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of the potential candidates into the revelation of the Theory of
Everything is the superstring. Superstrings are envisaged as
inconceivably minuscule, constantly vibrating strands of pure energy.
Everything in the universe, from subatomic particles to entire galaxies
is composed of superstrings, according to this theory. Superstrings, if
they exist, must measure only 10-32 mm in size, a distance known as the
Plank length, which is so small that the quantum effect of gravity can
no longer be ignored. This of course overcomes the previously mentioned
problems of quantum field theories. Comparing the atomic and
subatomic sizes, if we can look inside the atom, we shall see that it
is a cloud of electrons some 10-7 mm in size, with a nucleus in the
order of 10-12 mm. To give a virtual perception of these orders of
magnitude I shall provide the following example: in one gram of radium
around 37,000,000,000 atoms are subjected to radioactive decay every
second. The half-life of radium, that is the time in which half of the
atoms of radioactive nuclide will undergo at least one disintegration,
is 1620 years. Now, superstrings are infinitesimally smaller than the
atom. For example, the equatorial radius of the Earth is 6378.17
kilometers. The ratio of the size of the Earth to that of the atom is
of the same order of magnitude as the ratio of the size of the atom to
that of the superstring. Unlike the zero-dimensional points or
particles in the earlier physics, strings are extended, one-dimensional
objects. By eliminating problems associated with the presence of
point-like particles, string theories allow the computation of
space-time dimensions from first principles. When a string oscillates
in space and time it sweeps a two-dimensional surface. This surface is
known as the world sheet and it replaces the world line of a particle,
creating a two-dimensional spacetime, where the division between space
and time depends on the observer. Strings can be open and closed, and
their different modes of vibration correspond to the existence of
specific elementary particles. In the generic quantum theory there are
quantum states with a negative norm known as ghosts, which create extra
unphysical states in the string spectrum. The original, so-called
bosonic, string theories required a 26-dimensional spacetime for these
extra unphysical states to disappear. However, bosonic string theories
were found to be unstable. It was subsequently established that the
ghost states decouple from the spectrum if two conditions are
satisfied: the number of spacetime dimensions is reduced to just 10 and
the supersymmetry is observed; that is, there must be equal numbers of
bosons and fermions in the spectrum. This supposition became known as
the superstring theory. At one time it seemed as if there were
five distinct superstring theories and that finally only one of these
will be proven as the authentic Theory of Everything. The very latest
theoretical work however has indicated that all five superstring
theories are connected to one another as if they are each a special
case of some more fundamental theory. It is known as M-theory. There is
one more twist to the M-theory. Apparently in essence it is an
11-dimensional theory that appears to be only 10-dimensional at some
parts in its space of parameters. In this case it should have a
membrane, as opposed to a string, as its fundamental entity. Edward
Witten of the Institute for Advanced Study in Princeton University, who
was largely responsible for the development of this concept, explains:
“M stands for Magic, Mystery or Membrane, according to taste”.There
are, however two new hurdles which physics must overcome, if the
validity of the string theories is to be legitimized. One is the
experimental verification of the mathematical derivations and second is
the problem of extra dimensions. All of the current quantum
field theories have been confirmed by experimental data. This is not
the case with the string theories. Does it mean that they belong to the
abstract ideas of philosophy and not to the real world of physics?
Richard Morris in his book Dismantling the Universe (1984) seems to
disagree: “…a correct theory is one that can presumably be verified by
experiment. And yet, in some cases, scientific intuition can be so
accurate that a theory is convincing even before the relevant
experiments are performed”. A Nobel laureate Paul Adrien Maurice Dirac
(1902 – 1984) gives the aesthetic aspects of nature even greater
significance by declaring: “It is more important to have beauty in
one’s equations than to have them fit the experiment”.The
problem of extra dimensions was also resolved through the revelations
of pure mathematics. In 1921 a little known Polish mathematician,
Theodor Kaluza (1885 – 1955), who was born in Ratibor, Germany,
realized that the unification between gravitation and electromagnetism
could be achieved by making a paradigm shift in our perception of the
space-time continuum. It required a new type of five-dimensional
geometry in place of the conventional, with the usual three dimensions
of space plus one time dimension. However, it was apparently impossible
to accommodate this fifth dimension into our established perception of
reality, as it was extremely difficult to imagine what this dimension
would look like and how it would fit into the existing spatiality.It
was not till 1926 when a former student of Kaluza, Swedish physicist
Oscar Klein (1894 – 1977) proposed an ingenious solution to the
perception of this fifth dimension. He suggested that a particle moving
a short distance along this fifth axis would return to where it began.
