I am back at graduate school after visiting home for the holidays. While it was nice to catch up with people, it was a little depressing to realize that almost nobody has any idea of what I actually do. Whether it is old friends from high school, my family, people that talked to me on the plane, even my roommates here at graduate school; most people are unsure, at some level, of what it is exactly that theoretical astrophysicists do. I find that there are mainly two levels of confusion:
I) Quite confused. When I say I am studying astrophysics, these people say, cool! So, you want to design airplanes? No? Then, spaceships! (This is by far the most common response. But once, when I told someone sitting next to me on a plane that I am studying cosmology…see title.) These are not uneducated people, either; most of them are very smart, with college educations, and all of them are capable of understanding what we do (at least, that is what I like to believe). So at some level, the methods used to communicate even the basics of our science to the public – popularization through books or news articles, museums, public lectures, etc. - are very broken.
II) Just a little confused. These people know enough to ask me, so, what is up with the big bang? Have you found that Higgs boson yet? Or, tell me about string theory! But, they still hold misconceptions about how science works. They’ll say, oh, cosmology is nice, but in the end, you can’t really prove anything, right? It is almost like philosophy. I have heard this view many times from many people. Apparently, cosmologists sit at a desk, smoke pipes, and make up stories about how they think the universe began. Whoever thinks up the nicest story wins. Then they will write up fancy articles – e.g., “A Discourse on the Cosmological Theory of Turtles All the Way Down” – that contain nice ideas, but are just creation myths in the end. So you see, cosmology is just another one of the liberal arts.
So, what’s wrong with this picture? I think that Type I is mostly a failure of our public education system. Physics (and other sciences) as taught at the public high school level is a joke at best and a tragedy at worst. Mostly, high school physics fools people into thinking physics is difficult and consists only of inclined planes and pulleys, while teaching them nothing that is actually challenging or inspiring at all. In college, physics is rarely required; by this time, it is usually too late anyways, and more courses just end up making the problem worse. Attempts to fix the problem with science popularizations and news articles are futile, because nobody will read more about something they have already been taught to hate. These symptoms manifest even at places such as my alma mater, which is supposed to be a bastion of science education. The Type IIs are those whose interest in science was strong enough to survive this system, but for whatever reason hasn’t been further cultivated. Here, the failure is more on a personal level. Maybe the popularizations and the articles, which Type IIs actually do read, aren’t clear or engaging enough; or in the same vein, maybe the scientists which they actually know – i.e., me – just aren’t that good at communicating the essentials of their field. I encourage these people to keep reading and keep asking questions.
So, what do I do, in a nutshell? Let me start with physics. Simply put, this is just understanding how the world works. Once you understand a little bit, you begin to see that you can and must do this in a mathematical way; you could just wax philosophical, as the Greeks did, but our understanding has progressed enormously since then. Once you have a mathematical theory, you keep checking it against experiment. If you find an experiment that cannot be predicted or explained by your theory, then you modify your theory. And so on. So our understanding of the physical laws of the universe walks forward step-by-step on these two feet, theory and observation - what we think and what we see. It is just a bonus that our theories turn out to be simple (relatively) and beautiful (absolutely); that’s just how the universe works.
So then, what is astrophysics? This is just, literally, physics of the stars. It is a wonderful fact that, so far as we know, physics works the same everywhere. So we can apply what we learn here in our tiny little corner of the universe to everything else we see. We can use the Newtonian theory of gravity we deduce from falling apples to understand the orbits of the planets. Likewise, we can use observations of astronomical events that we don’t understand to correct our theories. So, when we see that the orbit of Mercury isn’t predicted correctly by our Newtonian theory of gravity, we must construct a theory of general relativity that explains the problem. Such principles hold not only in our solar system, but beyond. Newtonian gravity explains the orbits of binary stars, but we must turn to general relativity to explain the orbits of binary neutron pulsars, and so on.
And so cosmology is just application of theory and observation to even larger scales – not just stars, but galaxies of stars, and the entire universe of galaxies. Far from being just-so stories, our theories of how the universe began are based on observation. If we observe that a nearly uniform background radiation permeates the universe and that other galaxies are moving away from us, we theorize that the universe began in a hot explosion and has been cooling and expanding since then. We use our theory of general relativity to run the clock backwards to find what the initial temperature must have been, and using our theories of nuclear physics calculate what the ratio of the different elements must have been at that temperature. We then run the clock forward again, and check to see if this ratio is what is observed in our current universe. It is. So we have done science. We are not just making up fanciful stories; we are trying to understand how the universe began as precisely and quantitatively as we can.
