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XVI<br />

preface<br />

My soul is an entangled knot<br />

Upon a liquid vortex wrought<br />

The secret of its untying<br />

In four-dimensional space is lying.<br />

I call such four-dimensional beings "Gods." If we ever encounter beings<br />

that can move in a fourth spatial dimension, we would find that they can perform<br />

levitation, bloodless surgery, disappear in front of our eyes, walk through<br />

walls. ... It would be very difficult to hide from them no matter where we<br />

went. Objects locked in safes would be easy for them to retrieve. If such a<br />

being were observed in biblical times, it would be considered a God with many<br />

characteristics of omniscience, omnipresence, and omnipotence.<br />

A Note on Terminology<br />

Most Earthly cultures have a vocabulary with words like up, down, right, left,<br />

north, south, and so forth. Although the terms "up" and "down" have meaning<br />

for us in our three-dimensional universe, they are less useful when talking about<br />

movements from the three-dimensional universe into the fourth dimension. To<br />

facilitate our discussions, I use the words "upsilon" and "delta," denoted by the<br />

Greek letters Y and A. These words can be used more or less like the words up<br />

and down, as you will see when first introduced to the terms in Chapter 3.<br />

The term "hyperspace" is popularly used when referring to higher dimensions,<br />

and hyper- is the correct scientific prefix for higher-dimensional geometries.<br />

Like other authors, I have adhered to the custom of using hyperspace<br />

when referring to higher dimensions. The word "hyperspace" was coined by<br />

John W. Campbell in his short story "The Mightiest Machine" (1934), and<br />

the term has been used both by science-fiction writers and physicists ever<br />

since. Moreover, physicists sometimes use hyperspace in discussions of the<br />

structure of our universe. For example, if we cannot move faster than light in<br />

this universe, perhaps we can take a shortcut. Astrophysicists sometimes speculate<br />

that there may be a way to slip out of ordinary space and return to our<br />

own universe at some other location via a crumpling of space. This severe<br />

folding takes place in hyperspace so that two seemingly faraway points are<br />

brought closer together. Some physicists also view hyperspace as a higher<br />

dimension in which our entire universe may be curved—in the same way that<br />

a flat piece of paper can be flexed or rolled so that it curves in the third<br />

dimension.

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