According to Klein it is in effect a “circular” dimension, “rolled up”
to a very small size. Experimental physics does not rule out the
possible existence of even larger numbers of such “curled up”
dimensions, provided their size is smaller than 10-15 mm, the limit of
present-day accuracy of measurement. And as before, there
seems to be a possibility of a somewhat artificial similarity between
the extra dimensions in string theories with the numerals, which were
revered in the old religious beliefs. This time there appears to be a
strange coincidence between the value of higher dimensions in the
string theories and in the hidden meaning of the symbolic names of
Jewish Cabbala. Apparently gematria of the most sacred name
yod-hey-vav-hey - that is of God - is twenty six, and Cabbala also
proclaims that the universe was created through ten utterances, the ten
sephirot.Thus, the perception of reality in modern physics and
cosmology displays at times albeit arbitrary similarity with different
religious beliefs. In recent years, however, there has been an
emergence of a number of hypotheses, based on alternative
interpretations of quantum mechanics, which defy not only our common
sense and understanding of what is “material” and what is not, but even
reality of the existence of the world itself. The Copenhagen
interpretation of quantum physics, already mentioned, is a possible
consequence of what is known as the collapse of the wavefunction that
is one of the processes by which quantum systems apparently evolve.
There is an alternative way of perceiving the wavefunction collapse,
known as the Everett many-world interpretation. In
essence, in the Copenhagen interpretation, the mathematics of quantum
mechanics allows the probability of prediction of several alternative
events to take place. In the many-world interpretation, all these
events occur simultaneously, therefore creating a possibility for many,
possibly of an infinite number, of universes to exist simultaneously.
These universes may or may not interact with each other. The terms
parallel universe or multiverse are sometimes used to describe this
phenomenon. There is also the many-minds interpretation, which
postulates that it is only the observers’ minds that are split, instead
of the entire universe. Yet another hypothesis proposes the
formation of our universe from a “bubble” of a multiverse. It is known
as the theory of Inflationary Cosmology. The 2002 Dirac medal in
physics and cosmology was awarded to Alan Guth of the Massachusetts
Institute of Technology, to Paul Steinhard of Princeton University and
to Andrei Linde of Stanford University for the development of this
theory. In an interview with Jim Holt, a journalist with The New
Yorker, Andrei Linde stated: “When I invented chaotic inflation theory,
I found that the only thing you need to get a universe like ours is a
hundred-thousand of a gram of matter. That’s enough to create a small
chunk of vacuum that blows up into the billions of galaxies we see
around us… If somebody had told me that twenty-five years ago, I would
have thought he was crazy, but that’s what we’re getting this medal
for. It represents the acceptance of our theory by the general
community”. Inflationary cosmology and several alternative
current hypotheses are based on different interpretations of the nature
of dark matter in the universe. For example, Robert Caldwell of
Dartmouth College in New Hampshire advanced in 2003 the idea of
so-called “phantom energy”. In his view dark energy is likely to become
stronger, expanding space at an ever-increasing rate and creating a
“big rip”, which will result in the destruction of all the atomic
structure in the universe when the phantom energy exceeds in strength
the electromagnetic force. Another assumption, put forward by
Fred Adams of the University of Michigan, considers the scenario when
the dark energy stays constant. Our observable universe in this case
will ultimately consist only of dead stars surrounding a massive black
hole.Black holes were originally thought of as a singularity, or a
region of space-time where all known laws of physics break down and
nothing can escape their infinitely strong gravitational force. Black
holes cannot be seen by distant observers because light is trapped
inside by this very strong gravitational field. The boundary of a black
hole, which separates events that cannot be seen from outside from
those which can, is called an event horizon. But the latest hypothesis
suggests that ultimately even black holes will evaporate, so that in
the end every single particle in the universe will exist in complete
isolation inside its own horizon. Nothingness spreads around
us, but should we find something non-material, a psyche, or a soul in
this nothingness? Quoting Carl Gustav Jung (1875 – 1961): “Sooner or
