Inilah sebabnya, mengapa saya mulanya mengira Sunil
Mukhi dkk dari Tata Institute of Fundamental Research
yang memenangkan hadiah Nobel Fisika tahun ini. 

Salam,
RM


dari Sunil Mukhi's Home Page


String Theory and the Unification of Forces

by Sunil Mukhi


Early attempts at unification.
 
The urge to discover a fundamental theory underlying
all natural phenomena has been expressed since the
beginning of civilization. From the reduction of all
matter to ``earth, air, fire, water'', we have
progressed considerably. Chemistry reduces all of
matter to a hundred or so types of atoms, called
``elements''. But these in turn consist of smaller
particles interacting with each other. We now
understand reasonably well how to reduce all of matter
to a large collection of elementary particles. The
interactions amongst them are ascribed to the exchange
of other particles, called ``force carriers''. 

The four forces. 

Experimentally it is known that there are just four
basic forces in nature. Two of them are very familiar:
the electromagnetic force, and the gravitational
force. The other two are invisible unless we probe
deep inside the nucleus of the atom. They are called
``nuclear forces'' and come in two varieties, the
``weak'' and the ``strong'' force. The weak nuclear
force is responsible for radioactive decay, while the
strong force binds protons and neutrons together to
make up the nucleus. 

The Standard Model of elementary particles. 

The most fundamental theory today that is
substantially confirmed by experiment is the
``Standard Model'' of three interactions:
electro-magnetic, weak nuclear and strong nuclear. In
this model, particles like electrons, muons, neutrinos
and quarks make up matter. They interact via the above
forces. The force carriers are other particles, such
as photons and the more recently discovered W and Z
bosons and gluons. 

Success of the Standard Model. 

The Standard Model gives us a recipe to calculate the
rates at which interactions take place. We can then
measure the same rates in an accelerator or other
laboratory, and compare with the theory. The result of
this comparison has been very successful, and has
ultimately led to several Nobel Prizes in Physics. In
1979, the prize was awarded to theorists Sheldon
Glashow, Abdus Salam and Steven Weinberg, who proposed
the theory of electromagnetic and weak interactions.
In 1984, it went to experimentalists Carlo Rubbia and
Simon van der Meer, for the detection of the W and Z
particles predicted by the model. The 1976, 1988, 1990
and 1995 Nobel Prizes were given for other experiments
that corroborated aspects of the Standard Model, and
the 1999 prize went to theorists Gerardus 'tHooft and
Martinus Veltman for elucidating the mathematical
theory that underlies it. 

Shortcomings of the Standard Model. 

Despite all this, today it is believed that the
Standard Model is approximate and incomplete. It does
not incorporate the fourth and perhaps best-known
force in nature: gravity. This is believed to be
mediated by the exchange of gravitons, and due to
problems of mathematical consistency, no one has ever
been able to incorporate gravity into the Standard
Model. So it is surely incomplete. Another problem
with this model is that one has to assume the
existence of distinct forces and their carriers.
Einstein hoped that there would be a ``unified''
theory in which all known forces would emerge out of a
single one in some way. Electricity and magnetism used
to be thought of as two forces, but now we know they
are different aspects of the same (electro-magnetic)
force. Could the same type of unification hold for the
four forces that are today viewed as distinct? 

Unified Theories. 

A unified theory would be a mathematical framework in
which all the different kinds of forces and particles
occur naturally. We should not have to fix the masses
and charges of particles from experiment; rather the
theory should fix them automatically to be the right
values. Why does the electron weigh as much as it
does? Why do particles interact with a given strength
and not any other? In the standard model we just
assume that these values are the ones measured in
experiments, but in a unified theory these values
should be predicted. Clearly this is an ambitious
goal. 

This suggests that the theory should possess a great
degree of mathematical elegance and consistency. To
discover the unified theory, we must look among those
physical models which broadly resemble nature and in
addition satisfy the above criteria. Only at a later
stage -- after the detailed structure of the theory is
understood -- can we check whether it describes our
world. 

Einstein's dream. 

Einstein was among the earliest to propose that such a
unified field theory must exist, and he struggled --
without success -- for most of his later life to find
the right theory. Today we may be on the verge of
realising Einstein's dream. String theory is currently
the most promising example of a candidate unified
theory. We are not yet sure that it correctly
describes nature, but it broadly describes a world
similar to ours, and is endowed with beauty and
consistency to an astonishing degree. 

The Physical Idea of String Theory. 

The physical idea is utterly simple. Instead of many
types of elementary point-like particles, we postulate
that in nature there is a single variety of
string-like object. The string is not ``made up of
anything'', rather, it is basic and other things are
made up of it. As with musical strings, this basic
string can vibrate, and each vibrational mode can be
viewed as a point-like elementary particle, just as
the modes of a musical string are perceived as
distinct notes! 

Thus string theory certainly is a model of elementary
particles. The great surprise is that mathematical
equations describing strings are highly constrained by
consistency. In some sense, most of the equations we
would think of writing down turn out to be
inconsistent, only a few appear to be allowed. Indeed,
it looks most likely that (unlike particle theories)
there is only one unique string theory! If so, what
does it predict, and is it the promised unified
theory? 

Surprises from Strings. 

Researchers studying the equations of string theory
soon discovered a wealth of surprises. First of all,
among the particles arising as vibrations of the
string, we find some which are very similar to
electrons, muons, neutrinos and quarks -- the known
matter particles. There are others similar to photons,
W and Z bosons and gluons -- the known force carriers.
And there is one particle similar to the graviton, the
elusive fourth force carrier. 

Now since the structure of the theory is unique, we
can work out (not postulate) what are the types of
interaction between these particles. Astonishingly, at
low energies the interactions are precisely of the
type appearing in the Standard Model, and as a welcome
bonus, we also get the gravitational interaction that
Einstein originally discovered. So string theory
predicts, roughly speaking, the right types of
particles and the right types of interactions among
them. The famous mathematical inconsistency -- which
for decades made it impossible to incorporate quantum
gravity in a theory along with the other interactions
-- is conspicuous by its absence in string theory. It
is almost as if gravity needs strings in order to
exist! 

More Surprises, and Some Hopes. 

Besides these surprises, there are many others that we
have stumbled upon in the last decade. In string
theory, the fact that there are three space dimensions
in our world might also be predicted rather than
assumed. The dimension of ``space-time'' is variable
in string theory, in the sense that we have to
understand and solve string equations to determine it.
This has not been done yet, because of the great
complexity of the theory. If the answer comes out to
be four (three space and one time) then we would have
``explained'' one of the most deep and abiding
mysteries since the dawn of civilization: why does our
world have the dimensionality that it has? If the
answer is something else then string theory may be the
wrong theory of nature, though we may still learn
something about the right theory. Only successful
comparison with experiment can give us convincing
proof that string theory is correct. 

Sunil Mukhi
Tata Institute of Fundamental Research
Homi Bhabha Road, Mumbai, India 


--------------------------------------------------------------------------------
8 November 1995, revised 7 October 2000.
My thanks to all those who emailed me with their
valuable comments and suggestions. 
--------------------------------------------------------------------------------

Click here to go to my second (and longer)
non-technical article on string theory: 
"The Theory of Strings: A Detailed Introduction"
--------------------------------------------------------------------------------
 



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