Experiment alone has proved, and had the right to prove, that it
is impossible to measure the velocity of an object relatively to
the ether. At all events, this is now settled. After all, since it
is evidently in the very nature of things that we cannot detect an
absolute movement, is it not because the velocity of the earth in
relation to the ether is an absolute velocity that we have been unable
to detect it? Possibly; but it cannot be proved. If it is so—which is
not at all certain—it is in the last resort _experience_, the
one source of truth, which thus tends to prove, indirectly, that the
ether is really identical with space. In that case, however, a space
devoid of ether, or one containing spheres of ether, would no longer be
conceivable, and there can be nothing but a single mass of ether with
stars floating in it. In a word, the negative result of Michelson’s
experiment could not be deduced _a priori_ from the problematical
identity of absolute space and the ether; but this negative result does
not justify us in denying the identity _a posteriori_.
Let us return to our proper subject, the Fitzgerald-Lorentz hypothesis
which explains the issue of the Michelson experiment, and which was
in a sense the spring-board for Einstein’s leap. The hypothesis is as
follows.
The result of the experiment is that, whereas when the path of a ray
of light between two mirrors is transverse to the earth’s motion
through ether, and it is then made parallel to the earth’s motion,
the path ought to be longer, we actually find no such lengthening.
According to Fitzgerald and Lorentz, _this is because the two mirrors
approached each other in the second part of the experiment_. To put
it differently, _the frame in which the mirrors were fixed contracted
in the direction of the earth’s motion, and the contraction was such in
magnitude as to compensate exactly for the lengthening of the path of
the ray of light which we ought to have detected_.
When we repeat the experiment with all kinds of different apparatus, we
find that the result is always the same (no displacement of the
fringes). It follows that the character of the material of which the
instrument is made—metal, glass, stone, wood, etc.—has nothing to
do with the result. Therefore all bodies undergo an equal and similar
contraction in the direction of their velocity relatively to the
ether. This contraction is such that it exactly compensates for the
lengthening of the path of the rays of light between two points of the
apparatus. In other words, the contraction is greater in proportion as
the velocity of bodies relatively to the ether becomes greater.
That is the explanation proposed by Fitzgerald. At first it seemed to
be very strange and arbitrary, yet there was, apparently, no other way
of explaining the result of Michelson’s experiment.
Public-domain text, read in full here on John Shaqi.
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