Faith in The Simple
Science's Belief of A Conceptually Simple Nature
Copyright © 1995 Garret Wilson
Honors 2013-03 - February 28, 1995
Science has yet to form a "theory of everything," a precise explanation that
by itself explains all the forces of nature. However, many believe that science is getting
close to forming such a Grand Unified Theory, and it is beginning to take shape what this
theory will resemble, even though its specific components have not yet been found. Among
its attributes is that it will be simple in concept and "beautiful"; that is, it
will be mathematically pleasing, as if "that's the way it logically should
be."
Stephen Hawking, Lucasian Professor of Mathematics at Cambridge University and
considered by many to be the most brilliant theoretical physicist since Einstein, claims
that, "if we do discover a complete theory it should in time be understandable in
broad principles by everyone, not just a few scientists" (Hawking,
175). There is also a belief that it will be beautiful. Michio Kaku, Professor of
Theoretical Physics at the City College of the City University of New York, sees the
equations of physics as the poems of nature: "They are short and are organized
according to some principle, and the most beautiful of them convey the hidden symmetries
of nature." (Kaku, 130). Physicist Richard Feynman believes that
"you can recognize truth by its beauty and simplicity. When you get it right, it is
obvious that it is right...The truth always turns out to be simpler than you
thought." (Kaku, 130).
But what is the basis of this belief of the scientific community that nature is easy to
understand and symmetrically beautiful? There are many reasons. For starters, if it were
not easy to understand, people could not understand it. This is perhaps circular
reasoning, stating that the only reason we understand what we do is because it is
understandable. (This is similar to the anthropic principle, which states that the reason
the universe seems to have just the right conditions for life is that if it didn't,
we wouldn't be here to ask about it.) Science wants the world to be understandable;
if it were not, we wouldn't know it, precisely because it would then not be
understandable. But perhaps the most obvious reason is that of experience: overall,
history has slowly guided science through a process of reducing multiple theories into a
smaller number of more concise theories that not only explain more, but that are easier to
understand. As time goes by, new theories are formed that better explain the universe
around us, are simpler, and explain what before were explained by multiple theories.
Indeed, one of the goals (if not the ultimate goal) of physics is to find a so-called
Grand Unified Theory that, by itself, will explain anything and everything in the
universe.
One of the first major advances in physical theories, and one of the most important,
was the formation of the Newtonian physical laws. With the foundations laid by Isaac
Newton in the seventeenth century, these laws eventually would, with simplicity, explain
all of the known universe up to the late nineteenth century. A portion of these laws, Newton's
laws of motion and gravity, summed up what one would expect from gravity acting on
bodies of matter:
- Every object moves uniformly in a straight line unless acted on by a force.
- When a force does act, the object's velocity changes at a rate proportional to the
force and inversely proportional to its mass.
- Between any two objects in the Universe there acts a gravitational force that is
proportional to the product of their masses and inversely proportional to the square of
their separation. (Thorne, 61).
Scientists could use these simple principles to predict orbits of planets, tides, and
even learn the weight of the Earth. This theory is simple to understand. It is
mathematically elegant. As Professor Evans has noted, the gravitational force is simple
products of masses and inverse proportions of squares, not something complicated, such as
inversely proportional to the 5/3 root of the separation times 2e times pi.
However beautiful and precise these Newtonian principles are, they lie on certain
principles that are fundamentally incorrect. (This does not however contradict the
"beauty and simplicity of nature" assumption, as will be seen later). They
assume that objects move through an absolute space in absolute time, which is not the way
the world is. However, the differences between the predictions and what actually exists
are so minute that they are not relevant in most normal processes, such as the orbit of
the moon or someone driving a car down Memorial. The discrepancies are so small in normal
life that it was only later that technology increased to the point that measurements could
be accurate enough to measure them, at velocities closer to the speed of light. Indeed, as
pointed out by Professor Duncan, "rocket scientists" still use these
"flawed" simple principles for everyday activities, because they produce results
close enough to the corret answers that discrepancies do not matter.
In 1864, James Clerk Maxwell formulated a set of elegant electromagnetic laws. Using
these laws, it was possible for one to deduce all electromagnetic phenomena such as
behaviors of magnets, electric sparks, electric circuits, radio waves and light (Thorne, 62). These laws, if calculated in terms of electric and
magnetic fields for an object at rest in absolute space, were simple and beautiful.
However, if one attempted to use these laws for a person in motion, they became complex
and "ugly," involving a complex pattern of magnetic field lines getting cut,
healing, getting recut, and so forth. Some beauty could be brought back by claiming that
magnetic field lines never end, but this would require, through a certain process of
logical reasoning, that all moving objects get contracted along their direction of motion,
which was contrary to Newtonian precepts. If these logical musing were to be followed,
other conclusions concerning time were inescapable, but these conclusions were ignored by
most, and it would take the genius of others to take them to their fullest extent, and
create a more perfect, beautiful theory (Thorne, 66).
A clerk in the Swiss patent office solved all of these problems. Albert Einstein showed
that the solution to the "ugliness" of Maxwell's theory in motion, one had
to abandon the Newtonian idea of absolute time (Hawking, 20). Time
was then relative; each person has his/her own personal time that advances independently
of all others. Time and space were no longer separate entities, under this idea, but are
different aspects of "space-time." Another aspect of these ideas of relativity
stated that matter can be changed into energy and vice-versa. This concept can be stated
simply and precisely in the famous equation e=mc2. This new idea, while
radical, was a) simple, b) straightforward, c) self-consistent in its relevant range (more
on this later), and d) explained many principles that before had taken separate theories
to explain.
