The Three-Body Problem
A red EXIT sign showed up above the Great Hall’s cavelike entrance. Players in the Great Hall streamed toward it, and Wang followed the crowd. Through the long tunnel, they finally emerged outside the pyramid. Heavy snow falling through the night air greeted them. The bone-chilling cold caused Wang to shiver, and a display in a corner of the sky indicated that game time had sped up again.
The snow continued without pause for ten days. By now the snowflakes were large and heavy, like pieces of solidified darkness. Someone whispered next to Wang, “The snow is now composed of frozen carbon dioxide, dry ice.” Wang turned around and saw that the speaker was Follower.
After another ten days, the snowflakes turned thin and translucent. By the weak light from a few torches within the entrance to the long tunnel, the snowflakes gave off a faint blue glow, like pieces of dancing mica.
“Those snowflakes are now composed of solidified oxygen and nitrogen. The atmosphere is disappearing through deposition, which means it’s near absolute zero above.”
Snow gradually buried the pyramid. The lowest layers were composed of water snow, then dry ice, and finally, on top, snow made of oxygen and nitrogen. The night sky became especially clear, and the stars glowed like a field of silver bonfires. A line of text appeared against the starry background:
The long night lasted forty-eight years. Civilization Number 137 was destroyed by the extreme cold. This civilization had advanced to the Warring States Period before succumbing.
The seed of civilization remains. It will germinate and again progress through the unpredictable world of Three Body. We invite you to log on in the future.
Before exiting the game, Wang noticed the three flying stars in the sky. Revolving closely around each other, they seemed to perform a strange dance against the abyss of space.
8
Ye Wenjie
Wang took off the V-suit and panoramic viewing helmet. His shirt was soaked with sweat, as if he had just awoken from a nightmare. He left the Research Center, got into his car, and drove to the address given to him by Ding Yi: the house of Yang Dong’s mother.
Chaotic Era, Chaotic Era, Chaotic Era …
The thought turned and turned in Wang’s head. Why would the path of the sun through the world of Three Body be devoid of regularity and pattern? Whether a planet’s orbit is more circular or more elliptical, its motion around its sun must be periodic. Total irregularity in planetary motion is impossible.…
Wang grew angry with himself. He shook his head, trying to chase away these thoughts. It’s only a game!
But I lost.
Chaotic Era, Chaotic Era, Chaotic Era …
Damn it! Stop! Why am I thinking about this? Why?
Soon, Wang found the answer. He had not played any computer games for years, and the hardware for gaming had clearly advanced greatly in the interim. The virtual reality and multisensory feedback were all effects he had not experienced as a young student. But Wang also knew that the sense of realism in Three Body wasn’t due to the interface technology.
He remembered taking a class in information theory as a third-year student in college. The professor had put up two pictures: One was the famous Song Dynasty painting Along the River During the Qingming Festival, full of fine, rich details; the other was a photograph of the sky on a sunny day, the deep blue expanse broken only by a wisp of cloud that one couldn’t even be sure was there. The professor asked the class which picture contained more information. The answer was that the photograph’s information content—its entropy—exceeded the painting’s by one or two orders of magnitude.
Three Body was the same. Its enormous information content was hidden deep. Wang could feel it, but he could not articulate it. He suddenly understood that the makers of Three Body took the exact opposite of the approach taken by designers of other games. Normally, game designers tried to display as much information as possible to increase the sense of realism. But Three Body’s designers worked to compress the information content to disguise a more complex reality, just like that seemingly empty photograph of the sky.
Wang let his mind wander back to the world of Three Body.
Flying stars! The key must be in the flying stars. One flying star, two flying stars, three flying stars … what did they mean?
As he had that thought, he found himself at his destination.
* * *
At the foot of the apartment building, Wang saw a graying, thin woman, about sixty years old. She wore glasses and was struggling to go up the stairs with a basket of groceries. He guessed that this was the woman he had come to see.
