CHAPTER
12
CONCLUSION
We find ourselves in a bewildering world. We want to
make sense of what we see around us and to ask: What is the nature
of the universe? What is our place in it and where did it and
we come from? Why is it the way it is?
To
try to answer these questions we adopt some world picture.
Just as an infinite tower of tortoises supporting the fiat earth
is such a picture, so is the theory of superstrings. Both are theories
of the universe, though the latter is much more mathematical and
precise than the former. Both theories lack observational evidence:
no one has ever seen a giant tortoise with the earth on its back,
but then, no one has seen a superstring either. However, the tortoise
theory fails to be a good scientific theory because it predicts
that people should be able to fall off the edge of the world. This
has not been found to agree with experience, unless that turns out
to be the explanation for the people who are supposed to have disappeared
in the Bermuda Triangle!
The
earliest theoretical attempts to describe and explain the universe
involved the idea that events and natural phenomena were controlled
by spirits with human emotions who acted in a very humanlike and
unpredictable manner. These spirits inhabited natural objects, like
rivers and mountains, including celestial bodies, like the sun and
moon. They had to be placated and their favor sought in order to
ensure the fertility of the soil and the rotation of the seasons.
Gradually, however, it must have been noticed that there were certain
regularities: the sun always rose in the east and set in the west,
whether or not a sacrifice had been made to the sun god. Further,
the sun, the moon, and the planets followed precise paths across
the sky that could be predicted in advance with considerable accuracy.
The sun and the moon might still be gods, but they were gods who
obeyed strict laws, apparently without any exceptions, if one discounts
stories like that of the sun stopping for Joshua.
At
first, these regularities and laws were obvious only in astronomy
and a few other situations. However, as civilization developed,
and particularly in the last 300 years, more and more regularities
and laws were discovered. The success of these laws led Laplace
at the beginning of the nineteenth century to postulate scientific
determinism; that is, he suggested that there would be a set of
laws that would determine the evolution of the universe precisely,
given its configuration at one time.
Laplaces
determinism was incomplete in two ways. It did not say how the laws
should be chosen and it did not specify the initial configuration
of the universe. These were left to God. God would choose how the
universe began and what laws it obeyed, but he would not intervene
in the universe once it had started. In effect, God was confined
to the areas that nineteenth-century science did not understand.
We
now know that Laplaces hopes of determinism cannot be realized,
at least in the terms he had in mind. The uncertainty principle
of quantum mechanics implies that certain pairs of quantities, such
as the position and velocity of a particle, cannot both be predicted
with complete accuracy. Quantum mechanics deals with this situation
via a class of quantum theories in which particles dont have
well-defined positions and velocities but are represented by a wave.
These quantum theories are deterministic in the sense that they
give laws for the evolution of the wave with time. Thus if one knows
the wave at one time, one can calculate it at any other time. The
unpredictable, random element comes in only when we try to interpret
the wave in terms of the positions and velocities of particles.
But maybe that is our mistake: maybe there are no particle positions
and velocities, but only waves. It is just that we try to fit the
waves to our preconceived ideas of positions and velocities. The
resulting mismatch is the cause of the apparent unpredictability.
In
effect, we have redefined the task of science to be the discovery
of laws that will enable us to predict events up to the limits set
by the uncertainty principle. The question remains, however: how
or why were the laws and the initial state of the universe chosen?
In
this book I have given special prominence to the laws that govern
gravity, because it is gravity that shapes the large-scale structure
of the universe, even though it is the weakest of the four categories
of forces. The laws of gravity were incompatible with the view held
until quite recently that the universe is unchanging in time: the
fact that gravity is always attractive implies that the universe
must be either expanding or contracting. According to the general
theory of relativity, there must have been a state of infinite density
in the past, the big bang, which would have been an effective beginning
of time. Similarly, if the whole universe recollapsed, there must
be another state of infinite density in the future, the big crunch,
which would be an end of time. Even if the whole universe did not
recollapse, there would be singularities in any localized regions
that collapsed to form black holes. These singularities would be
an end of time for anyone who fell into the black hole. At the big
bang and other singularities, all the laws would have broken down,
so God would still have had complete freedom to choose what happened
and how the universe began.
When
we combine quantum mechanics with general relativity, there seems
to be a new possibility that did not arise before: that space and
time together might form a finite, four-dimensional space without
singularities or boundaries, like the surface of the earth but with
more dimensions. It seems that this idea could explain many of the
observed features of the universe, such as its large-scale uniformity
and also the smaller-scale departures from homogeneity, like galaxies,
stars, and even human beings. It could even account for the arrow
of time that we observe. But if the universe is completely self-contained,
with no singularities or boundaries, and completely described by
a unified theory, that has profound implications for the role of
God as Creator.