As already noted, this simple idea did not make it imperative that one abandon the
Newtonian idea of motion and Maxwell's equations for electromagnetism. Both of these
are used in the normal "real world" for most calculations pertaining to the
environment one normally sees. Although Einstein's theories invalidated them for
certain areas outside the range in which humans operate, it actually combined them with
the idea of a combined space-time. This simple concept allows one to derive the same
results (inside the relevant range) as the Newtonian and Maxwellian principles. It
combines them, reducing them to a single, simple theory that is more accurate.
Each of the preceding theories have a relevant range that is, the range of inputs for
which it gives valid answers. For the Newtonian theory, it is seen that its relevant range
is that of the visible world, the everyday happenings that one deals with. When object
move very quickly (close to the speed of light) or gravitation gets intensified enormously
(such as near neutron stars), Newtonian physics break down. Einstein's theories of
relativity extended the relevant range of Newtonian physics by accurately predicting what
would happen to objects in the instances mentioned earlier. Yet, the theory was still
simple, and beautiful. However, even Einstein's theories have their limitations. In
the domain of the very small, even below the atomic level, scientists must use other
theories to tell what will happen to the seemingly infinitely smaller particles that have
been found. The ideas governing the ultra-small are termed quantum theory. To
summarize, quantum theory says that:
- Forces are created by the exchange of discrete packets of energy called quanta.
- Different forces are caused by the exchange of different quanta.
- One can never know simultaneously the velocity and position of a subatomic particle. (Kaku, 112-113).
Kip Thorne, the Feynman Professor of Theoretical Physics at the California Institute of
Technology, has this to say of quantum theory, and of scientific theories in general:
Why do I expect convergence in terms of predictions? Because all the evidence we have
points to it. Each set of laws has a larger domain of validity than the sets that preceded
it: Newton's laws work throughout the domain of everyday life, but not in
physicists' particle accelerators and not in exotic parts of the distant Universe,
such as pulsars, quasars, and black holes; Einstein's general relativity laws work
everywhere in our laboratories, and everywhere in the distant Universe, except deep inside
black holes and in the big bang where the Universe was born; the laws of quantum gravity
(which we do not yet understand at all well) may turn out to work absolutely everywhere (Thorne, 86).
Quantum theory in many respects yields strange results that defy common sense, but have
time and again been tested and verified in the laboratory. One problem with quantum
theory, however, is that it seems to go against the reductive, simple, beautiful
qualifications of theories of nature that science, through experience, have come to
expect. The more energy that is added in particle accelerators, and the more scientists
smash atoms into smaller pieces, the more smaller particles are found, which are in many
cases strange and complicated. Quantum theory seems to be saying that, instead of one
simple, inclusive reason for matter, matter is instead made up of many kinds of unlike
particles. These particles may in time be broken down to the point where nothing is left!
This would mean that what one perceives as matter is nothing more than the interaction of
different forces.
The four known forces are the electromagnetic force, the strong nuclear force, the weak
nuclear force, and the gravitational force (Kaku, 13-15). These forces
are very diverse, and many have attempted to combine them (even Einstein himself!) into
one collective theory. All unification attempts have failed. However, through recent
developments, hope seems to be in sight. Recently, new theories have been developed that
may in time be the single theory that encompasses and explains all observable phenomena.
This would again reiterate what experience has shown: that nature can be explained by
simple, beautiful, self-consistent ideas.
In the constant effort to combine the four forces, the ideas of relativity, and the
uncertainty provided by quantum mechanics, a new theory became popular that is still very
popular today. This theory has many variations and is in no wise close to being completely
established (or even testable, to a large extent), but it has indications of combining all
theories about the universe by literally adding other dimensions. This theory, called superstring
theory, claims that all the particles are simply vibrations of "strings" in
other dimensions of space-time (Kaku, 153). Like different frequencies
of a guitar string, these superstrings have certain patterns in their existence and
interaction with one another that they give the impression of particles.
Superstring theory is not new; it has been around since the 1960's (Hawking,
160), and multidimensional models have been around for much longer. As scientific
knowledge increases and theorizing evolves, the ability to use this idea and to refine it
increases. Currently, many scientists believe that superstring theory may hold the answer
to the combining of everything known. These superstrings, according to current thought,
only produce stable results in a certain number of dimensions: namely, 10 or 26 (Hawking, 162). This is certainly not the usual four (three spatial
dimensions, plus time) that humans are used to seeing. The other dimensions are unseen
because they are curled up into a very small space, much like rolling a two-dimensional
sheet of paper into a long tube to the point that it seems to have only one dimension,
length.
While superstring theory has many aspects that are just beginning to be developed (the
ones mentioned only being a very small part of the overall developments), it is
nonetheless giving indications that a theory can be formed that can derive the results of
quantum theory and the diverse forces by a conceptually simple model. This model, in
higher dimensions, may make understanding of the universe much easier than is possible
today. What one sees now is very likely a theory in the making; a theory that is, if not
the "ultimate theory," then possibly something close. It is giving indications
that the "theory of everything" may continue the process that has been
constantly occurring in science, giving it the faith in a nature that can be understood in
a simple, self-consistent, and elegant way.
Works Cited
- Hawking, Stephen W. A Brief History of Time. New York, N.Y.:
Bantam Books, 1988
- Kaku, Michio. Hyperspace. New York, N.Y.: Oxford University
Press, 1994
- Thorne, Kip S. Black Holes And Time Warps. New York, N.Y.: W.
W. Norton & Company, 1994