This question of time is rather intricate, owing to the fact that
events which one man judges to be simultaneous another considers to be
separated by a lapse of time. In order to try to make clear how time
is affected, I shall revert to our railway train traveling due east at
a rate three-fifths of that of light. For the sake of illustration, I
assume that the earth is large and flat, instead of small and round.
If we take events which happen at a fixed point on the earth, and ask
ourselves how long after the beginning of the journey they will seem to
be to the traveler, the answer is that there will be that retardation
that Eddington speaks of, which means in this case that what seems an
hour in the life of the stationary person is judged to be an hour and a
quarter by the man who observes him from the train. Reciprocally, what
seems an hour in the life of the person in the train is judged by the
man observing him from outside to be an hour and a quarter. Each makes
periods of time observed in the life of the other a quarter as long
again as they are to the person who lives through them. The proportion
is the same in regard to times as in regard to lengths.
But when, instead of comparing events at the same place on the earth,
we compare events at widely separated places, the results are still
more odd. Let us now take all the events along the railway which, from
the point of view of a person who is stationary on the earth, happen
at a given instant, say the instant when the observer in the train
passes the stationary person. Of these events, those which occur at
points towards which the train is moving will seem to the traveler to
have already happened, while those which occur at points behind the
train will, for him, be still in the future. When I say that events
in the forward direction will seem to have already happened, I am
saying something not strictly accurate, because he will not yet have
seen them; but when he does see them, he will, after allowing for the
velocity of light, come to the conclusion that they must have happened
before the moment in question. An event which happens in the forward
direction along the railway, and which the stationary observer judges
to be now (or rather, will judge to have been now when he comes to know
of it), if it occurs at a distance along the line which light could
travel in a second, will be judged by the traveler to have occurred
three-quarters of a second ago. If it occurs at a distance from the two
observers which the man on the earth judges that light could travel
in a year, the traveler will judge (when he comes to know of it) that
it occurred nine months earlier than the moment when he passed the
earth dweller. And generally, he will ante-date events in the forward
direction along the railway by three-quarters of the time that it would
take light to travel from them to the man on the earth whom he is just
passing, and who holds that these events are happening now—or rather,
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account