A quick greeting confirmed his guess. She was Yang Dong’s mother, Ye Wenjie. After hearing the purpose of Wang Miao’s visit, she was grateful and appreciative. Wang was familiar with old intellectuals like her: The long years had ground away all the hardness and fierceness in their personalities, until all that was left was a gentleness like that of water.
Wang carried the grocery basket up the stairs for her. When they got to her apartment, it turned out to be not as quiet as he had expected: Three children were playing, the oldest about five, and the youngest barely walking. Ye told Wang that they were all the neighbors’ kids.
“They like to play at my place. Today is Sunday, and their parents need to work overtime, so they left them to me.… Oh, Nan Nan, have you finished your picture? Oh, it looks great! Shall we give it a title? ‘Ducklings in the Sun’? Sounds good. Let Granny write it for you. Then I’ll put down the date: ‘June 9th, by Nan Nan.’ And what do you want to eat for lunch? Yang Yang, you want fried eggplant? Sure! Nan Nan, you want the snow peas like you had yesterday? No problem. How about you, Mi Mi? You want some meat-meat? Oh, no, your mom told me that you shouldn’t eat so much meat-meat, not easy to digest. How about some fishie instead? Look at this big fishie Granny bought.…”
Wang observed Ye and the children, absorbed in their conversation. She must want grandkids. But even if Yang Dong were alive, would she have had children?
Ye took the groceries into the kitchen. When she reemerged, she said, “Xiao Wang, I’m going to soak the vegetables for a while.” She had slipped effortlessly into addressing him by an affectionate diminutive. “These days, they use so much pesticide that when I feed the children, I have to soak the vegetables for at least two hours— Why don’t you take a look in Dong Dong’s room first?”
Her suggestion, tagged on at the end as though it was the most natural thing in the world, made Wang anxious. Clearly, she had figured out the real purpose of his visit. She turned around and went back into the kitchen without giving Wang another glance, and so avoided seeing his embarrassment. Wang was grateful that she was so considerate of his feelings.
Wang walked past the three happily playing children and entered the room that Ye had indicated. He paused in front of the door, seized by a strange feeling. It was as if he had returned to his dream-filled youth. From the depths of his memory arose a tingling sadness, fragile and pure like morning dew, tinged with a rosy hue.
Gently, he pushed the door open. The faint fragrance that filled the room was unexpected, the smell of the forest. He seemed to have entered the hut of a ranger: The walls were covered by strips of bark; the three stools were unadorned tree stumps; the desk was made from three bigger tree stumps pushed together. And then there was the bed, apparently lined with ura sedge from Northeast China, which the locals stuffed into their shoes to stay warm in the cold climate. Everything was rough-hewn and seemingly careless, without signs of aesthetic design. Yang Dong’s job had earned her a high income, and she could have bought a home in some luxury development, but she chose to live here with her mother instead.
Wang walked up to the tree-stump desk. It was plainly furnished, and nothing on it betrayed a hint of femininity or scholarly interest. Maybe all such objects had been taken away, or maybe they had never been there. He noticed a black-and-white photograph in a wooden frame, a portrait of mother and daughter. In the picture, Yang Dong was just a little girl,
and Ye Wenjie was crouching down so that they were the same height. A strong wind tangled the pair’s long hair together.
The background of the photograph was unusual: The sky seemed to be seen through a large net held up by thick steel supporting structures. Wang deduced that it was some kind of parabolic antenna, so large that its edges were beyond the frame of the photograph.
In the picture, little Yang Dong’s eyes gave off a fright that made Wang’s heart ache. She seemed terrified by the world outside the picture.
Next, Wang noticed a thick notebook at the corner of the desk. He was baffled by the material the notebook was made of until he saw a line of childish writing scrawled across the cover: Yang Dong’s Birch-bark Notebook. “Birch” was written in pinyin letters instead of using the character for it. The years had turned the silvery bark into a dull yellow. He reached out to touch the notebook, hesitated, and retracted his hand.
“It’s okay,” Ye said from the door. “Those are pictures Dong Dong drew when she was little.”
Wang picked up the birch-bark notebook and gently flipped through it. Ye had dated each picture for her daughter, just like she had been doing for Nan Nan in the living room.
