Here is the full transcript of cosmologist Sean Carroll‘s TEDx Talk on Cosmology and the Arrow of Time at TEDxCaltech conference.
The Universe is really big. We live in a galaxy, the Milky Way Galaxy. There are about a hundred billion stars in the Milky Way Galaxy, and if you take a camera and you point it at a random part of the sky, and you just keep the shutter open, as long as your camera is attached to the Hubble Space Telescope it will see something like this. Every one of these little blobs is a galaxy, roughly the size of our Milky Way. A hundred billion stars in each of those blobs, there are approximately a hundred billion galaxies in the observable Universe. A hundred billion is the only number you need to know, the age of the Universe between now and the Big Bang is a hundred billion in dog years which tells you something about our place in the Universe.
One thing you can do with a picture like this is simply admire it, it’s extremely beautiful, and I’ve often wondered what is the evolutionary pressure that made our ancestors develop, adapt, and evolve to really enjoy pictures of galaxies, when they didn’t have any. But we would also like to understand it, as a cosmologist I want to ask, “Why is the Universe like this?” One big clue we have is that the Universe is changing with time.
If you looked at one of these galaxies and measured its velocity, it would be moving away from you, and if you look at a galaxy even further away, it will be moving away faster. So we say that the Universe is expanding. What that means, of course, is that in the past, things were closer together. In the past, the Universe was more dense, and it was also hotter, if you squeeze things together the temperature goes up. That makes sense to us.
The thing that doesn’t make sense to us as much is that the Universe at early times, near the Big Bang, was also very, very smooth. You might think that’s not a surprise; the air in this room is very smooth, you might say: “Well, these things smooth themselves out.” But the conditions near the Big Bang were very, very different than those of the air in this room. In particular, things were a lot denser, the gravitational pull of things was a lot stronger near the Big Bang.
What you have to think about is, we had a Universe with a hundred billion galaxies, a hundred billion stars each, at early times, those hundred billion galaxies were squeezed into a region about this big, literally at early times; you had to imagine doing that squeezing without any imperfections, without any little spots where there were a few more atoms than somewhere else, because if there had been, they would’ve collapsed under the gravitational pull into a huge black hole.
Keeping the Universe very, very smooth at early times is not easy. It’s a delicate arrangement. It’s a clue that the early Universe is not chosen randomly, there was something that made it that way, and we would like to know what. So part of our understanding of this was given to us by Ludwig Boltzmann, an Austrian physicist in the 19th century, and Boltzmann’s contribution was that he helped us understand entropy.
You’ve heard of entropy, it’s the randomness, the disorder, the chaoticness of some systems. Boltzmann gave us a formula, engraved on his tombstone now, that really quantifies what entropy is. It’s basically just saying that entropy is the number of ways we can rearrange the constituents of a system so that you don’t notice. So that macroscopically, it looks the same. In the air in this room, you don’t notice each individual atom.
A low entropy configuration is one where there are only a few arrangements that look that way. A high entropy arrangement is one that there are many arrangements that look that way. This is a crucially important insight, because it helps us explain the second law of thermodynamics; the law that says that entropy increases in the Universe, or in some isolated bit of the Universe. The reason why the entropy increases is simply because there are many more ways to be high entropy than to be low entropy. That’s a wonderful insight, but it leaves something out.
This insight that entropy increases, by the way, is what’s behind what we call ‘the arrow of time, ‘ the difference between the past and the future. Every difference that there is between the past and the future is because entropy is increasing. The fact that you can remember the past but not the future. The fact that you are born, and then you live, and then you die, always in that order, that’s because entropy is increasing. Boltzmann explained that if you start with low entropy, it’s very natural for it to increase because there are more ways to be high entropy.
What he didn’t explain was why the entropy was ever low in the first place. The fact that the entropy in the Universe was low, is a reflection of the fact that the early Universe was very smooth, we would like to understand that, that’s our job as cosmologists. Unfortunately, it’s actually not a problem we’ve been giving enough attention to. It’s not one of the first things people would say if you ask a modern cosmologist what are the problems we’re trying to address. One of the people who did understand this problem was Richard Feynman.