To improve on this cosmology, by considering observational puzzles such anisotropies in the background radiation, the distribution of galaxies and matter in the universe, dark matter and dark energy, and many more - that is why I am going to graduate school. Hopefully, by understanding these puzzles, we can improve our physical theories. I’m drawn to cosmology because the universe is such a fantastic experiment – the only one that allows us to probe such gigantic distances and high energies. (It is often said that to test that our theories hold at the enormous energies present during the big bang, we’d need a particle accelerator the size of our solar system. So, particle physics won’t do it for me.) This is why I do cosmology – to increase our understanding of the physical laws of the universe. It has nothing to do with makeup, or making up stories!
I am reminded of the dedication from the general relativity textbook by Misner, Thorne, and Wheeler (don’t tell anybody, but I like the dedication more than I like the book itself):
We dedicate this book
To our fellow citizens
Who, for love of truth,
Take from their own wants
By taxes and gifts,
And now and then send forth
One of themselves
As a dedicated servant,
To forward the search
Into the mysteries and marvelous simplicities
Of this strange and beautiful Universe,
Our home.
Unfortunately, sometimes the servants forget to report back, or find that no words can adequately describe what they have found. Sometimes, you just have to see it for yourself.

6 comments
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January 7, 2008 at 9:51 am
kristen
hi there.
my bachelors is in immunology and chemistry so this is the only one of your posts which i was able to understand. but i love your quotation from newton, and i’m interested in this post because i have an interest in science education (i’m working on a degree in education now at McGill in montreal).
i am of the opinion, as i believe you are, that the content of the high school science curriculum is in need of reform. your comment about the awful “inclined planes” of high school physics rang very true for me (i hate inclined planes). in chemistry, i feel that there is too much physical chemistry in the AP course and not enough emphasis on biochemistry and organic chemistry (of course perhaps my bias comes from my own affinity for the biomedical arena). in the AP biology course, i feel these is too much breadth and not enough depth.
i am wondering if you could comment here on what kinds of changes you would suggest for the high school physics curriculum. what sort of topics would you like to see covered? and would you agree with me that topics like chemistry, phsyics and (real) mathematics should be introduced much earlier in a child’s education? it is my opinion that students think these topics are hard in part because they are avoided until grade 8 or 9. who not start with the basics in middle school?
-kristen
January 7, 2008 at 9:53 am
kristen
*why not start.
my apologies.
January 7, 2008 at 9:10 pm
ontheseashore
Hi kristen,
The way I see it, from my public high school experience, the same problem crops up in the teaching of physics, chemistry, and mathematics (perhaps not so much biology, which is less focused on problem solving at this level). It seems the curriculum is centered around teaching one way to solve one type of problem at a time, then hammering that method home with several trivial plug-and-chug variations of the same problem, before moving on to the next problem. The teachers have to be sure to cover every variation of every problem that will be tested on statewide exams, after all. So, instead of teaching the general principles behind all problems, teachers are forced to teach specific sets of rules for each problem. Because the students have no idea where these rules come from, it all is very confusing.
Say in physics, where you learn a formula for the period of a pendulum. To actually derive this rigorously, you need to understand something about second-order differential equations; although it is not that difficult, most high school students won’t have seen this material. So instead, the “problems” we solve on this subject in high school just involve plugging in different numbers into this mysterious formula – simple calculations that don’t convey anything. They will give you two out of the three variables and ask you to solve for the third, ad nauseum. Maybe throw in some unit conversions to spice it up, which is just stupid. Not that bad, until you have to memorize a whole bunch of other formulas, too. Which is not bad either, but you are not actually learning anything about physics or how it is done.
There are two ways to fix this. One is to actually start teaching the necessary math earlier. My high school years were wasted away in subjects like “Algebra II” and “Pre-calculus.” I don’t need to be forced to see examples of every single combination of variables and fractions and etc. that might appear on a state-mandated exam to know how to do algebra. Nor do I need to memorize a bunch of trigonometric addition formulas, if you actually teach me how to derive them myself from complex numbers (which is not that complex to do at all, and leads to a whole bunch of other fascinating topics). So to solve this problem, we need to cut out all this extraneous material that becomes transparent later anyways. Starting earlier is definitely possible, too; people always think things are harder than they actually are, which is a crippling attitude, and one that I saw often in college.
