divine dice in elementary number theory
Fri, 10 Mar 2000 20:24:38 -0500 (EST)
First of all, the connection with physics. There was a big
controversy when quantum mechanics was developed, because
quantum theory is nondeterministic. Einstein didn't like that.
He said, ``God doesn't play dice!'' But as I'm sure you all
know, with chaos and nonlinear dynamics we've now realized that
even in classical physics we get randomness and
unpredictability. My work is in the same spirit. It shows that
pure mathematics, in fact even elementary number theory, the
arithmetic of the natural numbers, 1, 2, 3, 4, 5, is in the
same boat. We get randomness there too. So, as a newspaper
headline would put it, God not only plays dice in quantum
mechanics and in classical physics, but even in pure
mathematics, even in elementary number theory. So if a new
paradigm is emerging, randomness is at the heart of it. By the
way, randomness is also at the heart of quantum field theory,
as virtual particles and Feynman path integrals (sums over all
histories) show very clearly. So my work fits in with a lot o
This is fucking mindblowing.
<email@example.com> Kragen Sitaker <http://www.pobox.com/~kragen/>
The Internet stock bubble didn't burst on 1999-11-08. Hurrah!
The power didn't go out on 2000-01-01 either. :)