Wang saw that, based on the dates on the pictures, Yang Dong was three when she drew them. Normally, children of that age are able to draw humans and objects with clear shapes, but Yang Dong’s pictures remained only messes of random lines. They seemed to express a kind of passionate anger and desperation born out of a frustrated desire to express something—not the sort of feeling one would expect in a child that young.
Ye slowly sat down on the edge of the bed, her eyes staring at the notebook, lost in thought. Her daughter had died here, ended her life while she slept. Wang sat next to her. He had never felt such a strong desire to share the burden of another’s pain.
Ye took the birch-bark notebook from him and held it to her chest. In a low voice, she said, “I wasn’t good at teaching Dong Dong in an age-appropriate manner. I exposed her too early to some very abstract, very extreme topics. When she first expressed an interest in abstract theory, I told her that field wasn’t easy for women. She said, what about Madame Curie? I told her, Madame Curie was never really accepted as part of that field. Her success was seen as a matter of persistence and hard work, but without her, someone else would have completed her work. As a matter of fact, Wu Chien-Shiung went even further than Madame Curie.21 But it really isn’t a woman’s field.
“Dong Dong didn’t argue with me, but I later discovered that she really was different. For example, let’s say I explained a formula to her. Other children might say, ‘What a clever formula!’ But she would say, ‘This formula is so elegant, so beautiful.’ The expression on her face was the same as when she saw a pretty wildflower.
“Her father left behind some records. She listened to all of them and finally picked something by Bach as her favorite, listening to it over and over. That was the kind of music that shouldn’t have mesmerized a kid. At first I thought she picked it on a whim, but when I asked her how she felt about the music, she said that she could see in the music a giant building, a large, complex house. Bit by bit, the giant added to the structure, and when the music was over, the house was done.…”
“You were a great teacher for your daughter,” Wang said.
“No. I failed. Her world was too simple, and all she had were ethereal theories. When they collapsed, she had nothing to lean on to keep on living.”
“Professor Ye, I can’t say that I agree with you. Right now, events are happening that are beyond our imagination. It’s an unprecedented challenge to our theories about the world, and she’s not the only scientist to have stumbled down that path.”
“But she was a woman. A woman should be like water, able to flow over and around anything.”
* * *
As Wang was about to leave, he remembered the other purpose for his visit. He mentioned to Ye his wish to observe the cosmic microwave background.
“Oh, that. There are two places in China that work on it. One is an observatory in Ürümqi—I think it’s a project by the Chinese Academy of Sciences’ Space Environment Observation Center. The other is very close by, a radio astronomy observatory located in the suburbs of Beijing, which is run by the Chinese Academy of Sciences and Peking University’s Joint Center for Astrophysics. The one in Ürümqi does ground observation, and the one here just receives data from satellites, though the satellite data is more accurate and complete. I have a former student working there, and I can make a call for you.” Ye found the phone number and dialed it. The ensuing conversation seemed to go smoothly.
“You’re all set,” Ye said as she hung up. “Let me give you the address. You can go over anytime. My student’s name is Sha Ruishan, and he’s going to be working the night shift tomorrow.… I don’t think this is your field of research, right?”
“I work in nanotech. This is for … something else.” Wang was afraid that Ye was going to ask more questions about why he sought this information, but she did not.
“Xiao Wang, you look a bit pale. How’s your health?” she asked, her face full of concern.
“It’s nothing. Please don’t worry.”
“Wait a moment.” Ye took a small wooden box out of a cabinet. Wang saw from the label that it was ginseng. “An old friend from the base, a soldier, came to visit me a few days ago and brought this—take it, take it! It’s cultivated, not very precious. I have high blood pressure and can’t use it anyway. You can slice it thinly and make it into a tea. You look so pale that I’m sure you can use the enrichment. You’re still young, but you have to watch your health.”
Wang accepted the box, warmth filling his chest. His eyes moistened. It was as though his heart, stressed almost beyond the breaking point by the last few days, had been placed onto a pile of soft down feathers. “Professor Ye, I will come visit you often.”
