot like Einstein s cosmological constant It does not dilute away as the Universe expands What is it made of?

How is it going to end? Well, do not know!...but if dark energy is really something that does not dilute away, eventually the Universe will end up being basically empty all other forms of matter will have diluted away, and we will be left with a Universe full only of dark energy. No Galaxies, no Stars, no Planets... How it is going to end?

...quite sad......but we have about 100.000.000.000 years before we start worrying! How it is going to end?

What can we do in the meanwhile? Try to understand better what is out there! With accelerator experiments

The Large Hadron Collider in Europe will start taking data in 2007. It might produce dark matter particles

What can we do in the meanwhile? Try to understand better what is out there! With accelerator experiments With astronomical observations

Many new observations are expected in the next few years to further improve our knowledge of what is out there

What can we do in the meanwhile? Try to understand better what is out there! With accelerator experiments With astronomical observations With more refined theories

Sometimes Theory can get where experiments cannot get!

Conclusion Cosmology tells us many things about the Universe Now we know how much matter is out there We still have to understand WHAT is the 95% of all matter in the Universe