The Three-Body Problem

“It’s very smooth. Even though it has only the mass of a proton, I could feel some resistance against my hand.” The princeps was puzzled.

“That’s due to air resistance against the surface of the sphere.”

“Can you increase its dimensionality to eleven, and make it as small as a regular proton?”

As soon as the princeps said this, the science consul shouted to the sophon, his voice tinged with fear, “Attention! This is not a command!”

Sophon One understands.

“Princeps, if we increased the dimensionality to eleven, we would lose it forever. When the sophon shrinks to the size of a regular subatomic particle, the internal sensors and I/O ports will be smaller than the wavelength of any electromagnetic radiation. That means it would not be able to sense the macro world, and would not be able to receive our commands.”

“But we must eventually make it shrink back to a subatomic particle.”

“Yes, but that must await the completion of Sophon Two, Sophon Three, and Sophon Four. Multiple sophons may be able to form a system to sense the macro world through quantum effects. For example, suppose a nucleus has two protons. The two of them will interact and follow certain patterns of motion. Take spin: Maybe the direction of spin of the two protons must be opposite from each other. When these two protons are taken out of the nucleus, no matter how far apart they are, this pattern will remain in effect. When both protons are made into sophons, they will, based on this effect, create a mutual-sensing system. More sophons can then form a mutual-sensing formation. This formation’s scale can be adjusted to any size, and can thus receive electromagnetic waves to sense the macro world at any frequency. Of course, the actual quantum effects necessary to create such a sophon formation are very complicated. My explanation is only an analogy.”

*   *   *

The unfolding of the next three protons into two dimensions succeeded on the first try. The construction of each sophon also took only half as long as Sophon One. After the construction of Sophon Two, Sophon Three, and Sophon Four, the quantum sensing formation was also created successfully.

The princeps and all the consuls once again came to the Pendulum Monument. Above them hovered four sophons shrunk to six-space. In the crystalline mirrored surface of each was an image of the rising sun, recalling the three-dimensional eyes that had once appeared in space.

>Sophon formation, adjust dimensionality to eleven.

After the command was issued, the four mirrored spheres disappeared. The science consul said, “Princeps, now Sophon One and Sophon Two will be launched toward the Earth. Using the large knowledge base stored in the micro circuits, the sophons understand the nature of space. They can draw energy from the vacuum and become high-energy particles in a moment, and navigate through space at nearly the speed of light. This might appear to violate the law of conservation of energy, but in fact the sophons are only ‘borrowing’ energy from the structure of vacuum. However, the time for returning such energy is far in the future, when the proton decays. By then, the end of the universe will not be far.

“After the two sophons arrive on Earth, their first mission is to locate the high-energy particle accelerators used by humans for physics research and hide within them. At the level of science development on the Earth, the basic method for exploring the deep structure of matter is to use accelerated high-energy particles to collide with target particles. After the target particles have been smashed, they analyze the results to try to find information reflecting the deep structure of matter. In actual experiments, they use the substance containing the target particles as the bull’s-eye for the accelerated bullets.

“But the inside of the substance being struck is almost all vacuum. Suppose an atom is the size of a theater; the nucleus is like a walnut hovering in the center of the theater. Thus, successful collisions are very rare. Often large quantities of high-energy particles must be directed against the target substance for a sustained period of time before a collision occurs. This kind of experiment is akin to looking for a raindrop of a slightly different color in a summer thunderstorm.

“This gives the sophons an opening. A sophon can take the place of a target particle and accept the collision. Because they’re highly intelligent, they can precisely determine through the quantum sensing formation the paths that the accelerated particles will follow within a very short period of time and move to the appropriate location. Thus, the likelihood that a sophon will be struck will be billions of times greater than the actual target particle. After a sophon is struck, it can deliberately give out wrong and chaotic results. Thus, even if the actual target particle is occasionally struck, Earth physicists will not be able to tell the correct result from the numerous erroneous results.”