We can trace out all the consequences of four-dimensional movements
down to their last detail. Then, knowing the mode of action which
would be characteristic of the minutest particles, if they were
free, we can draw conclusions from what they actually do of what the
constraint on them is. Of the two things, the material conditions and
the motion, one is known, and the other can be inferred. If the place
of this universe is a meeting of two, there would be a one-sideness
to space. If it lies so that what stretches away in one direction in
the unknown is unlike what stretches away in the other, then, as far
as the movements which participate in that dimension are concerned,
there would be a difference as to which way the motion took place. This
would be shown in the dissimilarity of phenomena, which, so far as
all three-space movements are concerned, were perfectly symmetrical.
To take an instance, merely, for the sake of precising our ideas,
not for any inherent probability in it; if it could be shown that
the electric current in the positive direction were exactly like the
electric current in the negative direction, except for a reversal of
the components of the motion in three-dimensional space, then the
dissimilarity of the discharge from the positive and negative poles
would be an indication of a one-sideness to our space. The only cause
of difference in the two discharges would be due to a component in
the fourth dimension, which directed in one direction transverse to
our space, met with a different resistance to that which it met when
directed in the opposite direction.
CHAPTER VII
THE EVIDENCES FOR A FOURTH DIMENSION
The method necessarily to be employed in the search for the evidences
of a fourth dimension, consists primarily in the formation of the
conceptions of four-dimensional shapes and motions. When we are in
possession of these it is possible to call in the aid of observation,
without them we may have been all our lives in the familiar presence of
a four-dimensional phenomenon without ever recognising its nature.
To take one of the conceptions we have already formed, the turning of a
real thing into its mirror image would be an occurrence which it would
be hard to explain, except on the assumption of a fourth dimension.
Public-domain text, read in full here on John Shaqi.
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