In 5 years, as both sides gradually put down their guards, the mutual visits between the top leaders of both sides have become more frequent, especially between scientists...

Scientists must always maintain a strong curiosity about the outside world. Scientists from Goer City are eager to experience life on the spacecraft and prepare for possible interstellar voyages in the future.

Of course, the Glitzers will bring in exchange for some technology belonging to their own civilization every time.

After necessary safety testing and biochemical disinfection, soon the group of Glitzers wore space suits and landed on the Earth Age again and moved into their own living areas.

This time, except for some politicians, most of the guests who came from afar were mathematicians. The main topics they talked about were some conjectures about "transcending numbers". They would live in the spacecraft for half a year.

A small pangolin came on stage and introduced a new way to judge beyond numbers.

Mathematics is always the same language of the universe. The four ancient civilizations of mankind once had no connection with each other, all of them had their own mathematical systems. As a "elegant art", civilizations that cannot enjoy the fun of mathematics are definitely ignorant and uncivilized.

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

To give a simple example, does π surpass numbers?

It can be proved that it is indeed beyond numbers.

Does the Euler constant e surpass the number?

Of course, it can also be proved!

So what about eπ?

The answer is: I don't know.

What sounds simple is a world-class problem!

Even a mathematician like Zhang Yuan cannot tell whether eπ surpasses numbers. Human mathematics has developed to this day, so it can only solve quite limited problems. Even if a computer can calculate (eπ) to tens of trillions of effective numbers, it is not much different from zero compared to infinity.

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

The thinking between different civilizations is very different, and there are ways to learn from each other's strengths and weaknesses. This kind of communication is not as simple as 11.

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

The orbit of the spacecraft with the highest accuracy requirements is only 15 or 16 decimal places. There is no big deal about whether the pi exceeds the number.

10 decimal places are enough to make the earth's perimeter accurate to within 1 inch! 30 decimal places can make the entire visible universe accurate to a quantity that cannot be distinguished by even the most powerful microscope! Therefore, the two sides will openly use this knowledge to communicate with each other. The top leaders of the new civilization do not prohibit this behavior, but instead have a faint sense of encouragement.

But why do we need to judge and solve these seemingly insignificant mathematical problems?

because……

It's there!

"...The above is our latest research, about a way of judging beyond numbers. Thank you for your listening, thank you."

There was a thunderous applause from the bottom, and the discussion was endless. The ability of the flash dance to be applauded warmly means that this speech was still very popular.

And this group of pangolins have become accustomed to human etiquette and communication methods. They wear space suits and look quite satisfied after being praised.

"Professor Anbogu, I have a little different view on your inference 314..." Zhang Yuan stood up, raised several questions, and received good answers.

After the first exchange meeting, this group of Glitzers will have more than ten days of rest, and then have a second and third exchange meetings, and humans have long been accustomed to their daily routines.

Zhang Yuan didn't want to wait for more than ten days. When the other party returned to the living area, he followed and asked: "So, Mr. Gan Yaduo, what interesting trading ideas did you think of during this visit? Why not talk about it first and let us be mentally prepared."

"As long as the demands of both parties are in line with the demands of both parties, I believe there is still a lot of room for negotiation..."

There are many things that humans lack at present. For example, smartphones can significantly improve the quality of life of ordinary people, but they are not the focus of the development of new civilizations at all.

Buying some from Glitzer Civilization is also a good choice.

There are also some high-end robot chips and high-precision components. If the Glitzer people can produce them on their behalf, then the development of human beings will be smoother and the progress will be faster in the future.

Most of what humans have paid for are entertainment products and their own technological background.

In fact, this exchange is acceptable.

This time, the other party brought a lot of goods, including more than 10,000 traditional silicon-based chips. This number is not too much compared to human needs, but it has also opened a good hole.

Scientists are examining the quality of these goods and studying compatibility issues.

Gan Yaduo turned his head, because he had not hibernated for a long time, he felt a little tired.

It said solemnly: "His Excellency Zhang Yuan, our biggest demand is that a star-level spacecraft... the rest are easy to say, just an add-on to this spacecraft."

"You also know that only motherships like Earth Age can bear the heavy responsibility of restarting a civilization without letting the entire civilization be extinct on a different planet."

"And we also need related technologies for interstellar colonization, such as space elevators, the structure of large centrifugal wheels, and the structure of ecological circulation systems...we must at least learn to repair spacecraft, right?"

This knowledge must be very expensive, and the new human civilization cannot be sold at a low price, so we can only trade it bit by bit. Including the chips brought up, it also falls into the category of transactions.

