The Three-Body Problem

The torrent of one-dimensional strings continued for more than twenty Trisolaran hours before finally ending, though not because the strings had all fallen to the ground. Although their mass was unimaginably minuscule, they still had some, and so their acceleration under gravity was the same as normal matter. However, once inside the atmosphere, they were completely dominated by the air currents and would never fall to the ground. After being unfolded into one dimension, the strong nuclear force within the proton became far more attenuated, weakening the string. Gradually, it broke into tiny pieces, and the light they reflected was no longer visible. People thought they had disappeared, but pieces of the one-dimensional string would drift in the air of Trisolaris forever.

*   *   *

Fifty Trisolaran hours later, the second attempt to unfold a proton into two dimensions began. Soon, the crowd on the ground saw something odd. After the heat sinks of the fusion generators began to glow red, several colossal objects appeared near the accelerator. All of them were in the form of regular geometric solids: spheres, tetrahedrons, cubes, cones, and so on. Their surfaces had complex coloration, but close examination showed that they were, in fact, colorless. The surfaces of the geometric solids were completely reflective, and what the people saw were just distorted, reflected images of the surface of Trisolaris.

“Have we succeeded?” the princeps asked. “Is that the proton unfolded into two dimensions?”

The science consul replied, “Princeps, it’s still a failure. I just received the report from the accelerator control center. The unfolding left one too many dimensions in, and the proton was unfolded into three dimensions.”

The giant, reflective geometric solids continued to pop into existence in great numbers, and their forms became more various. There were tori, solid crosses, and even something that looked like a Möbius strip. All the geometric solids drifted away from the location of the accelerator. About half an hour later, the solids filled more than half the sky, as though a giant child had emptied a box of building blocks in the firmament. The light reflected from the mirror surfaces doubled the brilliance of the light hitting the ground, but the intensity continuously shifted. The shadow of the giant pendulum flickered in and out, and swayed from side to side.

Then, all the geometric solids began to deform. They gradually lost their regular shapes, as though they were melting in heat. The deformation accelerated and the resulting lumps became more and more complex. Now the objects in the sky no longer reminded people of building blocks, but of a giant’s dismembered limbs and disemboweled viscera. Because their shapes were no longer so regular, the light they reflected to the ground became softer, but their own surface coloration turned even more strange and unpredictable.

Out of the mess of three-dimensional objects, a few in particular drew special attention from observers on the ground. At first, it was only because the objects in question were very similar to each other. But upon closer examination, people recognized them, and a wave of terror swept Trisolaris.

They were all eyes! [Of course, we don’t know what Trisolaran eyes look like, but we can be certain that any intelligent life would be very sensitive to representations of eyes.]

The princeps was one of the few who kept calm. He asked the science consul, “How complicated can the internal structure of a subatomic particle be?”

“It depends on the number of dimensions of your observation perspective. From a one-dimensional perspective, it’s only a point—that’s how ordinary people think of the particles. From a two- or three-dimensional perspective, the particle begins to show internal structure. From a four-dimensional perspective, a fundamental particle is an immense world.”

The princeps said, “To use a word like ‘immense’ to describe a subatomic particle such as a proton seems incredible to me.”

The science consul ignored the princeps and continued, “As we move to higher dimensions, the complexity and number of structures within a particle increase dramatically. The comparisons I’m about to make will not be precise, but should give you an idea of the scale. A particle seen from a seven-dimensional perspective has a complexity comparable to our Trisolaran stellar system in three dimensions. From an eight-dimensional perspective, a particle is a vast presence like the Milky Way. When the perspective has been raised to nine dimensions, a fundamental particle’s internal structures and complexity are equal to the whole universe. As for even higher dimensions, our physicists haven’t been able to explore them, so we cannot yet imagine the degree of complexity.”

The princeps pointed to the giant eyes in space. “Do these show that the microcosmos contained within the unfolded proton harbors intelligent life?”