WHAT IS STRING THEORY
String theory is a theory that attempts to
answer everything...everything that we observe in the universe,
both on a large scale and sub atomic scale. In attempting to do
so the theory must account for the unique behaviour of the fundamental
particles and the four fundamental forces that have been measured.
It must unify the theories of general relativity and quantum mechanics,
and it must explain the birth of the universe and all that we see
within it.
Let us first look at the world of physics where it appears that
all is not well.....on the one hand we have general relativity,
which describes the larger scale workings of the universe, and on
the other quantum mechanics, which gives us a framework for understanding
the sub atomic scale. The problem is that they just do not fit neatly
together like two pieces of a puzzle, which would complete a complete
puzzle.....a theory of everything.
The problem arises because general relativity, which explains
how gravity works, breaks down at a subatomic level. Effectively
the subatomic world is an arena of uncertainty, it is full of fluctuations
that apply not only to the position of sub atomic particles but
to spacetime as well. The smooth geometric fabric that Einstein
described (a little like the surface of a trampoline) decays into
a see of writhing foam, one that becomes more chaotic the closer
you look. Predictably is something that no longer exists.....
This fundamental conflict between the theory of general relativity
and quantum mechanics has resulted in many psychopathy taking up
the challenge of resolving such an issue. For many they choose not
to lose sleep over the fact that these two theories only fail to
fit at minuscule scales, yet this is the typical attitude of so
many people....lets bury our heads in the sand and kid ourselves
that these two theories coherently explain everything. However for
those that have striven to find answers there is at last light at
the end of the tunnel in the form of 'string theory,' a theory that
stems from a revolution in the perception of the minutia.
The essence of string theory is that, unlike
previous thinking, the smallest elements of matter are not point
particles. Actually there is a much smaller elementary ingredient
from which all matter is ultimately made....strings. These strings
are extremely small....if an atom could be scaled up in size to
represent the size of the universe then a single string would only
amount to the size of a house!! Given such a scale there is no chance
that we can observe such strings with our current technology...and
so this theory is a conceptual one.
The strength of string theory is in its ability
to link two opposing theoretical foundations on which modern physics
was built...general relativity and quantum mechanics. The fundamental
issue in linking these two theories is that the strings are not
point particles, they are loops of vibrating matter or energy. Furthermore,
and just as important, is the fact that these strings vibrate, much
like the strings of a guitar when they are plucked. Effectively
these strands of matter oscillate constantly, and just like a guitar
string each elementary string appears to smear owing to its own
vibration. unlike point particles, there spatial extent is increased
by virtue of their vibrating. Think of looking at a photograph of
a vibrating guitar string...the image will look blurred and the
spatial extent of the blur will be greater than that of a single
string at rest. The same is true of elementary strings....which
has extremely important consequences for uniting general relativity
and quantum mechanics.
The problem with the idea that point particles
constitute the smallest fundamental elements of matter is that they
exist at a scale where quantum chaos rules...where the devastating
effects of the uncertainty principle come into play. But the theoretical
understanding that strings are vibrating and are smeared means they
do not succumb to the weirdness of the uncertainty principle because
of their increased spatial extent. With string theory the quantum
chaos that arises from the uncertainty principle becomes redundant
and the quantum foam can be tamed. In fact with string theory the
quantum foam never exists. The uncertainty principle arose from
the necessity to formulate a framework for quantum mechanics and
general relativity with elementary particles that were considered
to be point particles, of zero spatial extent. When seeing particles
to be point like objects with no spatial extent, physicists only
considered properties of the universe on arbitrarily short distance
scales. In considering these tiniest of distances physicists ran
into the uncertainty principle, and this uncertainty has arisen
because they were unaware of the limits of scale and were led by
a point particle approach to overstep the bounds of physical reality.
However if all matter is composed by strings, the extended nature
of the string eradicates the ultra short distance behaviour responsible
for the dilemma of uncertainty.....
Okay so string theory is still a conceptual
theory, yet it does offer to provide the link needed to bind the
theories of general relativity and quantum mechanics, and furthermore
it offers a powerful paradigm for the workings of the universe.
However string theory also offers a tangible understanding of the
way things actually behave in the universe.
Galaxies, stars, you, me and everything around
us are all composed of just a handful of types of elementary particles,
such as electrons, muons and quarks. These elementary particles
are the building blocks of atoms. Each type of elementary particle
has its own characteristic profile, a specific mass and electrical
charge. These particles interact with each other by the workings
of an even smaller number of 'messenger' or 'force particles,' which
constitute the four fundamental of the universe....weak, strong,
electromagnetic and gravity. From this point of view the universe
appears to be incredibly finely tuned in the sense that the numerous
processes that occur within it (i.e. the formation of black holes
and the explosive force of a supernova) can be explained in terms
of the actions of a handful of elementary particles and the four
fundamental forces. If however these parameters were to be changed
by even a minuscule amount then the grand structure of the universe
would be completely different. The key question here is what dictates
the precise parameters of these particles and forces? Of course
it is possible for us to measure their physical properties, but
no one knows why they are the way they are.