later, nuclear physics and the psychology of the unconscious will draw
closer together, as both of them independently of one another and from
the opposite directions, push forward into transcendental territory”.This
brings us to the fundamental question which almost ended the life of
Count Lev Nikolaevich Tolstoy (1828 – 1910), a question which remains
unanswered to this day, and it seems will be answered not by science,
but in dogmas of blind faith of different religions, as these are
interpreted in a dissimilar way by each living human being. As
Tolstoy writes in his Confession (published in Geneva in 1884): “My
question, the question that brought me to the edge of suicide when I
was fifty years old, was the simplest question lying in the soul of
every human being, from a silly child to the wisest of elders, the
question without which life is impossible; such was the way I felt
about the matter. The question is this: What will come of what I do
today and tomorrow? What will come of my entire life? Expressed
differently, the question may be: Why should I live? Why should I wish
for anything or do something? Or to put it differently: Is there any
meaning in my life that will not be destroyed by my inevitably
approaching death?”Somehow I do not feel that Lord Bertrand
Arthur William Russell’s (1872 – 1970) agnostic view provides a viable
solution to the meaning of life, and I quote from his treatise What I
Believe (1925): “I believe that when I die I shall rot, and nothing of
my ego will survive. I am not young, and I love life. But I should
scorn to shiver with terror at the thought of annihilation. Happiness
is none the less true happiness because it must come to an end, nor do
thought and love lose their value because they are not everlasting”. Mainlander’s
vision that non-existence is better than existence provided one of the
theological doctrines of the creation of the universe of his vision,
which is destined to complete obliteration. The seeds of this idea were
evident not only in Schopenhauer’s pessimistic philosophy, as he mused
on the meaning of life: “The objective value of life is very uncertain,
and it remains at least doubtful whether existence is to be preferred
to non-existence…”, but even for a much more affable Voltaire the
problem of existence and non-existence was also a predicament: “On aime
le vie; mais le n�ant ne laisse pas d’avoir du bon”, i.e. “We like
life, but all the same nothingness also has its good points”, and also:
“Je ne sais pas ce que c’est que la vie �ternelle, mais celle-ci est
une mauvaise plaisanterie”, or “I do not know what eternal life is, but
this present life is a bad joke”. Boltzmann’s concept of
entropy can be seen as the scientific foundation for several of the
above doomsday scenarios. This presents us with the enigma which Marais
attempted to resolve: if all humans are mortal, and if a material world
is either unreal or doomed, what is the fate of a human psyche, of the
human soul? Our limited ability to perceive reality complicates this
issue further. A disciple of Bertrand Russell, Ludwig Josef Johann
Wittgenstein (1889 – 1951) in his Tractatus Logico-Philosophicus
deliberates on this ambiguity: “The limits of my language mean the
limits of my world. Logic pervades the world: the limits of the world
are also its limits. So we cannot say in logic, ’the world has this in
it, and this, but not that’. We cannot think what we cannot think; so
what we cannot think we cannot say either”. But even logical
contradictions never compelled billions of people practicing the most
diverse and contradictory religious beliefs to waver in their faith. As
Quintus Septimius Florens Tertullian (160 – 230), who was probably the
very first Christian apologist, proclaims in his De Carne Christi:
“Prorsus credibile est, quia ineptum est; certum est, quia
impossibile”, that is “It is thoroughly credible because it is absurd;
it is certain because it is impossible”. Max Karl Ernst Ludwig
Plank (1858 – 1947), celebrated for his creation of quantum theory, and
awarded in 1918 the Nobel Prize for his outstanding contribution to
science was of the opinion that there are some fundamental aspects of
nature which are beyond our perception, and I quote: “Science cannot
solve the ultimate mystery of nature. And it is because, in the last
analysis, we ourselves are part of the mystery we are trying to solve”.It
seems to me that each one of us will find the answer to the question of
the very essence of soul, the question presented to us by Marais, only
when we die, and obviously only if we do have a soul. ******A
Fellow of the Australian Academy of Technological Sciences and
Engineering since 1988, Dr. Aleksander Samarin is an Adjunct Professor,
Faculty of Science, University of Technology, Sydney.
3 replies since May 26 2005, 10:11 PM
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