In very rapid motion a square would seem to the observer a rectangle;
a circle would appear to be an ellipse. If the earth travelled some
thousands of times faster round the sun, we should see it elongated,
like a giant lemon suspended in the heavens. If an aviator could fly
at a fantastic speed over Trafalgar Square, in the direction of the
Strand—and if the impressions on his retina were instantaneous—he
would see the Square as a very flattened rectangle. If he flew in a
diagonal line about it, he would find it shaped like a lozenge. If the
same aviator flew across a road on which fat cattle were being driven
to the slaughter-house, he would be astonished, for the beasts would
seem to him extraordinarily lean, while there would be no change in
their length.
The fact that these alterations of shape owing to velocity are
reciprocal is one of the most curious consequences of all this. A man
who could pass in every direction amongst his fellows at the fantastic
speed of one of Shakespeare’s spirits—let us put it at about 170,000
miles an hour, though there would be no limit—would find that his
fellows had become dwarfs only half as large as himself. Would he have
become a giant, a sort of Gulliver amongst the Lilliputians? Not in
the least. Such is the justice of the scheme of earthly things that he
himself would seem a dwarf to the people whom he thought smaller than
himself, and who are quite sure of the contrary.
Which is right, and which wrong? Both. Each point of view is accurate,
but there are only personal points of view.
Again, any observer whatever will only see things that are not
connected with him as smaller—never larger—than the things which are
connected with his movement. If I might venture to relieve this sober
exposition by a reflexion rather less austere than is usual in physics,
I would say that the new system affords a supreme justification of
egoism, or, rather, of egocentricism.
It is the same with time as with space. By similar reasoning to that
which has shown us how the distance of things in space is connected
with their velocity relatively to the observer, it can be shown that
their distance in time likewise depends upon this.
It would be useless to reproduce here the whole of the Einsteinian
argument as to duration. It is analogous to that which we have used
in regard to length, and even simpler. The result is as follows. The
time expressed in seconds which a train takes to pass from one station
to another is shorter for the passengers on the train than for us who
watch it pass, though our watches may be just the same as theirs.[5]
Similarly, all the gestures of men who are on moving vehicles will seem
to a stationary observer slowed down, and therefore prolonged, and vice
versa. But the velocity would, as in the case of variation in length,
have to be fantastic to make these variations in time perceptible.
Public-domain text, read in full here on John Shaqi.
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