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straightforward manner. There is an analog of this to computing machines and |
computfing elements, in that they also have a lot of lines, and they have some |
kind of element, analogous, perhaps, to the synapse, or connection oŸ one nerve |
to another. 'Phis is a very interesting subject which we have not the time to |
discuss further——the relationship between thinking and computing machines. lt |
must be appreciated, of course, that this subject will tell us very little about the |
real complexities of ordinary human behavior. All human beings are so diferent. |
It will be a long time before we get there. We must start much further back. If |
we could even fñgure out how a đoøg works, we would have gone pretty far. Dogs |
are easier to understand, but nobody yet knows how dogs work. |
3-7 How did it get that way? |
In order for physics to be useful to other selences in a #heoretical way, other |
than in the invention of instruments, the science in question must supply to the |
--- Trang 83 --- |
physicist a description of the object in a physicist's language. They can say “why |
does a frog jump?,” and the physicist cannot answer. T they tell hm what a frog |
1s, that there are so many molecules, there is a nerve here, etc., that is diferent. |
Tf they will tell us, more or less, what the earth or the stars are like, then we |
can figure it out. In order for physical theory to be of any use, we must know |
where the atoms are located. In order to understand the chemistry, we must |
know exactly what atoms are present, for otherwise we cannot analyze it. That |
1s but one limitation, of course. |
'There is another kinđ of problem in the sister seiences which does not exist in |
physics; we might call it, for lack of a better term, the historical question. How |
dịd it get that way? IÝ we understand all about biology, we will want to know how |
all the things which are on the earth got there. There is the theory of evolution, |
an important part of biology. In geology, we not only want to know how the |
mmountains are forming, but how the entire earth was formed in the beginning, |
the origin of the solar system, etc. 'That, of course, leads us to want to know |
what kind of matter there was in the world. How did the stars evolve? What |
were 0he initial conditions? “That is the problem of astronomical history. A great |
deal has been found out about the formation of stars, the formation of elements |
from which we were made, and even a little about the origin of the universe. |
There is no historical question being studied in physics at the present time. |
W© do not have a question, “Here are the laws of physics, how did they get that |
way?” We do not imagine, at the moment, that the laws of physics are somehow |
changing with time, that they were diferent in the past than they are a% present. |
Of course they may be, and the moment we ñnd they øre, the historical question |
of physics will be wrapped up with the rest of the history of the universe, and then |
the physicist will be talking about the same problems as astronomers, geologists, |
and biologists. |
Finally, there is a physical problem that is commmon to many fields, that is very |
old, and that has not been solved. It is not the problem of nding new fundamental |
particles, but something left over from a long time ago—over a hundred years. |
Nobody in physics has really been able to analyze it mathematically satisfactorily |
in spite of its importance to the sister sciences. Ït is the analysis of c#rculafing or |
turbulent ffưids. TÝ we watch the evolution of a star, there comes a point where we |
can deduce that it is goïing to start convection, and thereafter we can no longer |
deduce what should happen. AÁ few million years later the star explodes, but we |
cannot fñgure out the reason. We cannot analyze the weather. We do not know |
the patterns of motions that there should be inside the earth. The simplest form |
--- Trang 84 --- |
of the problem is to take a pipe that is very long and push water through i% at |
high speed. We ask: to push a given amount of water through that pipe, how |
much pressure is needed? No one can analyze it from first principles and the |
properties of water. If the water ows very slowly, or if we use a thick goo like |
honey, then we can do it nicely. You will ñnd that in your textbook. What we |
really cannot do is deal with actual, wet water running through a pipe. That is |
the central problem which we ought to solve some day, and we have not. |
A poet once said, “The whole universe is in a glass of wine” We will probably |
never know in what sense he meant that, for poets do not write to be understood. |
But it is true that if we look at a glass of wine closely enough we see the |
entire universe. 'There are the things of physics: the twisting liquid which |
evaporates depending on the wind and weather, the refections in the glass, and |
our imagination adds the atoms. 'Phe glass is a distillation of the earth”s rocks, |
and in its composition we see the secrets of the universe's age, and the evolution |
Of stars. What strange array of chemicals are in the wine? How did they come |
to be? 'Phere are the ferments, the enzymes, the substrates, and the products. |
There in wine is found the great generalization: all life is fermentation. Nobody |
can discover the chemistry of wine without discovering, as did Louis Pasteur, the |
cause of much disease. How vivid is the claret, pressing its existence into the |
consciousness that watches it! TỶ our small minds, for some convenience, divide |
this glass of wine, this universe, into parts—physics, biology, geology, astronomy, |
psychology, and so on—remember that nature does not know itl So let us put |
it all back together, not forgetting ultimately what it is for. Let it give us one |
more fñinal pleasure: drink it and forget it all |
--- Trang 85 --- |
(©ortsor-'terffore œŸ F rt©r'JgJ/ |
4-1 What is energy? |
In this chapter, we begin our more detailed study of the diferent aspects of |
physics, having fñnished our description of things in general. To ilustrate the |
ideas and the kind of reasoning that might be used in theoretical physics, we shall |
now examine one of the most basic laws of physics, the conservation of energy. |
There is a fact, or if you wish, a ia, governing all natural phenomena that |
are known to date. There is no known exception to this law—it is exact so far as |
we know. 'Phe law is called the conseruation oƒ energ. It states that there is |
a certain quantity, which we call energy, that does not change In the manifold |
changes which nature undergoes. hat is a most abstract idea, because 1W is a |
mathematical principle; 1% says that there is a numerical quantity which does |
not change when something happens. Ït is not a description of a mechanism, or |
anything concrete; it is just a strange fact that we can calculate some number and |
when we fnish watching nature go through her tricks and calculate the number |
again, it is the same. (Something like the bishop on a red square, and after a |
number of moves—details unknown——it is still on some red square. ÏIt is a law of |
this nature.) Since it is an abstract idea, we shall illustrate the meaning of it by |
an analogy. |
TImagine a child, perhaps “Dennis the Menace,” who has blocks which are |
absolutely indestructible, and cannot be divided into pieces. Each is the same |
as the other. Let us suppose that he has 28 blocks. His mother puts him with |
his 28 blocks into a room at the beginning of the day. At the end of the day, |
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