Over the past five years, as the two sides gradually dropped their vigilance, high-level visits between the two sides have become more frequent, especially between scientists

Scientists always have to keep a strong curiosity about the outside world. Scientists from Goethe are eager to experience life on the spaceship and prepare for the possible interstellar voyage in the future.

Of course, every time the glitzers bring in some technology of their own civilization in exchange.

After the necessary safety testing and biochemical disinfection, soon, these glitzers dressed in space suits, re landed on the "earth age" and lived in their own living area.

Apart from some politicians, most of the guests who come from afar this time are mathematicians. The main topic they are talking about is some conjectures about "transcendental numbers". They will live in the spaceship for half a year.

A small pangolin came on stage and introduced a new method of judging transcendental number.

Mathematics is always the same language of the universe. The four ancient civilizations of mankind, without mutual connection, all have their own mathematical systems. As a kind of "elegant art", a civilization that can not enjoy the fun of mathematics is absolutely ignorant and uncivilized.

But compared with the endless mathematical problems, there are too few mysteries that human beings can solve.

For a simple example, is π a transcendental number?

It can be proved that it is a transcendental number.

Is Euler constant e a transcendental number?

Of course, it can be proved!

What about e π?

The answer is: No.

It sounds very simple, but it's a world-class problem!

Even if Zhang Yuan is such a master of mathematics, there is no way to judge whether e π is transcendental or not. With the development of human mathematics, only a very limited number of problems can be solved. Even if the computer can calculate (E π) to thousands of trillions of significant digits, but compared with infinity, it is not much different from zero.

The exchanges between civilizations can really promote the development of these disciplines.

There are great differences in thinking among different civilizations, and there are places to learn from each other. This kind of exchange is not as simple as 11.

Of course, at present, these mathematical problems can hardly affect the productivity of the whole society. At most, they are equivalent to the self entertainment of top scientists.

The orbit of the spacecraft with the highest accuracy requirements, the accuracy of the PI is only 15 or 16 decimal places. It doesn't matter much whether the PI is a transcendental number or not.

10 decimal places is enough to make the earth's circumference accurate within 1 inch! 30 decimal places can make the whole visible universe around accurate to even the most powerful microscope can not distinguish a quantity! Therefore, with regard to this knowledge, the two sides will exchange it with each other in a big way. The high level of the new civilization does not prohibit this kind of behavior, but has the meaning of encouragement.

But why judge and solve these seemingly unimportant mathematical problems?

Because

It's right there!

“…… That's our latest research. It's about a way to judge transcendental numbers. Thank you for listening

There was a lot of applause and discussion. Flash dance can be warmly applauded, indicating that this speech is very popular.

And this group of pangolins have also been used to human etiquette and communication, they wear space suits, after being praised, they look quite satisfied.

"Professor an Bogu, I have a different opinion about your inference 314..." Zhang Yuan stood up, put forward a few doubts, all received a good answer.

After the first exchange meeting, these glitzers will have more than ten days' rest, and then they will have the second and third exchange meeting. Human beings have long been accustomed to their work and rest.

Zhang Yuan didn't want to wait more than ten days. When the other party returned to the living area, he asked: "well, Mr. ganyaduo, what interesting trading ideas did you come up with during your visit? Let's talk about it first. Let's be prepared. "

"As long as it meets the demands of both sides, I believe there is still a lot of room for negotiation..."

There are many things that human beings lack at present, such as smart phones, which can significantly improve the quality of life of the common people, but they are not the development focus of the new civilization at all.

It's also a good choice to buy some from glitzer civilization.

There are also some high-end robot chips and high-precision parts. If the glitzers can produce them on their behalf, then the next human development will be smoother and faster.

Most of what human beings pay for is entertainment products, as well as their own technology.

In fact, this kind of exchange is acceptable.

This time, the other side brought a lot of goods, including more than 10000 traditional silicon-based chips, which is not much compared with the demand of human beings, but also a good opening.

Scientists are testing the quality of these products and studying compatibility issues.Ganyaduo turned his head. Because he had not been dormant for a long time, he felt a little tired.

It solemnly said: "Mr. Zhang Yuan, our biggest appeal is a star class spacecraft The rest is easy to say. It's just an addition to this ship. "

"As you know, only a mothership like the earth age can bear the heavy responsibility of restarting a civilization, and will not let the whole civilization die out on a different planet."

