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Dear Wesley!

You ask how string theory and chaos theory are related. The problem is that in asking this question you show that you lack some understanding of at least one of those theories. So I will first try to elaborate on string theory and chaos a bit, and finally conclude with an answer to your question.

*String theory* is an attempt of theoretical physicists to unite
the very successful, but separate theories about elementary particles
and gravity. Physicists are of the KISS type - `Keep It Simple,
Stupid' -, they always want to base their view of nature on principles
which are as simple as possible. While the present theories of
elementary particles are able to describe experiments (performed in
high energy accelerators, for instance) quite well, they lack an
essential property: They are not easily brought into accord with
Einstein's General Theory of Relativity, which describes
gravitation. String theory (in its flavour of `Superstring theory')
might prove to be a solution to this problem; in string theory, all
the elementary particles we know are represented as vibrations (to be
more exact, vibrational modes) of tiny strings. From a mathematical
point of view, this concept is very appealing, and it might be possible
to derive our present theories of gravitation and elementary particles
as only *special cases*, or limits, of some `greater' and simpler
construction. To wrap it up, string theory might present us with
a unified approach to a consistent description of matter and forces.

*Chaos theory*, on the other hand, deals with the description of
certain physical systems which are extremely sensitive to initial
conditions. The global weather system is of such a type: mathematical
models have shown that minor variations of temperature, wind velocity
etc.can make a tremendous difference when one wants to extrapolate
atmospheric behaviour over some period of time. Apart from that,
typical phenomena connected with chaotic systems are
*intermittency* (short `flashes' of ordered, non-chaotic
behaviour, like e.g. tornados) and *non-analyticity* (the
inability to describe the motion of a chaotic system in closed
mathematical form). Chaotic systems are also typically
*nonlinear* systems. This means that several independent ways in
which the system might behave cannot be accomodated at the same time -
they would disturb each other (e.g., electromagnetic waves are
described by *linear* equations, which means that waves which
take up the same region of space at the same time do *not*
disturb each other).

Now you will understand that chaos theory and string theory are not
fundamentally related. Not only do they deal with completely different
phenomena, they also have different aims. A wild guess would be that
present theories about particles are of the nonlinear type and thus
*might* show chaotic behaviour. On the other hand one also has to
take the quantum nature of strings into account, and this is something
that chaos theory is just beginning to incorporate.

Hope that helps,

Georg.

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