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Calhoun drilled him in the use of brightness-charts, by which the changes in apparent brightness of stars between overdrive hops could be correlated with angular changes to give a three-dimensional picture of the nearer heavens. It was a highly necessary art which had not been worked out on Dara, and the prospective astrogators became absorbed in this and other fine points of space-piloting.
It operates on a band of frequencies lying between the longest light and heat waves and the shortest radio waves. This thing here is the generator of those waves and a very heavy power amplifier. The headsets are stereoscopic transmitters, taking or receiving a three-dimensional view. Nearly all matter is transparent to those waves; for instance bones, hair, and so on.
In conceiving of a space of more than three dimensions we prove that our relation to God is not static, but dynamic. Christ said to the man who was sick of the palsy, "Rise, take up thy bed and walk." The narrow concept of three-dimensional space is a bed in which the human mind has lain so long as to become at last inanimate. The divine voice calls to us again to demonstrate that we are alive.
Then we shall have a vivid representation of three-dimensional spherical space, or, rather of three-dimensional spherical geometry. Here our spheres must be called "rigid" spheres.
From the architect's drawings the engineer establishes his points, lays out his angles, and runs his lines upon the site itself. The mason follows, and with his footing courses makes ponderable and permanent the lines of the engineer. These lines become in due course walls vertical planes. Floors and roofs horizontal planes follow, until some portion of three-dimensional space has been enclosed.
In this way creatures which cannot leave the spherical surface, and cannot even peep out from the spherical surface into three-dimensional space, might discover, merely by experimenting with discs, that their two-dimensional "space" is not Euclidean, but spherical space.
Here was the center of all space communications a proud city of giant crystal buildings. Here had been developed the first slidewalks, air cars, three-dimensional stereos and hundreds of other ideas for better living.
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!
"Unlike the spacial, three-dimensional physical world cognized only by the five senses, the astral spheres are visible to the all-inclusive sixth sense-intuition," Sri Yukteswar went on. "By sheer intuitional feeling, all astral beings see, hear, smell, taste, and touch. They possess three eyes, two of which are partly closed.
This three-dimensional model, or view, or whatever you want to call it, is converted into electricity in the headsets, and the resulting modulated wave goes back to the educator. There it is heterodyned with another wave this second frequency was found after thousands of trials and is, I believe, the exact frequency existing in the optic nerves themselves and sent to the receiving headset.
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