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These portions of surfaces are 'momental areas. It is unnecessary at this stage to enter into the complexity of a definition of vagrant areas. Their definition is simple enough when the four-dimensional manifold of event-particles has been more fully explored as to its properties. Momental areas can evidently be defined as abstractive elements by exactly the same method as applied to solids.
Mudge, grasping his hand and holding it tightly while he spoke. The nailed chair prevented further excitability. "Well," he resumed, after a moment's pause, "I procured the implements and the coloured blocks for practical experiment, and I followed the instructions carefully till I had arrived at a working conception of four-dimensional space.
So that, if the spiritual powers we have been considering are regarded as in any sense final, they are a hindrance, a barrier to the far higher powers of the divine man. But viewed from below, from the standpoint of normal physical experience, they are powers truly magical; as the powers natural to a four-dimensional being will appear magical to a three-dimensional being.
Should we observe in three-dimensional space contradictory facts our reason would be forced to reconcile these contradictions, also, and if they could be reconciled by the idea of a four-dimensional space our reason would accept this idea without cavil.
Nature affords a sufficient number of representations of four-dimensional forms and movements to justify their consideration. Let us first flash the light of our hypothesis upon an all but universal characteristic of living forms, yet one of the most inexplicable symmetry. Animal life exhibits the phenomenon of the right-and left-handed symmetry of solids.
They could exist, and co-exist, two people in one frame, one person known, realized by all who saw, the other one concealed except from those who learned how to look. They could use their minds; they could rationalize correctly; they could use their curious four-dimensional knowledge to bring them to answers no three-dimensional man could reach. But they couldn't project into men's minds!
Mercia's nullifier had just been invented, a curious and intricate device, based on four-dimensional geometry, that made it possible to see occurrences in the universe which had hitherto required the hundreds of years needed for light to cross the intervening space before they were visible on Earth.
But in order to avoid the conception of the continual destruction and creation of ether, it is necessary to assume a steady flow through every electron between our universe and the greater universe of which it is assumed to form a part Now because the electrons, in order to receive this flow, must lie on the boundary of this greater universe, the latter must be four-dimensional.
Instead, he divested the concepts of space and time, from which that of velocity is usually derived, of the absoluteness hitherto attributed to them, with the result that in his theory time has come to be conceived as part of a four-dimensional 'space-time continuum'. In reality the Michelson-Morley experiment presents no problem requiring such labours as those of Einstein for its solution.
Apparently sleep is unnecessary in the higher the four-dimensional body. Yes, perhaps. But I should infinitely have preferred dull sleep to the knowledge. For, unable to control my movements, I wandered to and fro, attracted, owing to my partial development and premature arrival, to parts of this new world that alarmed me more and more.
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