The theory of relativity and its influence on scientific thoughtEddington, Arthur Stanley, Sir
Philosophy
The theory of relativity and its influence on scientific thought
Eddington, Arthur Stanley, Sir
Relativity (Physics); Science -- Philosophy
But that is because we have not admitted the full consequences of
transferring our standpoint to the sun. We have all the while been
keeping one foot on earth. Of course, the whole experiment turns on the
two arms having been first adjusted to perfect equality. This could only
be ascertained by experiment; and the test applied was to rotate the
apparatus through a right angle, so that if, for example, the journey in
the line of the earth's motion had had the advantage of the shorter arm
on one occasion, the transverse journey would have had it on the
repetition. That is a perfectly satisfactory test for a terrestrial
observer; to turn a rod from one direction to another is the simple and
direct way of marking out equal lengths. But the test is not
satisfactory to an observer on the sun; he would not think of attempting
to partition equal lengths of space by means of rods travelling at 20
miles a second. His frame of space--the space not only of refined
measurement, but also of the cruder measurements made with the
sense-organs of his body which determine his perception of space--is
partitioned by appliances at rest relatively to him, e.g. his own eyes
and limbs. Lengths of objects carried on the earth must be judged by him
according to the room they occupy in his own frame. In the space of the
terrestrial observer the two arms of the apparatus were adjusted to
equal length; but in the re-partitioned space of the solar observer they
may quite well occupy unequal lengths, and when we take the view-point
of an observer on the sun we must not overlook this inequality. This
inequality is not so much an hypothesis proposed to account for
Michelson's result as a direct deduction from it. The two light-journeys
were found to occupy equal times; this clearly shows that the arm in the
less favoured direction is shorter than the other so as to
counterbalance the handicap to which I have referred.[1]
When the apparatus is turned through a right angle, the experiment still
gives the same result. It does not matter which of the two arms we place
in the line of the earth's motion; that arm must be shorter than the
other. In other words each arm must automatically contract when it is
turned from the transverse to the longitudinal position with respect to
its line of motion. This is the famous FitzGerald contraction of a
moving rod. It is of the same amount whatever the material of the rod,
and depends only on the speed of its motion. For the earth's orbital
motion the contraction amounts to one part in 200 million; in fact the
earth's diameter in the direction of its motion is always shortened by
2½ inches, the transverse diameter being unaffected.
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