If I pass along a street at some unheard-of speed, but with a uniform
motion, its general aspect may, on account of the contraction caused
by my velocity, be a little different from what it would seem to me
if I were stationary.[12] The houses, for instance, will seem narrower
in proportion to their height. Nevertheless the general aspect and
proportions of objects will be much the same in both cases, and they
will have something in common. Thus the gas-lights will seem to me
thinner, but they will be straight.
[12] It goes without saying that we assume the observer to have a
retina with instantaneous impressions.
It will be quite otherwise if the observer’s movements are varied:
if, for instance, we imagine him a drunken giant, reeling about at
a prodigious speed. For such an observer the street will have quite
a new aspect. The gas-jets will no longer be straight, but zigzag,
reproducing in an inverse way the zigzags which he himself makes as he
reels along. This is so true that caricaturists generally represent the
trees and lamp-posts and houses seen by a drunken man by ridiculously
waving lines.
Our observer will be convinced that objects really have the zigzag
forms which he sees, and that the forms change at every step he takes.
Try to tell him that it is he who is dancing, not the objects; that it
is he who is not walking straight, not the dog he has on leash. He will
not believe it—and from the point of view of General Relativity he is
neither more nor less right than you.
Yet there is something in the aspect of the world that must be common
to the drunkard and the drinker of water.
If the whole universe were suddenly plunged in a mass of gelatine
which has set, and one were to squeeze or alter the shape in any way
of this gelatinous mass, there would still be something unchanged in
the coagulated stuff. What is this something? And what is the calculus
to use for it? The answer to these questions was the last stage for
Einstein to cover in order to establish the equations of gravitation
and General Relativity.
* * * * *
Here it was the penetrating genius of Henri Poincaré that indicated the
path. It is very necessary to insist on this, as justice has not been
done in the matter to the great French mathematician.
If all the bodies in the universe were to be simultaneously dilated,
and to an identical extent, we should have no means of knowing it. Our
instruments and our own bodies being similarly dilated, we should not
perceive this formidable historical and cosmic event. It would not
distract us for a moment from the trivialities of the hour.
Public-domain text, read in full here on John Shaqi.
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