One of the really historic events of the last decade is our discovery that other planetary systems exist. The question "Are there planets around other stars?" is thousands of years old, and we finally know the answer is "YES!"
I discussed this a month or two ago. And while this is a huge advance, we still don't have any idea how common planetary systems are. Do all stars have planets? Only a few? We just don't know yet.
This is relevent for our present discussion, as life as we understand it requires a planet.
The problem of timescales comes up again here. If most of the life in the Universe is single-celled organisms, we don't have any good way of finding it outside our Solar System. The only life we are likely to find is life we can communicate with. This brings us to the Search for Extra-Terrestrial Intelligence, or SETI.
One of the only relevant questions we can ask in SETI is "How likely is it that there are other civilizations in the Galaxy for us to communicate with?"
Now that the question is on the table, how do we go about answering it?
We can't answer it directly. We don't know enough. But we can at least figure out a way of asking the question that tells us what we need to try to figure out. This is typically couched in terms of something called The Drake Equation:
N*: The number of stars in the Galaxy. This is about 2x10^11 (200 Billion).
fp: The fraction of those stars with planets. We now know this isn't 0. It probably isn't any more than 0.5, because about half of all stars are in binary systems, and planets that form in binary star systems are probably tossed out of the system relatively soon (much like Jupiter tossed out Oort cloud objects.
n_lz: The number of planets in a given planetary system that are at the right distance for conditions to be favorable for life. We have no idea what this number is, really. Maybe 1-2.
f_L: The fraction of such planets on which life actually arises. This could be anywhere from 0 (life doesn't arise) to 1 (life always arises when conditions are good).
f_i: The fraction of planets with life on which that life evolves intelligence. Again, this could be anything from 0 to 1.
F_s: For those planets with intelligent life, what fraction of the lifetime of the star does the technologically advanced civilization survive? This could be as small as essentially 0 (technologically advanced civilizations destroy themselves quickly), or maybe as long as 0.5. If we survive until the Sun turns into a Red Giant, our F_s would be about 0.5. Well, if you've been keeping score, you will have noticed that we have a string of six numbers, one of which we have a good handle on (N*). One of them we are starting to be able to figure out (Fp). And the other four are total guesswork. In other words, if we make optimistic guesses, then we conclude that N_c is perhaps as large as 10 Million. And if we make pessimistic guesses, then we conclude that N_c ~ 0.
So the Drake Equation doesn't give us predictive power, so much as it gives us a structure for studying the problem. It tells us what we don't know, and what we have to try to understand, in order to make any progress.
Search for Extraterrestrial Signals
The most promising part of the spectrum to use for this is the radio regime. This is because radio waves are not absorbed by interstellar dust, so signals will make it clear across the Galaxy (given enough time).
Now, think about the implications of this for a minute. This means that there could be guys sitting in an extra-terrestrial frat house on a planet around some star 35 light years away, tuning into Gilligan's Island. Or opera fans 90 light years away listening to Enrico Caruso. We've been leaking low-power radio signals for the better part of a century.
There have been small pilot programs designed to search for such signals from other stars. But we haven't found any yet. This isn't much of a constraint though. There are LOTS of stars, and there is a lot of bandwidth (you have to tune your radio to the right station, after all).