An analogy will serve to make the point clear. Suppose that on a dark
night a number of men with lanterns were walking in various directions
across a huge plain, and suppose that in one part of the plain there
was a hill with a flaring beacon on the top. Our hill is to be such
as we have described, growing steeper as it goes up, and ending in a
precipice. I shall suppose that there are villages dotted about the
plain, and the men with lanterns are walking to and from these various
villages. Paths have been made showing the easiest way from any one
village to any other. These paths will all be more or less curved, to
avoid going too far up the hill; they will be more sharply curved when
they pass near the top of the hill than when they keep some way off
from it. Now suppose that you are observing all this, as best you can,
from a place high up in a balloon, so that you cannot see the ground,
but only the lanterns and the beacon. You will not know that there is a
hill, or that the beacon is at the top of it. You will see that people
turn out of the straight course when they approach the beacon, and
that the nearer they come the more they turn aside. You will naturally
attribute this to an effect of the beacon; you may think that it is
very hot and people are afraid of getting burnt. But if you wait for
daylight you will see the hill, and you will find that the beacon
merely marks the top of the hill and does not influence the people with
lanterns in any way.
Now in this analogy the beacon corresponds to the sun, the people with
lanterns correspond to the planets and comets, the paths correspond
to their orbits, and the coming of daylight corresponds to the coming
of Einstein. Einstein says that the sun is at the top of a hill, only
the hill is in space-time, not in space. (I advise the reader not to
try to picture this, because it is impossible.) Each body, at each
moment, adopts the easiest course open to it, but owing to the hill the
easiest course is not a straight line. Each little bit of matter is at
the top of its own little hill, like the cock on his own dung-heap.
What we call a big bit of matter is a bit which is at the top of a big
hill. The hill is what we know about; the bit of matter at the top is
assumed for convenience. Perhaps there is really no need to assume it,
and we could do with the hill alone, for we can never get to the top of
any one else’s hill, any more than the pugnacious cock can fight the
peculiarly irritating bird that he sees in the looking glass.
Public-domain text, read in full here on John Shaqi.
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