Answer by David Kahana:
About Jacob Barnett and other so-called genius child prodigies: you might want to read the following article in Skeptic.
The Spark and the Hype
Now, stop comparing yourself with all the child prodigies and genius physicists in history, it's far too long a list: you'll never finish if once you start down this road.
All this mythology about child geniuses is some of the most damaging talk for young intellects that can be found anywhere. You should avoid such discussions like you would avoid the plague. This kind of talk is poison, it will rob all the joy from you.
Here is a fact for you. It's not a myth. Physics is hard to do and mathematics is hard to do. These subjects are hard for everyone, not just for you and me. They are hard for Jacob Barnett, too.
They are hard because they are fundamentally creative endeavours, just like poetry, or painting or writing are. Creative endeavours all require intense and sustained work as well as a gift for doing that work to become any good or to produce anything good.
But the reward for all that effort is that you'll know it when you've learned something new, and you'll know it when you've done something good. There's nothing like that feeling.
You'll never be a Julian Schwinger – now Schwinger was an authentic child prodigy in physics, I. I. Rabi gave him a problem in quantum mechanics when he was 12 years old and he solved it, but he had to wait until age 18 for Harvard to give him his PhD. So it's probably true, you'll never be a Julian Schwinger if you don't have his gift and motivation at a very young age. But you can go a very long way if you realize that Julian Schwinger had to work just as hard as anyone else, and he probably worked much harder than most, or he would never have done anything at all no matter what his gifts were.
If you doubt that Schwinger worked hard, then I would recommend doing the following exercise. When he was a bit more mature he wrote a very famous paper in which he calculated the lowest order correction to the electron magnetic moment in quantum electrodynamics: he showed it was different from what you expect to get according to the Dirac equation and that the difference agreed with the experiments. Go and look this paper up and have a look through the whole thing. You don't have to check it or follow any of it, you just need to have a look through it, that's all.
I don't mean the two paragraph letter in which he first announced the result and which actually contains a typographical error in it if you look carefully. I mean the paper in which he lays out the theory and gives the actual details of his calculation. The calculation is a tour de force, and what you will find is that it is a massive and an almost completely brute force calculational effort that was all done in the days before anything like Mathematica even existed.
Then, go and look up how the exact same result is obtained by using Feynman's diagrammatic approach. And don't feel any despair when you do any of this: don't think to yourself that you could never have done anything like any of it. Just feel a little bit of admiration for the two of them for what they did and then go on.
It wasn't all easy for Feynman either – he also worked like hell before he figured out his diagrams.
So you need to do the work, and to do the work, you absolutely need to enjoy doing it. The two go hand in hand, they are inseparable.
Concentrate on what you need to do to make yourself into a physicist if that's your goal. It's the work that you do starting now that matters, not what some other people did, or what you imagine that some other people did by the time they reached your age, sometime in the past. There are plenty of very good physicists who were not child prodigies.
You are entering a very hierarchical and competitive profession if you choose to do physics for a living. You need to start to learn do things that will raise your self-confidence rather than destroying it, if you want to succeed. Ideally your studies to come will raise your confidence.
Don't be sidetracked into discussions of personalities and biographies: remember to do the primary thing. Buy a book on a physics subject you're interested in and start learning, start doing problems. Keep on moving.
And another thing, maybe more important than all the rest of it. You're young. You write like a very young man. This is a great advantage!
Physics is not the only thing in life. Go have an adventure, find a girlfriend, throw yourself into something else, preferably something physical rather than intellectual. Strive for a little bit of balance in your life.
There's an old saying from Juvenal: "orandum est ut sit mens sana in corpore sano", meaning: you should pray for a healthy mind in a healthy body.
You should not be studying to write your autobiography at the age of 18, or thinking about how it will all look to posterity. It doesn't make a whit of difference in the long run if you were a child prodigy or you weren't.
You can write your memoirs when there is nothing more interesting for you to do, or tell your biographers how to polish things up for the record, if that's what matters to you as, at the end of a hopefully long and successful life, you drift into senescence.
I can list many friends who were "child prodigies" in many subjects, from music to mathematics. Guess what? The vast majority of them never did anything at all noteworthy. They all vanished into the machine.
Cheer up, for god's sake, and best of luck to you!