We saw that, according to the theory of relativity, the interval
[Pg 155]
between two events may be separated into a time-part and a space-part
in various ways, all of which are equally legitimate, and each of
which will seem natural to an observer who is moving suitably. The
first effect of this is to diminish the sharpness of the distinction
between space and time. But the distinction comes back in a new
form. It is found that the interval between two events can, in some
cases, be regarded as merely a space-interval; this will happen if an
observer who is moving suitably would regard them as simultaneous.
Whenever this does not happen, the interval can be regarded as merely a
time-interval; this will be the case when an observer could travel so
as to be present at both events. It takes eight minutes for light to
travel from the sun to the earth, and nothing can travel faster than
light; therefore if we consider some event which happens on the earth
at 12 noon, any event which happens on the sun between 11.52 a. m. and
12.8 p. m. could not have happened in the presence of anything which
was present at the event on earth at 12 noon. Events happening on the
sun during these 16 minutes have an interval from the event on earth
which will, for a suitable observer, seem to be a spatial separation
between simultaneous events; such intervals are called space-like.
[Pg 156]
Events happening earlier or later than these 16 minutes will be
separated from the event on earth at noon by an interval which would
appear to be purely temporal to an observer who had spent the interval
in travelling from the sun to the earth, or vice versa as the case may
be; such intervals are called time-like. Two parts of one light-ray are
on the borderland between time-like and space-like intervals, and in
fact the interval between them is zero. But in all other cases there is
a separation which is either time-like or space-like, and in this way
we find that there is still a distinction between what is to be called
temporal and what is to be called spatial, though the distinction is
different from that of every-day life.
For reasons which we cannot go into, Einstein and others have suggested
that the universe has a “curvature,” so that we could theoretically go
all round it and come back to our starting-point, in the sort of way in
which we go round the earth. All the way round the universe, in that
case, must be a certain length, fixed in nature. Eddington suggests
that some relation will probably be found between this, the greatest
length in nature, and the radius of the electron, which is the least
length in nature. As he humorously puts it: “An electron could never
decide how large it ought to be unless there existed some length
[Pg 157]
independent of itself for it to compare itself with.”
Public-domain text, read in full here on John Shaqi.
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