The theory of relativity has changed this. There are now a number of
different ways of fixing position in time, which do not differ merely
as to the unit and the starting point. Indeed, as we have seen, if one
event is simultaneous with another in one reckoning, it will precede
it in another, and follow it in a third. Moreover, the space and time
reckonings are no longer independent of each other. If you alter the
way of reckoning position in space, you may also alter the time
interval between two events. If you alter the way of reckoning time,
you may also alter the distance in space between two events. Thus space
and time are no longer independent, any more than the three dimensions
of space are. We still need four quantities to determine the position
of an event, but we cannot, as before, divide off one of the four as
quite independent of the other three.
It is not quite true to say that there is no longer any distinction
between time and space. As we have seen, there are time-like intervals
and space-like intervals. But the distinction is of a different sort
from that which was formerly assumed. There is no longer a universal
time which can be applied without ambiguity to any part of the
universe; there are only the various “proper” times of the various
bodies in the universe, which agree approximately for two bodies which
are not in rapid relative motion, but never agree exactly except for
two bodies which are at rest relatively to each other.
The picture of the world which is required for this new state of
affairs is as follows: Suppose an event =E= occurs to me, and
simultaneously a flash of light goes out from me in all directions.
Anything that happens to any body after the light from the flash has
reached it is definitely after the event =E= in any system of reckoning
time. Any event anywhere which I could have seen before the event =E=
occurred to me is definitely before the event =E= in any system of
reckoning time. But any event which happened in the intervening time
is not definitely either before or after the event =E=. To make the
matter definite: suppose I could observe a person in Sirius, and he
could observe me. Anything which he does, and which I see before the
event =E= occurs to me, is definitely before =E=; anything he does
after he has seen the event =E= is definitely after =E=. But anything
that he does before he sees the event =E=, but so that I see it after
the event =E= has happened, is not definitely before or after =E=.
Since light takes many years to travel from Sirius to the earth, this
gives a period of twice as many years in Sirius which may be called
“contemporary” with =E=, since these years are not definitely before or
after =E=.
Public-domain text, read in full here on John Shaqi.
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