String theory does however offer us an explanation
for the way these particles and forces behave. Traditionally elementary
particles and the fundamental forces have been classified on the
basis of their uniqueness. It would therefore seem sensible to suppose
that for example, electrons are made of a different material from
quarks because their weight and electric charge are different. Once
the connection was made that all particles of all types could be
made of strings , string theory revealed that the characteristics
of each fundamental particle could be a product of the unique vibration
of each string.
Essentially the fundamental particles of
the universe are not made of different material, but the same. The
reason that they display different characteristics is due to their
internal strings vibrating differently, and if this is correct the
sum total of the unimaginably small vibrating strings equates to
the harmonic symphony of the universe we see around us.
Whilst particles and forces are identifiable
as separate entities today, most theorists believe that at extreme
temperatures and pressures, such as those experienced within the
big bang, all particles and forces would have been united. This
might have worked in much the same way as ice cubes unite to form
the same pool of water when heated. This idea is what is known as
the standard model. In order for this type of model to be viable
it must be able to accommodate the workings of all the known particles
and forces. This is one of the reasons as to why scientists want
unification between general relativity, where the forces of gravity
dominate, and quantum mechanics, where the three other fundamental
forces dominate. All forces must 'get along' since they are at the
heart of everything in the observable universe.
If we had point particles as the basic structure
of everything then at the beginning of the universe everything would
have been compressed down to some form of infinitely tiny distance
scale. Furthermore the temperature would have been essentially infinite.
It is therefore extremely difficult to describe the birth of the
universe within a theory that only has particles and doesn't have
strings as the fundamental quantities. With strings this infinite
behaviour evaporates and is replaced by something that is finite...everything
was compressed to a small size but it was not infinitely small...temperatures
would have been high....but not infinitely high. So we are provided
with hope of actually calculating what actually happened at the
beginning of the universe.
For the first time the mathematics of vibrating
strings, the heart of string theory, successfully describes what
the theory of point particles could never do, the behaviour of a
force particle for gravity...the graviton. By theorising that gravity
is mediated by a force particle, which itself is a result of a vibrating
string, string theory allows the harmonious merger of general relativity
with quantum mechanics...without gross distortions of spacetime.
From this point of view string theory offers a very powerful argument
in claiming to be a theory of everything.
According to Einstein's equations space and
time are curved. I would use the analogy that the universe is like
a sheet of rubber, and when a piece of mass is placed in a place
it dents the rubber and causes things to fall in, and that is analogous
to how gravity works. If you were to take that same piece of mass
and jiggle it back and forth, what would happen to the sheet of
rubber? Very quickly you would build up ripples on the sheet of
rubber as you take the mass point and jiggle it back and forth.
Those ripples are in fact the graviton, so it's the waves of gravitational
energy in spacetime that are responsible for communicating the gravitational
force.
Okay so thus far we have put paid to quantum
uncertainty and succeeded in tying gravity into the world of the
minuscule. However whilst this sounds logical and common sense nothing
in life could be that simple. If everything is made from string
vibrations why should there only be a set number of particles? Why
not an infinite number of string vibrations leading to an infinite
number of particles and forces. The hub of the theory is that the
way strings vibrate is dictated by the geometry in which they are
contained. Different fundamental particles reflect different string
vibration patterns that in turn are dictated by different geometries...or
different dimensions. One way of understanding this is to imagine
that you are locked in a box and that you wriggle in an attempt
to break free. If the box you are in is a long thin box you will
wriggle in a long thin way. However if you are in a big square box
you will wriggle in a big square way. The wriggling movements that
you will make will be dictated by the shape of the box, just as
a strings vibrations are dictated by the dimensions in which they
exist.
DIMENSIONS
To make the maths of string theory work there
is one more leap of faith required. strings operate in a world that
contains ten dimensions, one time dimension, three space dimensions
and six unknown ones. These extra dimensions are needed to explain
the existence of all the particles that have been observed in atom
smashes. Having these extra dimensions means that a single string
can vibrate in many different directions and therefore can produce
the large variety of particles that have already been observed.
Four of these dimensions are familiar to
us...
