Scientific Romances (First Series)Hinton, Charles Howard
Philosophy
Scientific Romances (First Series)
Hinton, Charles Howard
Fourth dimension
Moreover, at no point must the particles adhere to the plane, nor must
there be any friction impeding their movements over it. The only purpose
which the support serves is to keep them on the same level surface and
to convey influences from one particle to another. The gravity which we
know, and which acts at right angles to the table on which the coins
rest, will not have any effect on the particles in their motions on the
plane, but will simply keep them to the plane. Any force of attraction
which concerns their motions proceeds from one particle to another.
Thus, conceive the half-crown to be a very large disk of matter, and the
sixpence to be a sentient being. This being would feel a force of
attraction towards the centre of the half-crown, and this force of
attraction would keep him to the rim of the half-crown. If he weighed
anything it would be by balancing it with his weight against the force
which tended to pull it to the centre of the half-crown. He would not
feel the gravity which keeps him against the surface of the table; he
would not know that there was a hard, smooth surface on which he rested.
He would always have been in contact with it, and so he could not tell
what it would be like to be free from it. He would have no contrast
whereby to apprehend its effect on him. Moreover, he would only know of
movements in directions along the plane. He would not conceive that such
a thing was possible as movement in another direction than to and fro,
hither and thither on the plane. It is difficult to suppose that a being
would be supported on one side by a plane, and not be in contact with
anything on the other side, even atmosphere. Yet if we suppose a being
of real matter free to move on the plane, this is what must be
conceived. If the sixpence is conceived as such a being, it must receive
its impressions through its rim. The rim represents its skin.
And if it be supposed to be surrounded by air for its respiration, this
air must not be able, any more than the particles of solid matter, to
rise away from the plane. The plane being must be conceived to have a
different air to that which we know. The particles of its air, however
free to move amongst themselves, must not have the power of moving away
from the surface of the plane, as if so they would be able to pass to
the interior of the body without passing through the skin. Any passage
leading to the interior of the body would have to terminate in an
opening in the rim, otherwise it would be completely shut up from the
exterior.
Now it is obvious that if the table is struck so that it quivers, this
movement will be communicated to the coins lying on it. Either the coins
as a whole will move, or their particles will be disturbed.
Public-domain text, read in full here on John Shaqi.
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