Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000Bird, J. Malcolm (James Malcolm)
Philosophy
Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000
Bird, J. Malcolm (James Malcolm)
Relativity (Physics)
Once more, let us suppose that $A$ and $B$, with their clocks and
mirrors, are in relative motion, with half the speed of light, and pass
one another at noon by both clocks. At 12:02 by $A$'s clock, he sends a
flash of light, which reaches $B$ at 12:04 by his clock, is reflected,
and gets back to $A$'s clock at 12:06. They signal these results to
each other, and sit down to work them out. $A$ thinks that he is at
rest, and $B$ moving. He therefore concludes that the light had the
same distance to go out as to return to him and took two seconds each
way, reaching $B$ at 12:04 by $A$'s clock, and that the two clocks,
which agreed then, as well as at noon, are running at the same rate.
$B$, on the contrary, thinks that he is at rest and $A$ in motion. He
then concludes that $A$ was much nearer when he sent out the flash
than when he got it back, and that the light had three times as far to
travel on the return journey. This means that it was 12:03 by $A$'s
clock at the instant when the light reached $B$ and $B$'s clock read
12:04. Hence $A$'s clock is running slow, compared with $B$'s.
Hence the answer to the question whether two intervals of time,
measured by observers who are in motion relative to one another, are
of the same or of different durations, depends upon their assumptions
about the motion of the universe as a whole.
Now we must remember that one assumption about the motion of the
universe as a whole is exactly as good--or bad--as another. No
possible experiment can distinguish between them. Hence on the
Principle of Relativity, we have left no absolute measurement of
time or space. Whether two distances in different directions are to
be called equal or not--whether two events in different places are
to be called simultaneous or not--depends on our arbitrary choice of
such an assumption, or "frame of reference." All the various schemes
of measurement corresponding to these assumptions will, when applied
to any imaginable experiment, predict exactly the same phenomena. But,
in certain important cases, these predictions differ from those of the
old familiar theory, and, every time that such experiments have been
tried, the result has agreed with the new theory, and not with the old.
We are therefore driven to accept the theory of relativity, strange
as it is, as being more nearly "true to nature" than our older
ideas. Fortunately, the difference between the results of the two
become important only when we assume that the whole visible universe is
moving together much faster than any of its parts are moving relatively
to one another. Unless we make such an unwarranted assumption, the
differences are so small that it takes the most ingenious and precise
experiments to reveal them.
THE GENERALIZATION
Not content with all this, Einstein proceeded, a few years ago, to
develop a "general" theory of relativity, which includes the effects
of gravitation.
Public-domain text, read in full here on John Shaqi.
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