The third postulate, which relates the general to the special theory,
is very useful. It is not necessary for the application of the special
theory to a limited region that there should be no gravitation in the
region; it is enough if the intensity of gravitation is practically the
same throughout the region. This enables us to apply the special theory
within any small region. How small it will have to be, depends upon the
neighborhood. On the surface of the earth, it would have to be small
enough for the curvature of the earth to be negligible. In the spaces
between the planets, it need only be small enough for the attraction
of the sun and the planets to be sensibly constant throughout the
region. In the spaces between the stars it might be enormous—say half
the distance from one star to the next—without introducing measurable
inaccuracies.
At a great distance from gravitating matter, we can so choose our
co-ordinates as to obtain a Euclidean space; this is really only
another way of saying that the special theory of relativity applies. In
the neighborhood of matter, although we can make our space Euclidean
in any small region, we cannot do so throughout any region within
which gravitation varies sensibly—at least, if we do, we shall have
to abandon the view that bodies move in geodesics. In the neighborhood
of a piece of matter, there is, as it were, a hill in space-time;
this hill grows steeper and steeper as it gets nearer the top, like
the neck of a champagne bottle. It ends in a sheer precipice. Now by
the law of cosmic laziness which we mentioned earlier, a body coming
into the neighborhood of the hill will not attempt to go straight
over the top, but will go round. This is the essence of Einstein’s
view of gravitation. What a body does, it does because of the nature
of space-time in its own neighborhood, not because of some mysterious
force emanating from a distant body.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account