Just turned over a new leaf and became a wise and intelligent student

Chapter 397: Offering the Truth to the World

2010 8 Month 22 Day.

Rescuers at the San Jose copper mine disaster in Chile successfully drilled a rescue tunnel with a diameter of about 12 centimeters, making contact with 700 trapped miners 33 meters underground for the first time.

The United States is beginning to withdraw its troops from the battlefields in the Middle East.

The floods raging in Pakistan have not stopped yet.

Russia's forest fires are slowly dying down.

The world will never stop for anyone, and natural disasters and man-made disasters will not be lenient because of anyone's birth.

The world has its own laws of constant rotation.

Xu Qingshan sat dejectedly on the top of a tall building. Perhaps no one would have expected that such an important mathematician, especially a young mathematician who had just won the Fields Medal, would appear in such a dangerous position at this moment.

This tall building is the hotel where Xu Qingshan lives.

It has high specifications, luxurious decoration, and the huge glass curtain wall can reflect the bright light of the sun.

But when they reached the rooftop, perhaps because it was high enough, the construction team began to cut corners. The fences on the hotel rooftop were made of rough concrete.

Xu Qingshan was sitting by the fence, but he didn't do anything dangerous.

There was just a laptop next to him and a thick stack of draft paper pressed down by a folder on the other side.

He seemed to have been here all day.

The sky gradually darkened.

The conference venue in the twilight unfolds like a quantum cloud map - the curved outline of the dome of the main lecture hall coincides with the non-trivial zero distribution of the Riemann zeta function on the complex plane, and the dotted lights in the open-air tea break area are like the probability density projection of the wave function ψ in three-dimensional space.

He looked at the participants walking back and forth along the winding paths across the lawn, and suddenly remembered that when Schrödinger established his wave mechanics model, he integrated de Broglie's matter wave hypothesis with Heisenberg's matrix mechanics.

What does he need to solve the Riemann hypothesis?

The Riemann hypothesis, a major conjecture of milestone level in world history, has remained unresolved for many years.

Our predecessors kept exploring where the end of the road was, but only left behind corpses all over the ground. Even though they were not really bloody corpses, they had also destroyed countless people's ideals and love for academics.

Just like what Schrödinger did, what Einstein did, and what I once did.

The solution to the Riemann hypothesis will inevitably require the intersection of multiple fields to achieve more breakthroughs.

But even though Xu Qingshan was confident that he was smarter than a demon at this moment, and his brain power had reached the peak as far as he knew, he still couldn't find a real breakthrough in a short period of time.

Some people may think that his delusion of solving the Riemann hypothesis in such a short time is simply a fantasy.

But in fact, only Xu Qingshan himself knows.

He spent countless days and nights, and countless intervals, constantly researching and thinking, preparing for the academic breakthrough at this moment.

Academics is a matter that depends a lot on talent, but also a lot on luck.

Especially mathematics.

Sometimes a flash of inspiration can lead you to break through all known difficulties with great force.

But who would care about how much sweat and confusion are intertwined behind your flash of inspiration at this moment?
There is no sudden flash of inspiration that comes out of nowhere.

Only the continuous accumulation of profound foundation can bring about a breakthrough.

Xu Qingshan always felt that the points he had accumulated on the Riemann hypothesis had reached a new height, but at the same time he had also hit a bottleneck.

He knows his character and his brain well.

The more pressure he was under, the calmer he became and the faster the turbine in his head turned. He was like a super sports car ready to go, constantly burning tires, just waiting for the order to rush out from the platform.

In fact, Xu Qingshan has screened the research directions of the Riemann hypothesis over and over again.

Among these are paths opened up by other scholars, as well as new options he himself considered.

About the Riemann hypothesis.

He has six ideas.

Mathematics and physics are inseparable. The inspiration that Xu Qingshan got from Schrödinger really came into play at this moment. He tried to introduce quantum field theory tools.

Regarding the introduction of quantum field theory tools, he has a completely clear and practical line of thought. It is just a matter of transforming the important properties of the Riemann zeta function into the framework of quantum field theory, constructing the correspondence between quantum operators and the zeros of the zeta function, and using physical methods such as Feynman path integrals to study the volatility of prime numbers.