"And we also need technologies related to interstellar colonization, such as space elevator, structure of large centrifugal wheel, structure of ecological circulation system At least we have to learn how to repair the spaceship? "

This knowledge must be very expensive, new human civilization can not be sold at a low price, so it can only be traded slowly. Including the chips brought up, they also belong to the category of trading.

Zhang Yuan nodded and said, "I'm sorry, personally, I really want to facilitate this biggest deal, to build a giant mothership to help you leave the planet..."

"But limited to productivity, we can't produce such a huge spaceship for the time being. Even if human beings develop very smoothly, it will be one or two hundred years later. We can't promise hundreds of years later It's responsibility to both sides. "

Ganyaduo pointed to his feet and said, "no, no, no, I mean, how long does your current Mothership, the earth age, last?"

"Length of service?"

This topic is a little sensitive, but it doesn't matter to disclose a little information. Zhang Yuan said: "it depends on the maintenance. The main skeleton of this spaceship is high-strength metal. If it is put in space, there will be no change for thousands of years"

"there may be some wear on the bearing of the centrifugal wheel The radiation protection layer and gas gel layer in the living area have shorter life expectancy. The exterior is made of flexible materials, almost 50 years. "

"There are also some electronic devices that have a shorter service life and need to be replaced within a few years or decades..."

"So its service life, at least 50 years."

Therefore, if human beings develop safely for decades, it will have been earth shaking changes, and human beings will gradually be livable to the surface.

This original Mothership will also be gradually eliminated. Human beings can not live in the spaceship all the time. This is an inevitable event.

"So, is it possible for it to complete a new interstellar journey?"

"You mean..."

Zhang Yuan was slightly surprised and soon thought of a possibility.

Is this guy You want the earth age?

Of course, it's not now, but after waiting for decades, after all the humans have moved underground and eliminated this spaceship

Glitzers have plenty of patience to wait.

As if seeing Zhang Yuan's doubts, Gan Yaduo explained: "we will choose a planet closer to us as an immigration point, and strive to complete this star trek within 500 to 1000 years Correspondingly, the spacecraft we need must have such a high service life. "

"To buy a second-hand spaceship is almost our minimum requirement. I hope you can consider our requirements carefully."

Seeing the leader leave, Zhang Yuan kept pondering in his heart.

It's like Not without feasibility!

It can even be said that Great feasibility!

He soon brought the news back to the captain's room.

"What?"

After listening to Zhang Yuan's story, everyone jumped up in surprise. Even captain Zhao was surprised.

It may take human beings 100 or 200 years to rebuild a spaceship sailing between stars. It will cost huge productivity and even delay the development of other industries. So think about it, a little reluctant.

Even if you get a universal factory, you will lose too much.

However, if the earth age is to be renovated on a large scale, the amount of work required and the difficulty will be much less. Maybe it will only take 30 to 40 years of development!

"Manufacturing and renovation are two completely different difficulties. The skeleton of the earth age is complete. If it is renovated, it is not impossible to complete another interstellar journey. "

Captain Zhao frowned and said, "it must be feasible from an economic point of view If in a few decades our population has completely moved out. It's not too much to trade it for a universal factory

"After all, the technology of earth age was 3000 years ago. Now, we can certainly build a better and better mothership."

Zhang Yuan also agreed: "it's equivalent to a big step back. They changed from a new spaceship they needed to a second-hand spaceship Let's figure out how much work it will take to completely renovate the earth age, and how much time can we earn? "

For a moment and a half, everyone was silent. If you want to carry out large-scale maintenance, you must first have a large enough star port and build a repair dock."It is estimated that this production target will be achieved in 20 years."

But the earth age is too old indeed, if you want to continue the next star journey, you must overhaul it completely. In addition to some of the framework does not need to be modified, the rest, including the living area, bearings, cooling area, central control area, all have to be repaired.

"One of the experts said It is conservatively estimated that the repair work can be completed in 20 years by allocating a certain production line and adding 80000 people to the repair work. Some of the computers in the core areas are manufactured by the glitzers themselves, which saves a lot of trouble. "

"20 plus 20, that is, it will take at least 40 years to complete this transaction..."

