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But I found that, while remaining conscious, I also retained memory. I had attained to the state of continuous consciousness, for at night I regularly, with the first approaches of drowsiness, entered nolens volens the four-dimensional world. "For a time this happened regularly, and I could not control it; though later I found a way to regulate it better.
Thus there are three sets of particles, namely the set of those which lie outside the event e, the set of those which lie inside the event e, and the boundary of the event e which is the set of boundary-particles of e. Since an event is four-dimensional, the boundary of an event is a three-dimensional manifold.
It matters little that he replies, "Your four-dimensional world is only an analytic explanation of my phenomena," for the fact remains a fact, that in the mathematician's four-dimensional space there is a space not derived in any sense of the term as a residue of experience, however powerful a distillation of sensations or perceptions be resorted to, for it is not contained at all in the fluid that experience furnishes.
Paradoxical as it may sound, they are the product, not of our sleep, but of our waking. Such dreams belong to both worlds, partly to the three-dimensional and partly to the four-dimensional. While dreams are often only a hodge-podge of daytime experiences, their incredible rapidity, alien to that experience, gives us our first faint practicable intimation of a higher development of time.
In Minkowski's idiom this is expressed as follows: Not every extended conformation in the four-dimensional world can be regarded as composed of world-threads. The special theory of relativity forbids us to assume the ether to consist of particles observable through time, but the hypothesis of ether in itself is not in conflict with the special theory of relativity.
On the theory that the ether is an elastic solid of amazing properties, in which the light waves vibrate transversely to their direction, it assists the mind to think of the ether as four-dimensional, because then a light wave would be a superficial disturbance of the medium superficial, but three-dimensional, as must needs be the case with the surface of a four-dimensional solid.
The phenomena of clairvoyance make known a mode of vision which is confined to no specific sense organ, approximating much more closely to true perception than does physical sight. Mr. C.W. Leadbeater in Clairvoyance specifically affirms that this higher power of sight is four-dimensional. He says: "The idea of the fourth dimension as expounded by Mr.
The ten J's depend merely on the position of E in the four-dimensional manifold, and the element of impetus between E and P can be expressed in terms of the ten J's and the ten pairs of the four spatio-temporal measurements relating E and P. The numerical values of the J's will depend on the system of measurement adopted, but are so adjusted to each particular system that the same value is obtained for the element of impetus between E and P, whatever be the system of measurement adopted.
"To having reached the limit of observational accuracy; I understand, Professor Dandrik. Go on, Professor Faress." "I think that beyond 16.067543333-1/3 times light-speed, the micropositos ceased to have any velocity at all, velocity being defined as rate of motion in four-dimensional space-time.
The Higher Space Hypothesis is of assistance here. It is only necessary to remember that from the fourth dimension the interior of a solid is as much exposed as the interior of a plane figure is exposed from the region of the third dimension. A four-dimensional being would experience no difficulty, under suitable conditions, in possessing itself of any part of the bodily mechanism of another.
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