The sorting-out theory is one of these notions that occur to
humanity and are accepted at once, without consideration of what the
consequences may be. If it is made to account for the four inferior
planets being so much more dense, and of coming so much sooner to
maturity--so to speak--than the four superior ones, it is hard to
understand why the sun up to the present day almost ranks in low
density with the large planets. If that theory holds good, it would be
most natural to suppose that the mean density of the sun should be very
much greater than that of Mercury. But it appears to be only carried
as far as it suits the theorist, and to be there dropped, or rather
ignored.
Having been defeated in our attempt to build up or construct an earth
solid to the centre by appealing to the metals to make up the weight or
density required for the foundation layers, and that even to somewhere
about three-fourths of the diameter of the whole structure, we are
forced to fall back upon our known rocks, earths, etc., in order to
compound out of them the dense material we require, and of course we
feel that we have in hand a more hopeless task than we had with the
metals. How are we to compress the everlasting hills into one-fourth or
one-fifth of their volume? Some solution of the difficulty, or mystery,
must be found somewhere; but at the same time the mountains of gold,
silver, and less precious metals required have shown us how absurd,
even laughable, it is to appeal to them.
Let us suppose that we have a cubic foot of matter of any kind of
13-3/4 times the density of water, and that we place it in one of
the scales of a balance at the centre of the earth; we shall find
that it does not depress the scale one hair-breadth, for the very
good reason that it has nowhere to depress it to; it would be already
at what may be called the end of gravitation or tendency to fall
lower. As it could not get any lower it would have a tendency to fly
off anywhere--provided it was free to do so--and drag the scale and
balance along with it, in obedience to its own attractive power and
the attraction of all the matter of the earth surrounding it, except
that the attraction might be so equally distributed all around it that
it would not move in any direction. It would, however, be in a state
of very unstable equilibrium, and if by some means the attraction
were increased a little on one side more than the others, and it were
at liberty to do so, it would abandon the centre and fly off in that
direction never to return. Now, this being the case, we are forced to
consider how a cubic foot of matter, such as the one we are dealing
with, could ever have found its way to the centre of the earth; and
the law of gravitation, or rather of attraction, does not in any way
help us out of the difficulty. We know that we put our cubic foot of
extremely dense matter there for an experiment, but we do not know of
any process of nature that could place there any equal mass of matter
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