This question of time in different places is perhaps, for the
imagination, the most difficult aspect of the theory of relativity. We
are accustomed to the idea that everything can be dated. Historians
make use of the fact that there was an eclipse of the sun visible in
China on August 29 in the year 776 B. C.[1] No doubt astronomers could
tell the exact hour and minute when the eclipse began to be total at
any given spot in North China. And it seems obvious that we can speak
of the positions of the planets at a given instant. The Newtonian
theory enables us to calculate the distance between the earth and (say)
Jupiter at a given time by the Greenwich clocks; this enables us to
know how long light takes at that time to travel from Jupiter to the
earth—say half an hour; this enables us to infer that half an hour ago
Jupiter was where we see it now. All this seems obvious. But in fact it
only works in practice because the relative velocities of the planets
are very small compared with the velocity of light. When we judge that
an event on the earth and an event on Jupiter have happened at the
same time—for example, that Jupiter eclipsed one of his moons when
the Greenwich clocks showed twelve midnight—a person moving rapidly
relatively to the earth would judge differently, assuming that both he
and we had made the proper allowance for the velocity of light. And
naturally the disagreement about simultaneity involves a disagreement
about periods of time. If we judged that two events on Jupiter were
separated by twenty-four hours, another person might judge that they
were separated by a longer time, if he were moving rapidly relatively
to Jupiter and the earth.
[1] A contemporary Chinese ode, after giving the day of the year
correctly, proceeds:
“For the moon to be eclipsed
Is but an ordinary matter.
Now that the sun has been eclipsed,
How bad it is.”
The universal cosmic time which used to be taken for granted is thus no
longer admissible. For each body, there is a definite time order for
the events in its neighborhood; this may be called the “proper” time
for that body. Our own experience is governed by the proper time for
our own body. As we all remain very nearly stationary on the earth,
the proper times of different human beings agree, and can be lumped
together as terrestrial time. But this is only the time appropriate to
_large_ bodies on the earth. For Beta-particles in laboratories, quite
different times would be wanted; it is because we insist upon using
our own time that these particles seem to increase in mass with rapid
motion. From their own point of view, their mass remains constant,
and it is we who suddenly grow thin or corpulent. The history of a
physicist as observed by a Beta-particle would resemble Gulliver’s
travels.
Public-domain text, read in full here on John Shaqi.
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