Over the past five years, with the gradual lowering of the alert of both sides, the mutual visits of senior leaders of both sides have become more frequent, especially the visits between scientists

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

Of course, Gliese people will bring some technology belonging to their own civilization in exchange every time.

After necessary safety testing and biochemical disinfection, soon, the Gliese dressed in spacesuits landed on the earth time again and lived in their own living area.

Most of the guests from afar this time, except some politicians, are mathematicians. The main topic of discussion is some conjectures about "transcendental number". They will live in the spacecraft for half a year.

A small pangolin came to the stage and introduced a new method to judge the transcendence number.

Mathematics is always the common language in the universe. The four ancient civilizations of mankind have all given birth to their own mathematical system without connection with each other. As an "elegant art", a civilization that cannot 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 transcendental?

It can be proved that it is indeed transcendental.

Is Euler constant e transcendental?

Of course, it can also be proved!

What about e + π?

The answer is: I don't know.

It sounds like a simple problem, but it is a world-class problem!

Even Zhang Yuan, a master of mathematics, has no way to judge whether e + π is beyond numbers. Up to now, human mathematics can only solve very limited problems. Even if the computer can calculate (E + π) to thousands of trillions of significant digits, it is not much different from zero compared with infinity.

The exchange of civilization and civilization can indeed promote the development of these disciplines.

There are great differences in thinking between different civilizations, and there are places to learn from each other. This kind of communication is not as simple as 1 + 1.

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

For the orbit of the spacecraft with the highest accuracy requirements, the PI accuracy is 15 or 16 decimal places. It doesn't matter whether the PI exceeds the number or not.

Ten decimals is enough to make the earth's perimeter accurate to within an inch! 30 decimal places can make the whole visible universe accurate to a quantity that even the most powerful microscope can't distinguish! Therefore, the two sides will exchange these knowledge with each other in a big way. The high level of the new civilization does not prohibit this behavior, but implicitly encourages it.

But why judge and solve these seemingly insignificant mathematical problems?

Because

It's right there!

"... the above is our latest research on a way of judging transcendental numbers. Thank you for your listening. Thank you."

There was a thunderous applause and an endless stream of discussions. Being able to receive warm applause shows that this speech is still very popular.

This group of pangolins have also been used to human etiquette and communication. They wear spacesuits and look quite satisfied after being praised.

"Professor anbogu, I have a different view on your inference 3.1.4..." Zhang Yuan stood up and raised several doubts, all of which received good answers.

After the first exchange meeting, these Gliese will have a rest time of more than ten days, and then hold the second and third exchange meetings. Mankind has 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 think of 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. For example, smart phones can significantly improve the quality of life of ordinary people, but they are not the focus of the development of new civilization at all.

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

There are also some high-end robot chips and high-precision parts. If the greezer people can produce them on their behalf, the next human development will be more smooth and the progress will be faster.

Most of what human beings pay is entertainment products and their own scientific and technological heritage.

In fact, this exchange is acceptable.

This time, the other party brought a lot of goods, including more than 10000 traditional silicon-based chips. This number is not much compared with human needs, but it also opened a good hole.

Scientists are testing the quality of these goods and studying compatibility.

Ganyaduo turned his head and felt a little tired because he had not slept for a long time.

It solemnly said: "Your Excellency Zhang Yuan, our biggest appeal is a star class spacecraft... Everything else is easy to say, just an addition to this spacecraft."

"You also know that only a mothership such as the earth times can bear the heavy responsibility of restarting a civilization without letting the whole civilization die out on a different planet."

"Moreover, we also need the relevant technologies of interstellar colonization, such as space elevator, the structure of large centrifugal wheel and the structure of ecological cycle system... At least we have to learn to repair the spacecraft?"

This knowledge must be very expensive. New human civilization can't be sold at a low price, so we can only trade it bit by bit. Including those brought up chips also belong to the category of trading.

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

"But limited to productivity, we can't produce such a giant spacecraft for the time being. Even if mankind develops very smoothly, it will be one or two hundred years later. We can't promise what will happen hundreds of years later... It's responsible to both sides. "

Ganyaduo pointed at his feet: "no, no, no, I mean, how long will your current Mothership, earth time, be in service?"

"Term of service?"

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

"There may be some wear and tear in the bearing of the centrifugal wheel, and the radiation protection layer and gas gel layer in the living area will have a shorter life expectancy. The appearance is a flexible material, almost 50 years. "

"There are some electronic equipment with shorter service life. They have to be replaced in a few years or decades..."

"Therefore, its service life is 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.

The original mother ship will also be gradually eliminated. It is inevitable that human beings cannot live in the ship all the time.

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

"You mean..."

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

Does this guy... Want the earth age spacecraft?

Of course, not now, but after waiting for so many decades, after all humans move underground and eliminate this spacecraft

Gliese have patience to wait.

