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SATAN AND PERPENDICULAR WORLDS 75<br />

tiny quantum wormholes must connect every part of space to every other part!<br />

The other use of the word "wormhole" refers to a possible zone of transition at<br />

the center of a rotating black hole.<br />

To fully realize a wormhole, Morris and Thorne calculated various properties<br />

of matter required to form the wormholes throat. One property of interest<br />

to them was the tension (i.e., the breaking strength) of matter needed to keep<br />

the wormhole open. What they found was that the required tension would be<br />

very large. As Paul Halpern in his book Cosmic Wormholes notes, for a throat<br />

that is four miles across, the quantity offeree needed is 10 33 pounds per square<br />

inch. This would be more than the pressure of a trillion boxes, weighing a trillion<br />

tons each, placed in the palm of your hand. Larger wormholes with wider<br />

throats would have more reasonable values for throat tension.<br />

In additional, Morris and Thorne found another difficult situation to overcome<br />

when considering the matter needed to form the gateway. The tension<br />

required for keeping the wormhole open must be 10 17 times greater than the<br />

density of the substance used to build the wormhole. According to current science,<br />

there is no matter in the universe today having breaking tensions so<br />

much larger than their densities. In fact, if the tension of a piece of matter were<br />

to rise above 10 17 times its own density, physicists feel that the material would<br />

begin to possess strange attributes, such as negative mass. Because of these<br />

unusual characteristics, the type of matter needed to keep wormholes open has<br />

been called exotic matter. Matter of this type may exist in the vacuum fluctuations<br />

of free space. To make wormhole construction easier, it may be possible<br />

to construct the entire wormhole out of normal matter and use exotic matter<br />

only in a limited band at the throat. 1<br />

Hyperdimensional Chess Knights and Monopoly<br />

Let's have some real fun in these last sections. Not only is it interesting to speculate<br />

about the fourth dimension in mathematics and physics, but the fourth<br />

dimension also provides a fertile ground for extending puzzles and games. As<br />

an example, let's consider chess.<br />

Chess is essentially a 2-D game in which pieces slide along the surface of the<br />

checkerboard plane. Playing pieces usually can't jump up into the third dimension<br />

to get around one another. The Knight, however, is a hyperdimensional<br />

being because it can leave the playing board plane to leap over other pieces in<br />

its way. (The Knight is "hyperdimensional" in the sense that it can exploit the

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