relativity can admit to be possible. Combined with what we know of the
actual motions of bodies, it enables us to decide what must be the
correct expression of the law of gravitation: logic and experience
combine in equal proportions in obtaining this expression.
But the problem of arriving at genuine laws of nature is not to be
solved by the method of tensors alone; a good, deal of careful thought
is wanted in addition. Some of this has been done, especially by
Eddington; much remains to be done.
To take a simple illustration: Suppose, as in the hypothesis of the
Fitzgerald contraction, that lengths in one direction were shorter than
in another. Let us assume that a foot rule pointing north is only half
as long as the same foot rule pointing east, and that this is equally
true of all other bodies. Does such an hypothesis have any meaning?
If you have a fishing rod fifteen feet long when it is pointing west,
and you then turn it to the north, it will still measure fifteen feet,
because your foot rule will have shrunk too. It won’t “look” any
shorter, because your eye will have been affected in the same way. If
you are to find out the change, it cannot be by ordinary measurement;
it must be by some such method as the Michelson-Morley experiment, in
which the velocity of light is used to measure lengths. Then you still
have to decide whether it is simpler to suppose a change of length
or a change in the velocity of light. The experimental fact would be
that light takes longer to traverse what your foot rule declares to
be a given distance in one direction than in another—or, as in the
Michelson-Morley experiment, that it ought to take longer but doesn’t.
You can adjust your measures to such a fact in various ways; in any
way you choose to adopt, there will be an element of convention. This
element of convention survives in the laws that you arrive at after
you have made your decision as to measures, and often it takes subtle
and elusive forms. To eliminate the element of convention is, in fact,
extraordinarily difficult; the more the subject is studied, the greater
the difficulty is seen to be.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account