Einstein
once asked the question: How much choice did God have in constructing
the universe? If the no boundary proposal is correct, he had
no freedom at all to choose initial conditions. He would, of course,
still have had the freedom to choose the laws that the universe
obeyed. This, however, may not really have been all that much of
a choice; there may well be only one, or a small number, of complete
unified theories, such as the heterotic string theory, that are
self-consistent and allow the existence of structures as complicated
as human beings who can investigate the laws of the universe and
ask about the nature of God.
Even
if there is only one possible unified theory, it is just a set of
rules and equations. What is it that breathes fire into the equations
and makes a universe for them to describe? The usual approach of
science of constructing a mathematical model cannot answer the questions
of why there should be a universe for the model to describe. Why
does the universe go to all the bother of existing? Is the unified
theory so compelling that it brings about its own existence? Or
does it need a creator, and, if so, does he have any other effect
on the universe? And who created him?
Up
to now, most scientists have been too occupied with the development
of new theories that describe what the universe is to ask
the question why. On the other hand, the people whose business
it is to ask why, the philosophers, have not been able to
keep up with the advance of scientific theories. In the eighteenth
century, philosophers considered the whole of human knowledge, including
science, to be their field and discussed questions such as: did
the universe have a beginning? However, in the nineteenth and twentieth
centuries, science became too technical and mathematical for the
philosophers, or anyone else except a few specialists. Philosophers
reduced the scope of their inquiries so much that Wittgenstein,
the most famous philosopher of this century, said, The sole
remaining task for philosophy is the analysis of language.
What a comedown from the great tradition of philosophy from Aristotle
to Kant!
However,
if we do discover a complete theory, it should in time be understandable
in broad principle by everyone, not just a few scientists. Then
we shall all, philosophers, scientists, and just ordinary people,
be able to take part in the discussion of the question of why it
is that we and the universe exist. If we find the answer to that,
it would be the ultimate triumph of human reason for then
we would know the mind of God.
ALBERT
EINSTEIN
Einsteins
connection with the politics of the nuclear bomb is well known:
he signed the famous letter to President Franklin Roosevelt that
persuaded the United States to take the idea seriously, and he engaged
in postwar efforts to prevent nuclear war. But these were not just
the isolated actions of a scientist dragged into the world of politics.
Einsteins life was, in fact, to use his own words, divided
between politics and equations.
Einsteins
earliest political activity came during the First World War, when
he was a professor in Berlin. Sickened by what he saw as the waste
of human lives, he became involved in antiwar demonstrations. His
advocacy of civil disobedience and public encouragement of people
to refuse conscription did little to endear him to his colleagues.
Then, following the war, he directed his efforts toward reconciliation
and improving international relations. This too did not make him
popular, and soon his politics were making it difficult for him
to visit the United States, even to give lectures.
Einsteins
second great cause was Zionism. Although he was Jewish by descent,
Einstein rejected the biblical idea of God. However, a growing awareness
of anti-Semitism, both before and during the First World War, led
him gradually to identify with the Jewish community, and later to
become an outspoken supporter of Zionism. Once more unpopularity
did not stop him from speaking his mind. His theories came under
attack; an anti-Einstein organization was even set up. One man was
convicted of inciting others to murder Einstein (and fined a mere
six dollars). But Einstein was phlegmatic. When a book was published
entitled 100 Authors Against Einstein, he retorted, If
I were wrong, then one would have been enough!
In
1933, Hitler came to power. Einstein was in America, and declared
he would not return to Germany. Then, while Nazi militia raided
his house and confiscated his bank account, a Berlin newspaper displayed
the headline Good News from Einstein Hes Not
Coming Back. In the face of the Nazi threat, Einstein renounced
pacifism, and eventually, fearing that German scientists would build
a nuclear bomb, proposed that the United States should develop its
own. But even before the first atomic bomb had been detonated, he
was publicly warning of the dangers of nuclear war and proposing
international control of nuclear weaponry.
Throughout
his life, Einsteins efforts toward peace probably achieved
little that would last and certainly won him few friends.
His vocal support of the Zionist cause, however, was duly recognized
in 1952, when he was offered the presidency of Israel. He declined,
saying he thought he was too naive in politics. But perhaps his
real reason was different: to quote him again, Equations are
more important to me, because politics is for the present, but an
equation is something for eternity.
GALILEO
GALILEI
Galileo,
perhaps more than any other single person, was responsible for the
birth of modern science. His renowned conflict with the Catholic
Church was central to his philosophy, for Galileo was one of the
first to argue that man could hope to understand how the world works,
and, moreover, that we could do this by observing the real world.