Seeing Zhang Yuan's doubts, ganyaduo explained, "we will choose a closer planet as an immigration point and strive to complete this interstellar journey within 500 to 1000 years... Accordingly, the spacecraft we need must have such a high service life."

"Buying a second-hand spaceship is almost our minimum demand. I hope you can give good consideration to our requirements."

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

This idea seems... Not without feasibility!

It can even be said that... Is very feasible!

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

"What?"

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

Remanufacturing a spaceship sailing between stars may take one or two hundred years of human development time, consume huge productivity, and even delay the development process of other industries. So think about it, a little reluctant.

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

However, if only the earth times is renovated on a large scale, the required quantities and difficulties will be much smaller. Perhaps it will only take 30 or 40 years of development!

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

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

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

Zhang Yuan also agreed: "it's equivalent to them taking a big step back from the new spaceship they originally needed to be replaced by a second-hand spaceship... Let's calculate. How much work will it take to completely renovate the earth times and how much time can we earn?"

For a moment and a half, everyone was silent. If you want large-scale maintenance, you must first have a large enough star port and build a repair dock.

"It is estimated that this production target can be achieved in 20 years."

But the earth age is really too old. If you want to continue your next trip to the stars, you must overhaul it. Except that some frame skeletons do not need to be modified, the rest, including living area, bearing, heat dissipation area and central control area, must be repaired again.

One of the experts said: "... Allocate a certain production line and add 80000 people to this repair work. It is conservatively estimated that these repairs should be completed in 20 years. There are computers in some core areas. The deglizers themselves participate in the manufacturing, which saves a lot of trouble. "

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

Forty years, what a long number!

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

"Even without this deal, humans still have to build functional buildings such as star harbor and dock."

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

by the way!

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

"If there are 12 universal factories, we can not do the troublesome business of this one, and we can even grab it directly..."

After listening to Zhang Yuan's proposal, the conference room was once silent.

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

He Li Zhendong still needs to be shameless... A few minutes ago he was holding a very friendly math meeting, and then he secretly discussed to rob others. This is really difficult to do.

No, more to say, the whole human civilization is shameful!

It doesn't have much psychological burden to send those drunken guys into the virtual space, but now... Goer city is the last hope of this civilization!

"Well, it's my fault..." after calculation, Zhang Yuan rejected the plan.

"Although this plan will bring short-term benefits, in the long run, plundering will make people's ideology produce unfriendly deviation, and it is not conducive to the ruling philosophy 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 insatiable greed is always a sin.

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

"You know, the work, rest and life cycle of Gliese are different from ours. We think forty years is a long time, but they don't think so at all. Forty years is similar to our four years, and 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 almost..."

Zhang Yuan agreed with this view: "well, that is, time is not allowed at all... Then in 40 years, it's good to try to win the most accessible universal factory and leave a fire for Gliese civilization. Ah, that's it. This troubled civilization. "

People were inexplicably relieved and began to discuss the next construction rectification.

After thinking for a while, Captain Zhao thought of something again, smiled bitterly and said, "everyone, if you use the 'earth times' spacecraft to trade, I'm worried about another point."

"That is, the problem of folk emotions. The thinking of our group of people is always a little different from that of ordinary people. "

"From the perspective of pure utilitarianism, renovating and selling it is indeed the best choice. There is no big problem."

"But the people can't control so much. I can already expect this kind of opposition everywhere. This Mothership has accompanied us for 3000 years... The long road of stars has finally reached our destination, accompanied us to develop, and has a foothold on this strange planet. "

"After draining the last remaining value, you have to sell it again? What's the difference between this and selling your old mother? "

"You're right!" Information scientist Li Zhendong knocked on the table and touched his chest. "I said, I always feel something wrong. It turned out to be so! So this plan is not easy to pass! "

Zhang Yuan sneered, "sell your old mother? That's stupid... No, emotional! "

"Then you say, what's the use of this ship when all the people move to the surface? Now it can be used as a space elevator, but after the construction of XingKong port, it won't be used as a space elevator. Just put it aside and let it be scrapped? Or as an amusement park or museum? "

"It will only wither and die there!"

"Hundreds of years later, does anyone remember its existence?"

A vice captain interposed, "at least it can bring a little sense of security. For the people, it's good to put it there to wither... People will not give up, and they will think that even if it is left idle, it's better than selling it. "

"What sense of security? If there is a war, can it run away with everyone? We can develop special interstellar war weapons, railguns and UAVs, and use this scrapped Mothership?! "

Zhang Yuan found himself a little excited and quickly cleared his throat.

He said excitedly: "in fact, the problem of public opinion is very simple. I thought of a slogan: instead of leaving our mother ship idle here and dying alone, let her carry the hope of another civilization and once again..."

"Set sail!"

"Completing her own glorious journey and the journey of... Redemption for a civilization is the greatest significance of her existence!"