There is a general principle to which the theory of relativity appeals,
which turns out to be more powerful than anybody would suppose. If
you know that one man is twice as rich as another, this fact must
appear equally whether you estimate the wealth of both in pounds or
dollars or francs or any other currency. The numbers representing their
fortunes will be changed, but one number will always be double the
other. The same sort of thing, in more complicated forms, reappears in
physics. Since all motion is relative, you may take any body you like
as your standard body of reference, and estimate all other motions
with reference to that one. If you are in a train and walking to the
dining-car, you naturally, for the moment, treat the train as fixed
and estimate your motion by relation to it. But when you think of the
journey you are making, you think of the earth as fixed, and say you
are moving at the rate of sixty miles an hour. An astronomer who is
concerned with the solar system takes the sun as fixed, and regards you
as rotating and revolving; in comparison with this motion, that of the
train is so slow that it hardly counts. An astronomer who is interested
in the stellar universe may add the motion of the sun relatively to
the average of the stars. You cannot say that one of these ways of
estimating your motion is more correct than another; each is perfectly
correct as soon as the reference body is assigned. Now just as you can
estimate a man’s fortune in different currencies without altering its
relations to the fortunes of other men, so you can estimate a body’s
motion by means of different reference bodies without altering its
relations to other motions. And as physics is entirely concerned with
relations, it must be possible to express all the laws of physics by
referring all motions to any given body as the standard.
We may put the matter in another way. Physics is intended to give
information about what really occurs in the physical world, and not
only about the private perceptions of separate observers. Physics must,
therefore, be concerned with those features which a physical process
has in common for all observers, since such features alone can be
regarded as belonging to the physical occurrence itself. This requires
that the _laws_ of phenomena should be the same whether the phenomena
are described as they appear to one observer or as they appear to
another. This single principle is the generating motive of the whole
theory of relativity.
Public-domain text, read in full here on John Shaqi.
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