Forty years, what a long number!

However, it is still very cost-effective for mankind to complete this transaction in 40 years. At that time, the population was less than 5 million, and the combined productivity of all people was so low that it might not be comparable to a universal factory.

"Even without this deal, humans still have to build functional buildings like star ports and docks."

"So, at most, it's just some repair work."

By the way!

Zhang Yuan suddenly asked Professor Yamamoto, "after 40 years of hard work, can we develop virtual technology, and then slowly guide and entice all the glitzers in the other 12 cities into the virtual world?"

"If there are 12 omnipotent factories, we can not do the troublesome business of this one, or even snatch it directly..."

After listening to Zhang Yuan's proposal, the meeting room once fell into silence.

Sitting next door, Li Zhendong can't help scratching his head with his fingers. How can Zhang Yuan So many bad ideas?

Li Zhendong is still cheeky A few minutes ago, we held a very friendly mathematics meeting, and then we secretly discussed how to rob others, which is really difficult to achieve.

No, it can be said that the whole human civilization is very important!

It's not too much psychological burden to send those drunken guys into the virtual space, but now Goethe is the last hope of this civilization!

"Well, it's my fault..." After some calculation, Zhang Yuan vetoed the plan on his own.

"Although this plan will bring short-term benefits, in the long run, plunder will make the ideology of the people produce unfriendly deviation, and it is not conducive to the ruling idea of our whole school..."

"If we have 12 universal factories, there is no need to rob others for one..."

Greed is not a big mistake, but it is a sin to be insatiable.

Then, Zhao Qingfeng vetoed Zhang Yuan's plan from another angle: "even if this technology is successfully developed, 40 years is certainly not enough!"

"You know, glitzers don't work, rest and life cycle the same as us. We think 40 years is a long time, but they don't think so at all. Forty years is almost the same as our four years. It is impossible to produce a huge ideological change. "

"Therefore, even if virtual technology comes out, it is impossible to completely brainwash them in just 40 years..."

"One or two hundred years is more or less..."

Zhang Yuan agreed with this view: "well, time is not allowed at all Then, in 40 years, we should try to strive for the most accessible universal factory, and it is also good to leave a spark for glitzer civilization. Ah, that's it. This calamitous civilization. "

They were all relieved and began to discuss the next construction rectification.

After thinking about it for a while, Captain Zhao thought of something else and said with a bitter smile, "ladies and gentlemen, if we use the" earth age "spacecraft to trade, I am worried about another point."

"It's a matter of folk sentiment. Our thinking is a little different from that of the people. "

"From a purely utilitarian point of view, it's really the best choice to renovate and sell it. There's no big problem."

"But the people can't control so much. I can already foresee the opposition all over the country. This Mothership has been with us for three thousand years After a long journey to the stars, we finally arrived at our destination, accompanied us to develop and have a foothold in this alien planet. "

"It turns out that after the last bit of surplus value is drained, it will be sold again? What's the difference between that and selling your old mother? "

"That's right!" Li Zhendong, an information scientist, knocked on the table and touched his chest. "I said," I always feel something's wrong. So it is! So this plan is not easy to pass! "

Zhang Yuan sneered, "sell your old mother? That's stupid No, sensibility

"What's the use of this ship when all the people move to the surface? Now it can still be used as a space elevator, but after the construction of the star port, it will not be used as a space elevator, so it will be put aside and let it be scrapped? Or an amusement park or a museum? ""It will only wither and die there!"

"Hundreds of years later, does anyone remember it?"

"At least it can bring a little sense of security," a deputy captain said. For the people, it's good to wither there People will not give up and think that it is better to leave it idle than to sell it. "

"What sense of security? If there is a war, can it take all the people on the road? We can develop special interstellar war weapons, railguns and UAVs, and we can also use this scrapped Mothership? "

Zhang Yuan found that he was a little emotional and quickly cleared his throat.

He cheerfully said: "in fact, the problem of public opinion is very simple, but I think of a slogan: rather than let our Mothership idle here and die alone, let her bear the hope of another civilization, once again..."

"Set sail!"

"To complete the glorious journey of one's own, to a civilized The journey of redemption, that's the greatest significance of her existence! "