Zhang Yuan quickly established a mathematical model: "simply regard the Milky way as a plane, that is, R ^ 2. Consider one spacecraft doing standard Brownian motion, or two spacecraft doing independent standard Brownian motion.

"When the distance between the two spacecraft is less than a small constant, such as 0.01, it is regarded as meeting."

"Because the two-dimensional Brownian motion is recurrent in the neighborhood, as long as the time is long enough, the two spacecraft will meet."

"Consider two independent standard Brownian motions a (T), B (T). A (1) + B (1) and a (2) are identically distributed because B (2) = B (1) + [b (2) - B (1)] is also the sum of two independent standard normals. This means that the distribution of the sum of two independent standard Brownian motions at time t is equal to the distribution of a standard Brownian motion at time 2T. "

Zhang Yuan frowned and said, "considering this simple model, the probability of a moving spacecraft observing an alien civilization is twice that of a stationary spacecraft. In other words, if we can observe a civilization capable of interstellar voyage once in 1300 years on average, it will take 2600 years for earth civilization to observe once. "

Lin Xuanxuan's small mouth opened slightly, which was just some information out of nothing!

She was a little proud again and sighed that her eyes were good.

Soon, Zhang Yuan shook his head. This is just a simple model. Coupled with too few samples, the real situation must be very different from the estimation.

"If interstellar civilization is not so rare, then the universe may be more wonderful than we think!"

Of course, Zhang Yuan is not the only smart person in the spacecraft. With such a simple encounter, various ideas have emerged one after another.

First question: how big is this alien spacecraft and where is it going?

According to astronomical observations, it is at least as big as mercury! And it is moving at 40% of the speed of light. The faint light spot is the light generated by the friction and collision between the ultra-high-speed moving hull and trace particles in the universe.

Because of the extremely high sailing speed, the observed image is like noodles, which is elongated a little.

Its movement direction presents an included angle of 123 degrees with the movement direction of the earth times. The destination is unknown. Anyway, it is definitely not the earth or Gliese 581.

Seeing this, Zhang Yuan was slightly relieved. Anyway, it had nothing to do with their destination..

Second question, did the alien spacecraft discover the earth times?

Probably not. The earth time is still too small. In the dim universe, it can be said that it is impossible to see five fingers. If there is no external electromagnetic radiation, it is difficult to find an object 0.12 light-years away.

But the other party once sent a series of short signals, and I don't know whether they were sent in a directional way or in groups in all directions.

Zhang Yuandian opened this series of signals, about 600 bytes, and many peaks and troughs are repeated, indicating that it is an electromagnetic signal with logical significance.

Unfortunately, because the amount of data is too small, it is impossible for people to decipher these alien characters.

Then there will be no, even if the other party reports goodwill, human beings do not dare to observe boldly, let alone write back or scan it with radar. Besides, it is impossible for Earth time's radar to scan things 0.12 light-years away.

Zhang Yuan feels a little sorry that there is never a lack of matter in the universe. The most valuable thing is information. Humans who have never communicated with interstellar civilization miss this time and don't know what to do next time

There are many similar views in the post below.

The technology of this civilization must be much better than ours

[sure, don't you see it's a planetary ship? There should be no way to accelerate such a planet to 40% of the speed of light by nuclear fusion...]

[I think it uses vacuum zero energy, or black hole energy. It may also be an anti gravity propulsion device. We don't seem to see the plasma flame at the jet.]

[if only there were more observation data...]

After all, I didn't feel the fear from the unknown. In these recent posts, people's thoughts were indeed more optimistic and open. Zhang Yuan was a little itchy from all kinds of discussions and wanted to express some of his own views.

"Watch it, confiscate it!" Lin Xuanxuan grabbed his cell phone, "that's all for today. The patient must look like a patient. I don't care what happens when you leave the hospital. "

A week later, Zhang Yuan was officially discharged from the hospital and began his normal work.

He is already a high-level manager. With the aging of the spacecraft, he no longer has a lot of his own time as before.

His work became busier. Basically every week, he would organize people to maintain the whole spacecraft.

Moreover, in addition to the alien spaceship he met by chance, Zhang Yuan also learned some other stories that have happened over the past few hundred years

It's not a good thing.

First, the old captain left the ship he loved in the third year after his hibernation.

His successor was captain Lin of the Scientific Council.

This feeling, even if experienced many times, even if prepared, is still not so comfortable.

As soon as you open and close your eyes, some people have disappeared

Second, unfortunately, since the death of Mr. eddin on earth, the spacecraft has completely lost contact with the earth.

No great man of the same era has appeared.

What has happened to earth civilization is a complete unknown.

Zhang Yuan sighed and threw himself into his work

……

A year passed quickly, sending off one colleague after another, and then it was time to have a break meal and Hibernate again.

Lin Xuanxuan is the only life partner who can really accompany him for a long time.

While eating, Zhang Yuan suddenly felt that it was really good to have someone who had been with him all the time... Without this life partner, life might be worse.

"... how old are you this year?" Lin Xuanxuan asked.

"Me? What happened to the 1300 year old man? " Zhang Yuan just buried himself in dinner.

"Real age!"

“……30?” After careful calculation, Zhang Yuanzi suddenly found that he was 30 years old. And just in time, today is my birthday. In this environment, he really can't tell the passage of time, and he has never had the habit of birthday.

"Happy birthday, uncle 30!" Lin Xuanxuan touched out a red apple and handed it to him.

"Thank you, beautiful little sister... And your temperature!" Zhang Yuan joked. If you are used to fighting and making trouble, you will always have an instinctive sense of randomness, just like real relatives.

(how come there are so many books in the book review area, saying that I have water, and one person still sends several? There's nothing to say...)

(what else do you need to be fast-paced and relaxed? This is not a Xiaobai novel. My reading object has never been Xiaobai, okay