Now 77, John Horton Conway is perhaps the world’s most lovable egomaniac.
He is Archimedes, Mick Jagger, Salvador DalĂ, and Richard Feynman,
all rolled into one.
He is one of the greatest living mathematicians,
with a sly sense of humour, a polymath’s promiscuous curiosity, and a
compulsion to explain everything about the world to everyone in it.
According to Sir Michael Atiyah, former president of the Royal Society
and arbiter of mathematical fashion, “Conway is the most magical mathematician in the world.”
And then there is Terry Tao.
Imagine, he said, that someone awfully clever could construct a machine
out of pure water.
It would be built not of rods and gears but from a
pattern of interacting currents.
As he talked, Tao carved shapes in the
air with his hands, like a magician. Now imagine, he went on, that this
machine were able to make a smaller, faster copy of itself, which could
then make another, and so on, until one ‘‘has infinite speed in a tiny
space and blows up.’’
Tao was not proposing constructing such a machine —
‘‘I don’t know how!’’ he said, laughing.
It was merely a thought
experiment, of the sort that Einstein used to develop the theory of
special relativity.
But, Tao explained, if he can show mathematically
that there is nothing, in principle, preventing such a fiendish
contraption from operating, then it would mean that water can, in fact,
explode.
And in the process, he will have also solved the Navier-Stokes
global regularity problem, which has become, since it emerged more than
a century ago, one of the most important in all of mathematics.
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