10.ALBERT EINSTEIN 1879 - 1955.
Albert Einstein, the greatest scientist of the twentieth century and one of the supreme intellects of all time, is best known for his theory of relativity. There are actually two theories involved: the special theory of relativity, formulated in 1905, and the general theory of relativity, formulated in 1915, which might better be called Einstein's Iaw of gravitation. Both theories are highly complicated, and no attempt will be made to explain them here; however, a few comments on special relativity are in order.
A familiar maxim has it that "everything is
relative." Einstein's theory, however, is not a repetition of this philosophical platitude, but rather a precise mathematical statement of the way
in which scientific measurements are relative. It is obvious that subjective
perceptions of time and space depend on the observer. Before Einstein, however,
most people had always believed that behind these subjective impressions were
real distances and an absolute time, which accurate instruments could measure
objectively. Einstein's theory
revolutionized scientific thought by denying the existence of any absolute time. The following example may illustrate just how radically his theory revised our ideas of time and space.
revolutionized scientific thought by denying the existence of any absolute time. The following example may illustrate just how radically his theory revised our ideas of time and space.
Imagine a spaceship, spaceship X, moving away from Earth
at a speed of 100,000 kilometers per second. The speed is measured by observers
on both the spaceship and on Earth, and their measurements agree. Meanwhile,
another spaceship, spaceship Y, is
moving in exactly the same direction as spaceship X, but at a much greater speed. If observers on Earth
measure the speed of spaceship Y, they find that it is moving away from the Earth at a speed of 180,000
kilometers per second. Observers on spaceship Y will reach the same conclusion.
Now, as both spaceships are moving in the same direction,
it would seem that the difference in their speeds is 80,000 kilometers per
second, and that the faster ship must be moving away from the slower ship at
this rate.
However, Einstein's theory predicts that when
observations are taken from the two spaceships, observers on both ships will
agree that the distance between them is increasing at the rate of 100,000
kilometers per second, not 80,000 kilometers per second.
Now, on the face
of it such a result is ridiculous, and the reader may suspect that some trick
of wording is involved, or that some significant details of the problem have
not been mentioned. Not at all. The result has nothing to do with the details
of construction of the spaceships or with the forces used to propel them. Nor
is it due to any errors of observation, nor to any defects in the measuring instruments.
No trick is involved. According to Einstein, the foregoing result (which can
readily be computed from his formula for the composition of velocities) is a
consequence only of the basic nature of time and space.
Now, all
of this may seem awfully theoretical, and indeed for years many persons dismissed the theory of relativity as a sort
of "ivory tower" hypothesis, which had no practical significance. No
one, of course, has made that mistake since 1945, when atomic bombs were dropped on Hiroshima and Nagasaki. One of the
conclusions of Einstein's theory of relativity is that matter and energy are in a certain sense equivalent, and
the relation between them is given by the formula E = Mc2 in which E represents
energy, M equals mass, and c represents the speed of light. Now since c, which is equal to 186,000
miles per second, is a very large number, c2
(that is, c times c) is a simply
enormous number. It follows that even the partial conversion of a small amount
of matter will release tremendous quantities of energy.
One
cannot, of course, build an atomic bomb or a nuclear power plant simply from
the formula E = Mc2. It must
be borne in mind, too, that many other persons played important roles in the
development of atomic energy; however, the importance of Einstein's
contribution is indisputable. Furthermore, it was Einstein's letter to
President Roosevelt, in 1939, pointing out the possibility of developing atomic
weapons and stressing the importance of the United States developing such weapons before the Germans did, which helped launch the Manhattan Project, and
which led to the development of the first atomic bomb.
Special relativity aroused heated
controversy, but on one point everyone was agreed; it was the most
mind boggling scientific theory that would ever be invented. But everyone was
wrong, for Einstein's general theory of relativity takes as a starting point
the premise that gravitational effects are not due to physical forces in the normal sense of the word, but rather result
from a curvature of space itself a truly astonishing idea!
How can one measure a curvature of space itself? What does
it even mean to say that space
is curved? Einstein had not only advanced such a theory, but he had
put his theory in a clear mathematical form, from which explicit predictions
could be made and his hypothesis tested. Subsequent observations the most celebrated of which are those made during
total eclipses of the sun have repeatedly confirmed the correctness of
Einstein's equations.
The
general theory of relativity stands apart in several ways from all other
scientific laws. In the first place, Einstein derived his theory not on the basis of careful experiments, but rather on
grounds of symmetry and mathematical elegance on rationalistic grounds, as the
Greek philosophers and the medieval scholastics had attempted to do. (In so
doing, he ran counter to the basically empirical outlook of modern science.)
But whereas the Greeks, in their search for beauty and symmetry, had never
managed to find a mechanical theory that could survive the crucial test of experiment, Einstein's theory has
so far successfully withstood every test. One result of Einstein's
approach is that the general theory of relativity is generally acknowledged to
be the most beautiful, elegant, powerful, and intellectually satisfying of all
scientific theories.
