The Time Traveller (for so it will be convenient to speak of him) was expounding a recondite matter to us. His grey eyes shone and twinkled, and his usually pale face was flushed and animated. The fire burned brightly, and the soft radiance of the incandescent lights in the lilies of silver caught the bubbles that flashed and passed in our glasses. Our chairs, being his patents, embraced and caressed us rather than submitted to be sat upon, and there was that luxurious after-dinner atmosphere when thought roams gracefully free of the trammels of precision. And he put it to us in this way—marking the points with a lean forefinger—as we sat and lazily admired his earnestness over this new paradox (as we thought it) and his fecundity.
His grey eyes shone and twinkled, and his usually pale face was flushed and animated.
You must follow me carefully. I shall have to controvert one or two
ideas that are almost universally accepted. The geometry, for
instance, they taught you at school is founded on a misconception.
Is not that rather a large thing to expect us to begin upon?
said
Filby, an argumentative person with red hair.
I do not mean to ask you to accept anything without reasonable
ground for it. You will soon admit as much as I need from you. You
know of course that a mathematical line, a line of thickness nil,
has no real existence. They taught you that? Neither has a
mathematical plane. These things are mere abstractions.
That is all right,
said the Psychologist.
Nor, having only length, breadth, and thickness, can a cube have a
real existence.
There I object,
said Filby. Of course a solid body may exist. All
real things—
So most people think. But wait a moment. Can an instantaneous
cube exist?
Don't follow you,
said Filby.
Can a cube that does not last for any time at all, have a real
existence?
Filby became pensive. Clearly,
the Time Traveller proceeded, any
real body must have extension in four directions: it must have
Length, Breadth, Thickness, and--Duration. But through a natural
infirmity of the flesh, which I will explain to you in a moment, we
incline to overlook this fact. There are really four dimensions,
three which we call the three planes of Space, and a fourth, Time.
There is, however, a tendency to draw an unreal distinction between
the former three dimensions and the latter, because it happens that
our consciousness moves intermittently in one direction along the
latter from the beginning to the end of our lives.
That,
said a very young man, making spasmodic efforts to relight
his cigar over the lamp; that … very clear indeed.
Now, it is very remarkable that this is so extensively overlooked,
continued the Time Traveller, with a slight accession of
cheerfulness. Really this is what is meant by the Fourth Dimension,
though some people who talk about the Fourth Dimension do not know
they mean it. It is only another way of looking at Time. There is
no difference between Time and any of the three dimensions of Space
except that our consciousness moves along it. But some foolish
people have got hold of the wrong side of that idea. You have all
heard what they have to say about this Fourth Dimension?