will hold that they happened now when the light from them reaches him.
Events happening on the railway behind the train will be post-dated by
an exactly equal amount.
We have thus a two-fold correction to make in the date of an event when
we pass from the terrestrial observer to the traveler. We must first
take five-fourths of the time as estimated by the earth dweller, and
then subtract three-fourths of the time that it would take light to
travel from the event in question to the earth dweller.
Take some event in a distant part of the universe, which becomes
visible to the earth dweller and the traveler just as they pass each
other. The earth dweller, if he knows how far off the event occurred,
can judge how long ago it occurred, since he knows the speed of light.
If the event occurred in the direction towards which the traveler is
moving, the traveler will infer that it happened twice as long ago as
the earth dweller thinks. But if it occurred in the direction from
which he has come, he will argue that it happened only half as long
ago as the earth dweller thinks. If the traveler moves at a different
speed, these proportions will be different.
Suppose now that (as sometimes occurs) two new stars have suddenly
flared up, and have just become visible to the traveler and to the
earth dweller whom he is passing. Let one of them be in the direction
towards which the train is traveling, the other in the direction from
which it has come. Suppose that the earth dweller is able, in some way,
to estimate the distance of the two stars, and to infer that light
takes fifty years to reach him from the one in the direction towards
which the traveler is moving, and one hundred years to reach him from
the other. He will then argue that the explosion which produced the
new star in the forward direction occurred fifty years ago, while the
explosion which produced the other new star occurred a hundred years
ago. The traveler will exactly reverse these figures: he will infer
that the forward explosion occurred a hundred years ago, and the
backward one fifty years ago. I assume that both argue correctly on
correct physical data. In fact, both are right, unless they imagine
that the other must be wrong. It should be noted that both will have
the same estimate of the velocity of light, because their estimates
of the distances of the two new stars will vary in exactly the same
proportion as their estimates of the times since the explosions.
Indeed, one of the main motives of this whole theory is to secure that
the velocity of light shall be the same for all observers, however they
may be moving. This fact, established by experiment, was incompatible
with the old theories, and made it absolutely necessary to admit
something startling. The theory of relativity is just as little
startling as is compatible with the facts. Indeed, after a time, it
ceases to seem startling at all.
Public-domain text, read in full here on John Shaqi.
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