The volatility of prime numbers can provide strong evidence of the zero-point distribution for him to verify the Riemann hypothesis. However, as he has not yet completely sorted out his ideas and how to achieve perfect integration, he can only construct a statistical mechanics model of the zero-point distribution of the zeta function, and try to explain the "repulsion effect" of the zero-point distribution through the theory of quantum entanglement.

Similarly, if you want to prove a hypothesis, there are definitely many entry points to start with.

The conjecture is like a polygon. No matter which side you step into, there is a track unique to that side.

If the proof process only requires the prover to walk every path, whether from a to b or from b to a, as long as every path in the huge maze is walked, then the former and the latter are both correct.

If we want to improve the distribution of short prime number intervals, we need to start with density estimation and Fourier analysis. There is still a lot of room for optimization in the large value estimation of the Dirichlet polynomials left by our predecessors.

What Xu Qingshan needs to do is to optimize and improve the fine Fourier analysis technology, and then use it to optimize the polynomials to promote a more detailed location characterization of the zero point distribution, making it possible to prove the prime number theorem in a short interval, such as to +^0.133. Being able to prove a falsification is also an idea.

Wu Baozhu, who just won the Fields Medal with him, proved the fundamental lemma, and Xu Qingshan was also seeking to prove the geometric Langlands conjecture to see if it could truly reveal the deep connection between number theory and geometry.

He tried to embed the Riemann zeta function into the geometric correspondence of the Langlands program and reconstruct the zero-point distribution space using the geometric model of automorphic forms.

This even more unfamiliar direction is likely to build a bridge between the distribution of prime numbers and the topological properties of high-dimensional manifolds, providing a geometric topological proof path for the Riemann hypothesis.

However, the above three points are still relatively more conventional routes. As an informatics expert who is also good at machine learning and algorithms, Xu Qingshan has more routes.

In his computer, he used the symmetry of Xi function and the extreme value principle of harmonic function to try to prove that there is no extreme point in the real part near the critical line. Through numerical simulation, he discovered the "quasi-periodicity" of zero point distribution and proposed a new research paradigm based on complex plane dynamical systems.

This innovation in complex analysis technology, the application of symmetry and extreme value principles, and the desire to decompose the zeta function into an approximation of a finite-dimensional dynamical system and break through the problem of information extraction from infinite integrals are no less difficult than Xu Qingshan solving Zhou's conjecture again.

The more sci-fi artificial intelligence route, which formally verifies existing lemmas through an automatic theorem proving system and then uses reinforcement learning to explore non-traditional proof paths to generate a dynamic evolution conjecture about the zero-point distribution of the zeta function, requires a better AI algorithm foundation and extremely large amounts of training materials.

Before the problem of AI's new architecture is solved, it is only a prospect for AI to show its potential in the areas of singularity classification of analytical extension, construction of prime number generative adversarial network models, and acceleration of optimization iteration of traditional methods.

Of course, Xu Qingshan’s wisdom is not limited to this.

But it is impossible for one person to conquer the Himalayas in one go without any help or tools or equipment.

He received a message from Tian Gang calling him to eat, and he couldn't disappear for too long, so he packed up his things and went downstairs.

2010 8 Month 23 Day.

The world is still spinning, the war is still going on, lives are still being taken away by various accidents, the ocean has never stopped, and no one knows where the clouds in the sky will fly to.

Xu Qingshan was still standing on the rooftop, and this time he did not lower his head.

Instead, look up and gaze at the sky.

Beyond that clear blue sky, is something.

Is the boundless galaxy a lie of light and shadow, or is it touchable dust?
He felt that his soul and thoughts had completely left the ground and were flying up on the spot, climbing higher and higher, above the clouds and under the starry sky.

He seemed to be looking down on the world, oh no, he was only looking down on the human world. He seemed to be the creator, inspecting this landscape box made up of poorly made rules.

What about the truth?
where is it?

Xu Qingshan's consciousness moved the clouds, and suddenly, he seemed to see the countercurrent cyclone, the weather scene that was difficult to fully predict.

He specially prepared water and bread.

But when he was really immersed in the state, he didn't touch the water and bread at all, but like a thinker who fell into a well, he kept his head raised to look at the sky.

Night falls and evening clouds cover the sky.

He still looked into the distance.

"Under the starry sky, what is the truth?"

He murmured, and he seemed to have forgotten the Riemann hypothesis and only wanted to become an astronomer.

2010 8 Month 24 Day.

morning.