9
The Universe Flickers
Wang Miao drove along Jingmi Road until he was in Miyun County. From there he headed to Heilongtan, climbed up the mountain along a winding road, and arrived at the radio astronomy observatory of the Chinese Academy of Sciences’ National Astronomical Center. He saw a line of twenty-eight parabolic antenna dishes, each with a diameter of nine meters, like a row of spectacular steel plants. At the end were two tall radio telescopes with dishes fifty meters in diameter, built in 2006. As he drove closer, Wang could not help but think of the background in the picture of Ye and her daughter.
But the work of Sha Ruishan, Ye’s student, had nothing to do with these radio telescopes. Dr. Sha’s lab was mainly responsible for receiving the data transmitted from three satellites: the Cosmic Background Explorer, COBE, launched in November of 1989 and about to be retired; the Wilkinson Microwave Anisotropy Probe, WMAP, launched in 2003; and Planck, the space observatory launched by the European Space Agency in 2009.
Cosmic microwave background radiation very precisely matched the thermal black body spectrum at a temperature of 2.7255 K and was highly isotropic—meaning nearly uniform in every direction—with only tiny temperature fluctuations at the parts per million range. Sha Ruishan’s job was to create a more detailed map of the cosmic microwave background using observational data.
The lab wasn’t very big. Equipment for receiving satellite data was squeezed into the main computer room, and three terminals displayed the information sent by the three satellites.
Sha was excited to see Wang. Clearly bored with his long isolation and happy to have a visitor, he asked Wang what kind of data he wanted to see.
“I want to see the overall fluctuation in the cosmic microwave background.”
“Can you … be more specific?”
“What I mean is … I want to see the isotropic fluctuation in the overall cosmic microwave background, between one and five percent,” he said, quoting from Shen’s email.
Sha grinned. Starting at the turn of the century, the Miyun Radio Astronomy Observatory had opened itself
to visitors. In order to earn some extra income, Sha often played the role of tour guide or gave lectures. This was the grin he reserved for tourists, as he had grown used to their astounding scientific illiteracy. “Mr. Wang, I take it you’re not a specialist in the field?”
“I work in nanotech.”
“Ah, makes sense. But you must have some basic understanding of the cosmic microwave background?”
“I don’t know much. I know that as the universe cooled after the big bang, the leftover ‘embers’ became the cosmic microwave background. The radiation fills the entire universe and can be observed in the centimeter wavelength range. I think it was back in the sixties when two Americans accidentally discovered the radiation when they were testing a supersensitive satellite reception antenna—”
“That’s more than enough,” Sha interrupted, waving his hands. “Then you must know that unlike the local variations we observe in different parts of the universe, the overall fluctuation in the cosmic microwave background is correlated with the expansion of the universe. It’s a very slow change measured at the scale of the age of the universe. Even with the sensitivity of the Planck satellite, continuous observation for a million years might not detect any such shift. But you want to see a five percent fluctuation tonight? Do you realize what that would mean? The universe would flicker like a fluorescent tube that’s about to burn out!”
And it will be flickering for me, Wang thought.
“This must be some joke from Professor Ye,” Sha said.
“Nothing would please me more than to discover that it was a joke,” Wang said. He was about to tell Sha that Ye didn’t know the details of his request, but he was afraid that Sha would then refuse to help him.
“Well, since Professor Ye asked me to help you, let’s do the observation. It’s not a big deal. If you just need one percent precision, data from the antique COBE is sufficient.” As he spoke, Sha typed quickly at the terminal. Soon a flat green line appeared on the screen. “This curve is the real-time measurement of the overall cosmic microwave background—oh, calling it a straight line would be more accurate. The temperature is 2.725±0.002K. The error range is due to the Doppler effect from the motion of the Milky Way, which has already been filtered out. If the kind of fluctuation you anticipate—in excess of one percent—occurs, this line would turn red and become a waveform. I would bet that it’s going to stay a flat green line until the end of the world, though. If you want to see it show the kind of fluctuation observable by the naked eye, you might have to wait until long after the death of the sun.”