General
relativity stands apart in another way also. Most other scientific laws are
only approximately valid. They hold in many
circumstances, but not in all. So far as we know, however, there are no
exceptions at all to the general theory of relativity. There is no known
circumstance, either theoretical or experimental, in which the predictions of
general relativity are only approximately valid. Future experiments may mar the
theory's perfect record; but so far the general theory of relativity remains the closest approach to ultimate truth
that
any scientist has yet devised.
any scientist has yet devised.
Though Einstein is best known for his theories
of relativity, his other scientific
achievements would have won him renown as a scientist in any case. In
fact, Einstein was awarded the Nobel Prize in physics primarily for his paper
explaining the photoelectric effect, an important phenomenon that had
previously puzzled physicists. In that paper, he postulated the existence of photons, or particles of light.
The atomic bomb explodes at Hiroshima, August 6, 1945.
Since it had been long established through interference
experiments that light consisted of electromagnetic waves, and since it was
considered "obvious" that waves and particles were antithetical
concepts, Einstein's hypothesis represented a radical and paradoxical break
with classical theory. Not only did his photoelectric law turn out to have
important practical applications, but his hypothesis of the photon had a major
influence on the development of quantum theory, and is today an integral part
of that theory.
In evaluating Einstein's importance,
a comparison with Isaac Newton is revealing. Newton's theories were basically
easy to understand, and his genius lay in being the first to develop them.
Einstein's theories of relativity, on the other hand, are extremely difficult
to understand, even when they are carefully explained. How much more
difficult, therefore, to devise them originally! While some of Newton's ideas
were in strong contradiction to the
prevailing scientific ideas of his time, his theory never appeared to
lack self-consistency. The theory of relativity, on the other hand, abounds
with paradoxes. It was part of Einstein's
genius that at the beginning, when his ideas were still the untested hypothesis of an unknown teenager, he
did not let these apparent contradictions cause him to discard his
theories. Rather, he carefully thought them through until he could show that
these contradictions were apparent only, and that in each case there was a subtle but correct way of
resolving the paradox.
Today, we think
of Einstein's theory as being basically more
"correct" than Newton's. Why, then, is Einstein lower on this list?
Primarily because it was Newton's theories that laid the groundwork for modern science and technology. Most
of modern technology would be the same today had only Newton's work been
done, and not Einstein's.
There is another
factor which affects Einstein's place on this
list. In most cases, many men have contributed to the development of an
important idea, as was obviously the case in the history of socialism, or in
the development of the theory of electricity and magnetism. Though Einstein
does not deserve 100 percent of the credit for the
invention of the theory of relativity, he certainly deserves most of it. It
seems fair to say that, to a larger degree than is the case for any other ideas
of comparable importance, the theories of relativity are primarily the creation
of a single, outstanding genius.
Einstein
was born in 1879, in the city of Ulm, Germany. He attended high school in Switzerland, and became a Swiss citizen
in the year 1900. He received his Ph.D. in 1905 from the University of Zürich, but was unable to find an academic position at that time. However, that same
year, he published his papers on special relativity, on the photoelectric
effect, and on the theory of Brownian motion. Within a few years, these papers,
particularly the one on relativity,
established his reputation as one of the
most brilliant and original scientists in the world. His theories were
highly controversial; no modern scientist except Darwin has ever engendered as much controversy as Einstein. In spite of
this, in 1913 he was appointed a professor at the University of Berlin, at the same time becoming director of the
Kaiser Wilhelm Institute of Physics and a member of the Prussian Academy
of Science. These posts left him free to devote his full time to research, if
he so chose.
The German government had little
reason to regret offering Einstein this
unusually generous package, for just two years later he succeeded in
formulating the general theory of relativity, and in 1921 he was awarded the
Nobel Prize. For the last half of his life, Einstein was world famous, in all
probability the most famous scientist that ever lived.
Since Einstein was Jewish, his situation in Germany
became precarious when Hitler rose to
power. In 1933, he moved to Princeton, New Jersey, to work at the Institute for
Advanced Study, and in 1940 he became a United States citizen. Einstein's first
marriage ended in divorce; his second was apparently happy. He had two
children, both boys. He died in 1955, in Princeton.
Einstein was always interested in the human world about
him, and frequently expressed his views on political matters. He was a consistent opponent of political tyranny, an ardent pacifist, and a firm supporter of Zionism. In
matters of dress and social conventions, he was a marked individualist.
He had a fine sense of humor, a becoming modesty, and some talent as a
violinist. The inscription on Newton's tomb might be applied even more
appropriately to Einstein: "Let mortals rejoice that so great an ornament
to the human race has existed!"
Einstein discusses his theories.
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