One thing I have been struck by this semester is how full the universe is, but at the same time, how empty it is. When we look up at the night sky, even in ideal conditions with excellent eyesight, we would see at most a few thousand stars. That gives you some perspective when I tell you that there are 200 to 400 billion stars in our galaxy. That means there are a hundred thousand thousand times the number of stars in our galaxy than what you can see in the night sky. Even that number is nothing compared to the number of stars there are in the universe. Estimates for the number of galaxies range from 100 billion to 1 trillion galaxies, and each galaxy has 100 billion to 1 trillion stars in it. If you multiply those two numbers together, you get an estimate for the total number of stars from 1022 to 1024. For a bit of reference, that is about an Avagadro’s number (6.022 x 1023) of stars. When you include all of the planets, dust, gas, and dark matter, the universe seems incredibly full of stuff. However, when you think about the massive size of the universe, it seems empty.
We don’t know how big the entire universe is because we cannot see all of it. We can only see stuff that is close enough for the light to have had time to reach us. So, we must focus on what we can observe, appropriately named the observable universe. The observable universe is a sphere centered around Earth with a radius of about 46 billion light years. If you really want to know, that means the volume of the observable universe is around 4 x 1032 ly3. If the stars were distributed evenly across the universe (they aren’t), each star would have its own 4 billion cubic light years. On the other hand, if galaxies are distributed evenly across the universe (a more reasonable assumption), each galaxy would have its own 4 x 1020, or 400 quintillion cubic light years. To get a sense of how mind-blowingly huge the universe is, watch this “Flight through the Universe” video. Incidentally, a commenter calculated you’d have to be moving around 1.26 quadrillion times the speed of light to get this effect.
Of course, this doesn’t really affect us. We aren’t going to be travelling between galaxies, and down here on Earth, everything is nice and dense. You’ve got your ground and your trees and your buildings and everything, so no unbelievably huge spaces here, right? Well, on a human scale, yes, everything if fairly compact. However, if you get incredibly small, say atomically small, huge empty spaces start to appear. The nucleus of atom, which contains most of the mass of the atom, is only about 1.1 x 10-14% of the total size of the atom. Most of the atom is just space, defined by the electrons.
So, yes, the universe is weird.