Academician Peng Shiguo's one-hour report was very successful. His face was beaming with joy. Xu Qingshan's advice to him was very good, which made his report receive higher evaluation and recognition from industry leaders. Everyone felt that Mr. Peng was unique in this field and had a better future.

But Academician Peng was somewhat disappointed that he did not see Xu Qingshan in the audience.

Although he felt a little disappointed, he could understand it.

After all, Xu Qingshan would be giving his report in the afternoon, so he would definitely be nervous and would need time to prepare. However, when he went to find Tian Gang to comfort Xu Qingshan during lunch, he found that Tian Gang was also looking for Xu Qingshan.

"Where did this kid go?"

Tian Gang frowned, a little anxious.

If we don’t find the person during the afternoon meeting, wouldn’t that be a big deal?

"Xiao Xu isn't the type to joke around at a critical moment. Didn't he reply to your message saying he was fine and that he needed some time?"

Academician Peng felt much more relieved because Tian Gang received a reply from Xu Qingshan.

"After lunch, go to the guild hall and wait."

"also."

The two old men ate a little bit with their minds on things, then ran to the main hall to take a good seat and wait.

Xu Qingshan is very famous now, and it is not easy to get a front-row seat at his lectures.

This kind of report meeting will not follow the seating arrangement of the first day. Whoever can get a seat in the front will sit in the front.

But at 1:28 in the afternoon.

The entire main hall was packed with people, and everyone was patiently waiting for Xu Qingshan to enter the hall, but Xu Qingshan had not yet appeared.

Tian Gang and the others looked at each other and became more nervous.

Even the host of the organizing committee was anxiously shouting something in the backstage, trying to contact Xu Qingshan.

Everyone in the guild hall was still sitting, and they all felt something was strange.

Where is Xu Qingshan?
As time passed and the time approached 1:30, the people present became more confused and talked a lot.

Tian Gang and the others listened to the noisy noises that were beginning to rise in the guild hall. Cold sweat streamed down their foreheads. Tian Gang could hardly sit still, as he was worried that something had happened to Xu Qingshan.

At this time, Professor Ragunathan on the side of the stage was also a little flustered. He was about to stand up and go to the stage to host the event temporarily.

But at this moment.

The side door of the guild hall, which had been closed, was pushed open forcefully.

A tall man with greasy hair and a look of listlessness and slovenliness suddenly appeared. In his arms he held a laptop and a stack of messy manuscript paper.

All the voices in the hall suddenly stopped.

They all saw those eyes.

Although the dark circles and bloodshot eyes looked a little scary, they had a brightness and determination that had never been seen before.

No one speaks.

Xu Qingshan closed the door casually.

"Sorry, I'm late."

Xu Qingshan ran onto the stage, put his things aside, connected his computer to the projector, and waved to the host backstage, making the fifty-year-old professor breathe a sigh of relief.

The two whispered for a while, and the old professor trotted back to the backstage.

Xu Qingshan did not maintain his usual politeness and respect. At this moment, although he had not done anything, everyone felt that when he was standing on the stage and had no time to look at the people below, he was like an arrogant king.

On the high platform, he is the king.

"Everyone."

Xu Qingshan finished fixing the computer and only then looked up.

His image at this moment was completely different from the image of the handsome young mathematician who gave a majestic speech on the podium a few days ago. If you said he was Che Guevara, some people might believe it.

It would be difficult to develop such a mental state unless you have been a thief for a few days.

But guesses are just guesses.

When Xu Qingshan spoke, everyone present suddenly perked up.

Before Xu Qingshan could say the next word, the old host came back, accompanied by several young doctoral students. They were pushing many mobile whiteboards towards the center of the platform.

What is Xu Qingshan going to do?
Everyone present was confused, except for a few people who had a deep understanding of Xu Qingshan. They suddenly took a deep breath, became excited, straightened their backs, and stared at Xu Qingshan, as if they wanted to see everything clearly.

Xu Qingshan nodded and took the marker.

"I'm sorry, maybe after this report, I might be expelled from the International Mathematical Congress for violating the rules, but fortunately they won't take back the Fields Medal I've already received."

Although no one knew what Xu Qingshan was trying to do, the audience still laughed in support.

“I am not going to give a lecture as originally planned, but instead invite you to watch a great performance.”

"What show?"

Xu Qingshan raised his eyebrows and suddenly laughed.

“Look at me, how I offer the truth to the world!”

(End of this chapter)