Galileo
had believed Copernican theory (that the planets orbited the sun)
since early on, but it was only when he found the evidence needed
to support the idea that he started to publicly support it. He wrote
about Copernicuss theory in Italian (not the usual academic
Latin), and soon his views became widely supported outside the universities.
This annoyed the Aristotelian professors, who united against him
seeking to persuade the Catholic Church to ban Copernicanism.
Galileo,
worried by this, traveled to Rome to speak to the ecclesiastical
authorities. He argued that the Bible was not intended to tell us
anything about scientific theories, and that it was usual to assume
that, where the Bible conflicted with common sense, it was being
allegorical. But the Church was afraid of a scandal that might undermine
its fight against Protestantism, and so took repressive measures.
It declared Copernicanism false and erroneous in 1616,
and commanded Galileo never again to defend or hold
the doctrine. Galileo acquiesced.
In
1623, a longtime friend of Galileos became the Pope. Immediately
Galileo tried to get the 1616 decree revoked. He failed, but he
did manage to get permission to write a book discussing both Aristotelian
and Copernican theories, on two conditions: he would not take sides
and would come to the conclusion that man could in any case not
determine how the world worked because God could bring about the
same effects in ways unimagined by man, who could not place restrictions
on Gods omnipotence.
The
book, Dialogue Concerning the Two Chief World Systems, was
completed and published in 1632, with the full backing of the censors
and was immediately greeted throughout Europe as a literary
and philosophical masterpiece. Soon the Pope, realizing that people
were seeing the book as a convincing argument in favor of Copernicanism,
regretted having allowed its publication. The Pope argued that although
the book had the official blessing of the censors, Galileo had nevertheless
contravened the 1616 decree. He brought Galileo before the Inquisition,
who sentenced him to house arrest for life and commanded him to
publicly renounce Copernicanism. For a second time, Galileo acquiesced.
Galileo
remained a faithful Catholic, but his belief in the independence
of science had not been crushed. Four years before his death in
1642, while he was still under house arrest, the manuscript of his
second major book was smuggled to a publisher in Holland. It was
this work, referred to as Two New Sciences, even more than
his support for Copernicus, that was to be the genesis of modern
physics.
ISAAC
NEWTON
Isaac
Newton was not a pleasant man. His relations with other academics
were notorious, with most of his later life spent embroiled in heated
disputes. Following publication of Principia Mathematica
surely the most influential book ever written in physics
Newton had risen rapidly into public prominence. He was appointed
president of the Royal Society and became the first scientist ever
to be knighted.
Newton
soon clashed with the Astronomer Royal, John Flamsteed, who had
earlier provided Newton with much-needed data for Principia,
but was now withholding information that Newton wanted. Newton
would not take no for an answer: he had himself appointed to the
governing body of the Royal Observatory and then tried to force
immediate publication of the data. Eventually he arranged for Flamsteeds
work to be seized and prepared for publication by Flamsteeds
mortal enemy, Edmond Halley. But Flamsteed took the case to court
and, in the nick of time, won a court order preventing distribution
of the stolen work. Newton was incensed and sought his revenge by
systematically deleting all references to Flamsteed in later editions
of Principia.
A
more serious dispute arose with the German philosopher Gottfried
Leibniz. Both Leibniz and Newton had independently developed a branch
of mathematics called calculus, which underlies most of modern physics.
Although we now know that Newton discovered calculus years before
Leibniz, he published his work much later. A major row ensued over
who had been first, with scientists vigorously defending both contenders.
It is remarkable, however, that most of the articles appearing in
defense of Newton were originally written by his own hand
and only published in the name of friends! As the row grew, Leibniz
made the mistake of appealing to the Royal Society to resolve the
dispute. Newton, as president, appointed an impartial
committee to investigate, coincidentally consisting entirely of
Newtons friends! But that was not all: Newton then wrote the
committees report himself and had the Royal Society publish
it, officially accusing Leibniz of plagiarism. Still unsatisfied,
he then wrote an anonymous review of the report in the Royal Societys
own periodical. Following the death of Leibniz, Newton is reported
to have declared that he had taken great satisfaction in breaking
Leibnizs heart.
During
the period of these two disputes, Newton had already left Cambridge
and academe. He had been active in anti-Catholic politics at Cambridge,
and later in Parliament, and was rewarded eventually with the lucrative
post of Warden of the Royal Mint. Here he used his talents for deviousness
and vitriol in a more socially acceptable way, successfully conducting
a major campaign against counterfeiting, even sending several men
to their death on the gallows.
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