UP–DOWN
LEFT–RIGHT
BACK–FORTH
TIME
However when working within string theory
there are six other dimensions which are so small that we cannot
possibly see them. However this aspect of the theory created an
argument. With these ten dimensions scientists could only explain
string theory mathematically in five different ways, that is the
Theory of Everything came in five different forms (or flavours)
dependant upon how the properties of the strings are viewed and
which fundamental particles you would allow for in your mathematical
treatment. too much for a theory of everything I hear you say...the
theory cant even agree on one version!!! well that may have been
so...until the emergence of one scientist who transformed string
theory.
The answer to this problem came in 1995 through
what is known as M–theory, and the man who made it possible, Edward
Witten. He suggested that the five different 'flavours' were simply
different ways of looking at the same problem. He argued that each
of the five different string theories can actually be connected
to each other by mathematics and are different facets of one all
encompassing theory, M–theory. Think about standing in a life that
has five different mirrors and looking at your own reflection –
yes each reflection is unique, but the image that each mirror is
reflecting is of the same object.
However in order to assimilate the five different
mathematical versions of string theory Witten had to introduce an
11th dimension. This extra dimension allows greater freedom of movement
for the physical behaviour of our minute strings of vibrating matter.
The more degrees of freedom our strings have the greater the ability
of string theory to explain all of the observed physical properties
of the universe. However by adding another dimension a new implication
was uncovered.....there may be more than one universe.
PARALLEL UNIVERSES
Rather than being tiny and restrictive the
11th dimension has a unique quality, it allows a string to be able
to expand. An expanded string is known as a 'brane' (short for membrane).
Visualising this brane is dependant upon how much energy the string
has. Mathematics has shown us that the more energy a string has
within the 11th dimension the larger the brane can become.....give
it enough energy and it could become the size of the universe. This
opens up yet another question...perhaps the universe is a brane
and we are living in the skin of a brane. When thinking about this
a further question can be posed....Are there other brane's??? This
is perhaps a scary question as what I am asking is whether or not
there are in fact other universes?? Perhaps there is another brane
paralleling our brane....a parallel universe. The laws of physics
and the forces that act within any particular brane are considered
to be a manifestation of the strings that are attached to that brane,
and different brane's may well have different strings, and hence
different laws of physics.
However we must remember that this is only
a theory based upon mathematical findings. Theoretically all of
this is possible, yet testing the reality of such predictions has
thus far been incomprehensible. Perhaps the best way to explore
this concept is to explore two factors that may suggest this proposal
to be a reality...the big bang and gravity.
As we know gravity is one of the four fundamental
forces, which are instrumental in the workings of the universe.
However if differs from the other three fundamental forces (being
weak, strong and electromagnetic) in that it is much weaker. For
example gravity is a thousand billion billion billion billion times
weaker than the electromagnetic force that holds atoms together.
The weakness of gravity has baffled scientists for decades, but
string theory may have provided an answer.
Why should gravity be so weak in comparison
to other forces in our universe. Well if we return to the prospect
that 'our universe' is in fact a brane, string theorists believe
that each brane may have its own physical laws. If I went to visit
a parallel brane (universe) the physical laws which govern that
universe may be substantially different, yet still dictated by the
strings that anchor it.
A further question could be directed towards
the freedom of such strings...what if some strings were not anchored
down to their universe..what if some were free to move?? This is
the new thought behind gravity. The string responsible for creating
the behaviour of the graviton is thought to be a closed loop, and
so because of its shape it is not tied down to any universe. Instead
it is free to permeate between brane's. Like sound waves gravity
can reverberate around brane's, and also like sound waves gravity
gets weaker as it disperses. Gravity may well be as strong as the
other fundamental forces, but owing to its ability to permeate through
parallel universes it becomes diluted. If such a theory is correct
gravity may well be the only way we can communicate with other parallel
universes, since it is the only force common to all universes and
dimensions.
AN ULTIMATE ANSWER
String theory, which has now become M–theory,
is providing a revolution in the way we perceive the cosmos, and
indeed our very 'existenz.' Perhaps the ultimate question for me
is whether string theory can explain how it all began. The idea
of the big bang, the event that created everything in our universe,
is neither a new idea or one that is water tight. In fact it has
considerable problems. The theory of the big bang states that everything
we can observe was born from an infinitesimally small point which
rapidly expanded out from a rapidly huge explosion of energy. What
caused this event, and indeed what preceded it has never been satisfactorily
explained, afterall even I cannot comprehend the fact that a big
bang occurred out of nothing.
Some string theorists are toying with the
idea that the big bang is a manifestation of the collision of brane's,
that is two or more parallel universes colliding, releasing a vast
amount of energy and matter which eventually condensed to form the
galaxies, stars, planets and even me and you. If we were to use
this explanation then big bangs are far from unique, rather they
are just the by product of the endless cycles within the cosmos...they
have happened before and they will happen again. Perhaps string
theory offers an insight into how we got here, and I for one am
willing to embrace such a theory in searching for the answers to
my own existence.
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