The events in the physical world have relations to each other which
are of the sort that have led to the notions of space and time. They
have relations of order, so that we can say that one event is nearer
to a second than to a third. In this way we can arrive at the notion
of the “neighbourhood” of an event: it will consist roughly speaking
of all the events that are very near the given event. When we say that
neighbouring events have a certain relation, we shall mean that the
nearer two events are to each other, the more nearly they have this
relation, and that they approximate to having it without limit as they
are taken nearer and nearer together.
Two neighbouring events have a measurable quantitative relation
called “interval”, which is sometimes analogous to distance in space,
sometimes to lapse of time. In the former case it is called space-like,
in the latter time-like. The interval between two events is time-like
when one body might be present at both--for example, when both are
parts of the history of your body. The interval is space-like in the
contrary case. In the marginal case between the two, the interval is
zero; this happens when both are parts of one light-ray.
The interval between two neighbouring events is something objective,
in the sense that any two careful observers will arrive at the same
estimate of it. They will not arrive at the same estimate for the
distance in space or the lapse of time between the two events, but the
interval is a genuine physical fact, the same for all. If a body can
travel freely from one event to the other, the interval between the two
events will be the same as the time between them as measured by a clock
travelling with the body. If such a journey is physically impossible,
the interval will be the same as the distance as estimated by an
observer to whom the two events are simultaneous. But the interval is
only definite when the two events are very near together; otherwise
the interval depends upon the route chosen for travelling from the one
event to the other.
Four numbers are needed to fix the position of an event in the world;
these correspond to the time and the three dimensions of space in the
old reckoning. These four numbers are called the co-ordinates of the
event. They may be assigned on any principle which gives neighbouring
co-ordinates to neighbouring events; subject to this condition, they
are merely conventional. For example, suppose an aeroplane has had an
accident. You can fix the position of the accident by four numbers:
latitude, longitude, altitude above sea-level, and Greenwich Mean Time.
But you cannot fix the position of the explosion in space-time by means
of less than four numbers.
Public-domain text, read in full here on John Shaqi.
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