Zhang Yuan nodded and said, "Sorry, personally, I really want to make this biggest deal and create a giant mothership to help you leave this planet..."

"But limited to productivity, we cannot produce such a giant spacecraft for the time being. Even if humans develop very smoothly, it will be a matter of one or two hundred years later. We cannot promise something of hundreds of years later... This is a responsibility to both sides."

Gan Yaduo pointed at his feet: "No, no, I mean, how long will the service life of your current mothership, Earth Age?"

“Service term?”

This topic is a little sensitive, but it is not a big deal to reveal some information. Zhang Yuan said: "It depends on the specific maintenance. The main skeleton of this spacecraft is metal with high strength. If placed in space, there will be no change for thousands of years or tens of thousands of years."

"The bearings of the centrifugal wheel may be worn... and the radiation-proof layer and aerogel layer in the living area have a shorter life. The appearance is a flexible material, which is about fifty years."

"There are also some electronic devices that have a shorter lifespan. They have to be replaced in a few years..."

"So, its service life span is at least fifty years."

Therefore, if humans had developed peacefully for decades, it would have been earth-shaking changes, and humans would gradually become livable to the surface.

This original mothership will also be gradually eliminated, and it is impossible for humans to live in the spacecraft all the time. This is an inevitable event.

"So, is it possible to re-complete a Star Tour?"

“You mean…”

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

Does this guy...want the Earth Age spaceship?

Of course, it’s not now, but waiting for decades to wait until all humans move underground and eliminate this spacecraft…

The Glitzers have some patience to wait.

As if Zhang Yuan was seen, Gan Yaduo explained: "We will choose a closer planet as an immigration point, and strive to complete this interstellar trip within 500 to 1,000 years... Correspondingly, the spaceship we need must also have such a high service period."

"Buying a used spacecraft is almost our minimum requirement. I hope you can consider our requirements carefully."

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

This idea seems...it's not without feasibility!

It can even be said that...it is very feasible!

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 shocked.

Re-made a spacecraft sailing between stars may take one or two hundred years of development time for humans, consume huge productivity, and even delay the development process of other industries. So after thinking about it, I am a little reluctant.

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

However, if the Earth Age is just undergoing a large-scale renovation, the project volume and difficulty required will be much smaller, and perhaps it will only take thirty or forty years to develop!

"Made and renovation are two completely different difficulties. The skeleton of the Earth Age is complete, and it is not impossible to complete another interstellar journey if it is renovated."

Captain Zhao frowned and said, "It is definitely feasible from an economic perspective... If our population has been completely relocated in decades, it would not be an exaggeration to use it to exchange for a universal factory!"

"Age Earth was a technology from three thousand years ago after all. Now, we will definitely be able to build a better and better mothership."

Zhang Yuan also agreed: "It is equivalent to a big step for them to replace them from the new spacecraft they originally needed to a second-hand spacecraft... Let's do it, how much work is required to renovate the Earth Age and how much time can we earn?"

For a while, everyone was silent. If you want to repair it on a large scale, you must first have a large enough starry sky port to establish a repair dock.

"It is estimated that this production target will be achieved in twenty years."

But Earth Age is indeed too old. If you want to continue your next starry sky journey, you must have a comprehensive overhaul. Except for some framed skeletons that do not need to be modified, the rest of the parts, including the living area, bearings, heat dissipation area, and central control area, must be re-maintained.

One of the experts said: "...Assign a certain production line, plus an additional 80,000 people to this repair work, it is conservatively estimated that these repair work should be completed in 20 years. There are some core areas where the Glitzers have to participate in the manufacturing of computers themselves, which saves a lot of trouble."

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

Forty years, what a long time!

However, it is still very cost-effective for humans to complete this transaction for 40 years. The population at that time was less than five million, and the combined productivity of all people may not be as good as a universal factory.

"Even without this transaction, humans still have to build functional buildings such as starry sky ports and docks."

"So, at most, all you have to do is just some repair work."

By the way!

Zhang Yuan suddenly asked Professor Xiang Yamamoto, "Forty years of hard work, can we develop virtual technology, and then slowly guide and tempt the Glitze people from the other 12 cities be sent to the virtual world?"

"If we have 12 universal factories, we can ignore this troublesome business, and we can even grab it directly..."

After listening to Zhang Yuan’s proposal, he fell into silence in the conference room for a while.

Li Zhendongqing, who was sitting next door, couldn't help scratching his head with his fingers. Why did Zhang Yuan, this guy, have so many bad ideas?
To be continued...