Suppose you wish to say where and when some event has occurred—say
an explosion on an airship—you will have to mention four quantities,
say the latitude and longitude, the height above the ground, and the
time. According to the traditional view, the first three of these
give the position in space, while the fourth gives the position in
time. The three quantities that give the position in space may be
assigned in all sorts of ways. You might, for instance, take the
plane of the equator, the plane of the meridian of Greenwich, and the
plane of the ninetieth meridian, and say how far the airship was from
each of these planes; these three distances would be what are called
“Cartesian co-ordinates,” after Descartes. You might take any other
three planes all at right angles to each other, and you would still
have Cartesian co-ordinates. Or you might take the distance from London
to a point vertically below the airship, the direction of this distance
(northeast, west-southwest, or whatever it might be), and the height of
the airship above the ground. There are an infinite number of such ways
of fixing the position in space, all equally legitimate; the choice
between them is merely one of convenience.
When people said that space had three dimensions, they meant just this:
that three quantities were necessary in order to specify the position
of a point in space, but that the method of assigning these quantities
was wholly arbitrary.
With regard to time, the matter was thought to be quite different. The
only arbitrary elements in the reckoning of time were the unit, and
the point of time from which the reckoning started. One could reckon
in Greenwich time, or in Paris time, or in New York time; that made a
difference as to the point of departure. One could reckon in seconds,
minutes, hours, days, or years; that was a difference of unit. Both
these were obvious and trivial matters. There was nothing corresponding
to the liberty of choice as to the method of fixing position in space.
And, in particular, it was thought that the method of fixing position
in space and the method of fixing position in time could be made wholly
independent of each other. For these reasons, people regarded time and
space as quite distinct.
Public-domain text, read in full here on John Shaqi.
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