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)
222 Notices of the AMs VoluMe 56, NuMber 2
you my guess, just to give you something to think
about. I consider it unlikely that string theory will
turn out to be either totally successful or totally
useless. By totally successful I mean that it is a
complete theory of physics, explaining all the de-
tails of particles and their interactions. By totally
useless I mean that it remains a beautiful piece of
pure mathematics. My guess is that string theory
will end somewhere between complete success
and failure. I guess that it will be like the theory
of Lie groups, which Sophus Lie created in the
nineteenth century as a mathematical framework
for classical physics. So long as physics remained
classical, Lie groups remained a failure. They were
a solution looking for a problem. But then, fifty
years later, the quantum revolution transformed
physics, and Lie algebras found their proper place.
They became the key to understanding the central
role of symmetries in the quantum world. I expect
that fifty or a hundred years from now another
revolution in physics will happen, introducing new
concepts of which we now have no inkling, and the
new concepts will give string theory a new mean-
ing. After that, string theory will suddenly find
its proper place in the universe, making testable
statements about the real world. I warn you that
this guess about the future is probably wrong. It
has the virtue of being falsifiable, which accord-
ing to Karl Popper is the hallmark of a scientific
statement. It may be demolished tomorrow by
some discovery coming out of the Large Hadron
Collider in Geneva.
Manin Again
To end this talk, I come back to Yuri Manin and
his book Mathematics as Metaphor. The book
is mainly about mathematics. It may come as a
surprise to Western readers that he writes with
equal eloquence about other subjects such as the
collective unconscious, the origin of human lan-
guage, the psychology of autism, and the role of
the trickster in the mythology of many cultures.
To his compatriots in Russia, such many-sided
interests and expertise would come as no surprise.
Russian intellectuals maintain the proud tradition
of the old Russian intelligentsia, with scientists
and poets and artists and musicians belonging to
a single community. They are still today, as we see
them in the plays of Chekhov, a group of idealists
bound together by their alienation from a super-
stitious society and a capricious government. In
Russia, mathematicians and composers and film-
producers talk to one another, walk together in the
snow on winter nights, sit together over a bottle of
wine, and share each others’ thoughts.
Manin is a bird whose vision extends far be-
yond the territory of mathematics into the wider
landscape of human culture. One of his hobbies
is the theory of archetypes invented by the Swiss
psychologist Carl Jung. An archetype, according to
Jung, is a mental image rooted in a collective un-
conscious that we all share. The intense emotions
that archetypes carry with them are relics of lost
memories of collective joy and suffering. Manin is
saying that we do not need to accept Jung’s theory
as true in order to find it illuminating.
More than thirty years ago, the singer Monique
Morelli made a recording of songs with words by
Pierre MacOrlan. One of the songs is La Ville Morte,
the dead city, with a haunting melody tuned to
Morelli’s deep contralto, with an accordion singing
counterpoint to the voice, and with verbal images
of extraordinary intensity. Printed on the page, the
words are nothing special:
“En pénétrant dans la ville morte,
Je tenait Margot par le main…
Nous marchions de la nécropole,
Les pieds brisés et sans parole,
Devant ces portes sans cadole,
Devant ces trous indéfinis,
Devant ces portes sans parole
Et ces poubelles pleines de cris”.
“As we entered the dead city, I held Margot by
the hand…We walked from the graveyard on our
bruised feet, without a word, passing by these
doors without locks, these vaguely glimpsed holes,
these doors without a word, these garbage cans
full of screams.”
I can never listen to that song without a dispro-
portionate intensity of feeling. I often ask myself
why the simple words of the song seem to resonate
with some deep level of unconscious memory, as
if the souls of the departed are speaking through
Morelli’s music. And now unexpectedly in Manin’s
book I find an answer to my question. In his chap-
ter, “The Empty City Archetype”, Manin describes
how the archetype of the dead city appears again
and again in the creations of architecture, litera-
ture, art and film, from ancient to modern times,
ever since human beings began to congregate in
cities, ever since other human beings began to
congregate in armies to ravage and destroy them.
The character who speaks to us in MacOrlan’s song
is an old soldier who has long ago been part of an
army of occupation. After he has walked with his
wife through the dust and ashes of the dead city,
he hears once more:
“Chansons de charme d’un clairon
Qui fleurissait une heure lointaine
Dans un rêve de garnison”.
“The magic calls of a bugle that came to life for
an hour in an old soldier’s dream”.
The words of MacOrlan and the voice of Mo-
relli seem to be bringing to life a dream from our
collective unconscious, a dream of an old soldier
wandering through a dead city. The concept of the
collective unconscious may be as mythical as the
concept of the dead city. Manin’s chapter describes
the subtle light that these two possibly mythical