The other is to actually teach those useful general principles. For example, you can find the period of the pendulum easily through dimensional analysis. Just ask, what could the period depend on? You could demonstrate, by simple experiments, that it doesn’t depend on the mass of the pendulum, just its length and, by intuition or thought experiments, the acceleration due to gravity. By finding the combination of these two quantities that gives a time, you’ll find the right period up to a numerical factor, which you can then estimate by experiment (plus you can check your functional dependence on length, at least, is correct). This may seem trivial, but it encapsulates how physics is actually done and teaches a critical and extremely useful tool. So instead of giving students a formula and asking them to calculate with it, why not ask them how they would find that formula in the first place? Once they have the basic intuition needed, then you can motivate the math behind the results more easily. So teach the general principles behind physics, which are always more interesting and beautiful than just ridiculous algebra calculations.
One thing that bugged me in chemistry was when I found out where the rules for the quantum numbers for atomic orbitals actually came from. I know that they don’t even explain this in the required chemistry course at my undergrad, and they certainly don’t explain it in high school AP chemistry, although you need to know the rules for the AP test. After I learned the quantum mechanics behind it years later in college, I wondered, why didn’t anybody tell me any of this earlier? It would have made much more sense to say, there is this equation that nature obeys, which only has these solutions, and numbers appear in this certain way in these solutions, and that is why we have quantum numbers. Maybe I wouldn’t understand the origin of the equation just yet, and you might argue that this would just be more formulas and funny rules. But in this case, the rules have some content; I could definitely plug in the solutions and verify that they work with just knowledge of calculus, and maybe this would interest me enough that I would go find out the rest myself. I would find more and more rules, each building on the last, until I found a set that no one has explained in terms of other rules, and to do so myself I’d have to do a bit of thinking. This is the basis of research. Instead, we are just given the very first level of these funny rules, with no hint of the structure and logic behind them or why they matter, and told to memorize them for the AP test or the final.
Feynman once said, “Know how to solve every problem that has been solved.” You can interpret this quote in two ways; unfortunately, the way often chosen by educators today is the more tedious and less enlightening of the two.
January 13, 2008 at 11:13 pm
kristen in montreal
Thank you so much for your thoughtful answer to my question!
I experienced exactly the same feeling you described concerning the quantum numbers. In high school and CEGEP (two years of college in Quebec before a 3-year university program), I memorized the rules for the quantum numbers etc. I was told that the magical numbers came from a magical formula, a formula which was represented by an intimidating greek letter psi, but that was it. Then, when I took a class in quantum mechanics at McGill, and a very good teacher decrypted the equations for me, I was very annoyed that this hadn’t been explained to me in earlier courses. It would have been an immense motivation for me to work hard on my math so that I could more fully appreciate what was going on.
One of the problems, as you point out, is that students don’t have calculus before they take chemistry and physics. I think most high school students these days would have a heart attack if I showed them what the Schrodinger equation looks like. Or maybe I’m making the mistake of underselling my future students. It isn’t their brains I doubt – but their stomachs. Right now, I tutor an extremely bright student in chemistry, and every time I try to show him the origins of the equations he’s using, I get an “ow, by brain hurts, stop!” It’s very frustrating to try to overcome that kind of resistance to intellectual challenge.
That being said, your approach to building formulas from fundamental principles and experiment would be an extremely powerful pedagogical approach. It teaches the scientific method by demonstrating it, rather than by beginning the course with a lecture on what the scientific method is (what a meaningless way to explain what scientists do!). It’s too bad that teachers these days aren’t able to teach this way because they have to drill their students to plug and chug numbers and grapple with those trivial unit conversions.
-K
January 15, 2008 at 6:46 pm
Steven - the best bassist you know
On the Sea Shore,
This past semester I fancied myself and took Galactic and Stellar Astronomy, and though not as intensive a physics course as it could have been, I though that it was the most interesting physics based course I have ever taken. I was so astounded by the things that I learned that I am taking Solar System Astronomy this semester. I think that your analysis of the school structure is dead on, but I also feel that much of the problems that arise with student comes from a lack of motivation. Like you said, and like we experienced in high school, the education system does not make what is taught interesting enough. In that there is a Catch-22 though. (I learned that one from Jane Fain) In high school, if we did not do extra-curricular readings or tutoring, we did not have a strong base for learning things such as the Chandresekhar limits, or the Schwartzchild radius. I had a conversation with a colleague of mine who was educated in Europe, more specifically, England. She explained that their education system was more of a comprehensive education system that, as you progress through the grades, builds on itself. We NEVER had something like that. It is sad that we figure things like this out after we are out of high school. What is not sad is that you are a god at Guitar Hero. All I can say though is that in a contest between you and I, when the sun is high and the demons have been slain, I will defeat you at DragonForce in all of the Dio-ian glory.
August 28, 2008 at 10:41 am
virginialopez
what do you need to study for cosmology?