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The analogy of a traveller in a railway train is useful; if he could never leave the train nor alter its pace he would probably consider the landscapes as necessarily successive and be unable to conceive their co-existence.... We perceive, therefore, a possible fourth dimensional aspect about time, the inexorableness of whose flow may be a natural part or our present limitations.
This third-dimensional extension, typified in the tunnel and in the skyscraper, is but the latest phase of a conquest of space which began with the line of the pioneer's trail through an untracked wilderness. Not only does nature everywhere geometrize, but she does so in a particular way, in which we discover dimensional sequences.
We think of our three dimensional space, "the sensible world," as immersed in higher space; "enfolded as in a garment," therefore. And we think of the objects of our world as having extension in a dimensionally higher region, that "supernal world" in which the phenomena of this sensible world arise.
"Now," he said, fingering the scarab, "if I was not dreaming, and if by some mysterious means Her Highness's promise is to be actually fulfilled, I ought to be able to take this ring off without opening my hand. Certainly, any fourth dimensional being could do it." As he spoke he pulled at the setting of the scarab and, to his amazement, the ring came off whole.
Mentally, he was running to and fro in the hope of retarding the flames that were eating him for their fuel. Back then the thought of his father dangling from the noose recurred to him every few moments. At that time he wanted to check himself into a hospital for he felt a loss of sanity. His world was three dimensional but totally impersonal and wobbling.
When owls bob and weave their heads it can appear as if they are exhibiting curiosity concerning the world around them in a humanoid gesture, but in fact they are merely attempting to improve their three dimensional concept of whatever it is that they are looking at.
The Hawk nodded. "That's just the problem, Eclipse. For you'll remember Judd said that Ku Sui 'comes out of darkness, out of empty space. That might mean invisibility or the Fourth Dimension and God help us if he's solved the problem of dimensional traveling. I don't know but it's something I can't well prepare against." He fell to musing again, utterly lost in thought.
The dome was done ornately as well, for I saw as I walked further into the room that what I had thought had been imperfections in the dome proved to be an elaborate three dimensional sculpture that stuck out from the ceiling, depicting an intricate scene of figures and telling a story of some great saga of war and peace, pride and prejudice, love and hate, faith and betrayal, all combined to make the greatest mural: history, the story of time itself.
Many avow that there is a single substance which is also the first, from which are all things, but what that substance is, is not known. The belief is that it is so simple nothing is more so, and that it can be likened to a point without dimensions, and that dimensional forms arose out of an infinite number of such points. But this is a fallacy, springing from an idea of space.
To the question, "What worlds?" the Higher Space Hypothesis makes answer, "Dimensional systems, from lowest to highest, each one a representation of the one next above, where it stands dramatized, as it were.
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