Chapter 397: Offering the Truth to the World
August 22, 2010.
Rescuers of the San Jose copper mine mine rescue in Chile successfully drilled a rescue passage with a diameter of about 12 cm and contacted 33 trapped miners 700 meters underground for the first time.
The United States is withdrawing troops from the Middle East battlefield.
The raging floods in Pakistan have not stopped yet.
Russia's forest fires are slowly subsided.
The world has no moment to pause for anyone, and natural disasters and man-made disasters will not be stolen because of whom’s birth.
The world has its own laws of constantly rotating.
Xu Qingshan sat on the high building. Perhaps no one expected such an important mathematician, especially the young mathematician who just won the Fields Medal, would appear in such a dangerous position at this moment.
This tall building is the hotel where Xu Qingshan stays.
The specifications are very high and the decoration is luxurious. The huge glass curtain wall can reflect the bright brilliance of the sun.
It was just that when I arrived at the rooftop, maybe because it was high enough, the construction team started to cut corners when they arrived here. The fences on the hotel rooftop were poured with rough concrete.
Xu Qingshan sat by the fence, but he didn't have any dangerous moves.
It's just that he had a laptop on his hand, and a thick stack of draft paper was pressed with a folder on the other side.
He seemed to have been here for the whole day.
The sky gradually dimmed.
The venue in twilight unfolds like a quantum cloud diagram—the arc-shaped outline of the dome of the main lecture hall is in line with the non-ordinary zero-point distribution of the Riemann function on the complex plane, and the lights in the open-air tea break area are just like waves Probability density projection of function ψ in three-dimensional space.
He looked at the participants shuttled back and forth along the winding path between the lawns, and suddenly remembered that when Schrödinger established a wave dynamics model, he used to combine De Broglie's material wave hypothesis and Heisenberg matrix mechanics when he built a wave dynamics model. Fusion.
What do he need if he wants to solve the Riemann conjecture?
The Riemann conjecture, as a major conjecture at the level of world historical milestones, has been unresolved for many years.
The predecessors kept exploring where the end of the road was, but only corpses were left on the ground. Even though they were not really bloody corpses, they also ruined the ideals and love for academics of countless people.
Just like Schrödinger did, Einstein did, and he had done.
The solution to the Riemann conjecture must be to cross multiple fields before more breakthroughs can be made.
But even though Xu Qingshan was confident that he was too smart and close to the demon at this moment, his brain power had reached the peak he knew, he still could not find a real breakthrough in a short time .
Some people may think that it is a fantasy that he would like to solve the Riemann conjecture in such a short time.
But in fact, only Xu Qingshan himself knows it.
How many days and nights and intervals he has been constantly studying and thinking, and has made full preparations for his academic breakthroughs at this moment.
Academics is a thing that depends on talent and luck.
Especially mathematics.
Sometimes your inspiration can lead you to break through all known dilemmas with great momentum.
But who would care, behind your flash of inspiration, how many tortures are formed by the interweaving and confusion of sweat and confusion?
Nothing flashed out of thin air.
Only the accumulation of profound foundation brought about by continuous accumulation.
Xu Qingshan always feels that the point he has accumulated about the Riemann conjecture has reached a new level, but at the same time it has also touched a bottleneck.
He knows his personality and brain well.
The more stressed he was, the calmer he was, the faster the turbo speed in his head. He was like a supercar ready to go, constantly burning tires, waiting for a command to rush out of the platform.
In fact, Xu Qingshan has screened the research direction of the Riemann conjecture over and over again.
There are the future that other scholars have opened up, and there are new choices that he has considered himself.
About Riemann's conjecture.
He has six ways of thinking.
Mathematics and physics are inseparable. Xu Qingshan’s inspiration from Schrödinger did show his effect at this moment. He tried to introduce quantum field theory tools.
About the introduction of quantum field theory tools, he has a completely clear and practical thinking route. As long as the important properties of the Riemann ζ function are transformed into the quantum field theory framework, by constructing quantum operators and ζ functions The correspondence between zero points is used to study prime volatility using physical methods such as Feynman path integral.
The volatility of prime numbers can provide strong evidence for his verification of the Riemann conjecture, but this idea is not yet fully organized and ended his ideas and how to complete the perfect fusion. Only statistical mechanical model construction of zero-point distribution of ζ function can be achieved, and attempts to explain the "repulsive effect" of zero-point distribution through quantum entanglement theory.
Similarly, if you want to prove a conjecture, you will definitely not have few entry points to start.
The guess is like a polygonal body. No matter which side you step into, there is a track that belongs to this side.
If the proof process only requires the proof to walk every path, whether from a to b or from b to a, as long as every path of the huge maze inside has been passed, then the former and the latter will be It's correct.
If you want to promote the distribution of short intervals of prime numbers, you need to start with density estimation and Fourier analysis. There is still a great optimization for the large value estimation of the Dirichlet polynomial left by your predecessors. space.
It's just that Xu Qingshan needs to optimize and improve the fine Fourier analysis technology, and then use it to optimize the polynomials to promote a more refined location portrayal of the zero point distribution, making it possible to prove the prime theorem in a short interval , if it reaches +^0.133, it can be proved to be false, which is also a way of thinking.
Wu Baozhu, who had just won the Fields Medal with him, proved the basic lemma, and Xu Qingshan also sought proof of the geometric Langlands conjecture, whether it could truly reveal the depth of number theory and geometry. connect.
He tried to embed the Riemann ζ function into the geometric correspondence of the Langlands program, and used a self-conservative geometric model to reconstruct the zero-point distribution space.
This even more unfamiliar direction is likely to establish a bridge between prime distribution and high-dimensional manifold topological properties, providing a geometric topological proof path for the Riemann conjecture.
However, the above three points are still relatively more conventional routes. As an informatics expert who is also good at machine learning and algorithm-related, Xu Qingshan has more routes.
In the computer at his hand, he used the symmetry of Xi function and combined with the extreme value principle of the harmonic function to try to prove that there is no extreme value point in the real part near the critical line. Through numerical simulation, a new research paradigm based on complex plane dynamic systems was proposed.
This innovation in complex analysis technology, for the application of symmetry and extreme value principles, it is no less difficult to decompose the ζ function into a finite-dimensional dynamic system approximation and break through the information extraction problem of infinite integrals than Xu Qingshan went to solve Zhou's guess again.
The more sci-fi artificial intelligence route, through automatic theorem proving system formally verifies existing lemma, and then uses reinforcement learning to explore non-traditional proof paths to generate dynamic evolutionary conjectures of zero-point distribution of ζ function, which requires Better AI algorithm base and extremely large training materials.
Before solving the problem of new AI architecture, AI wants to show potential in analyzing extended singularity classification, building prime generation adversarial network model, etc., and accelerating the optimization and iteration of traditional methods can only be an outlook.
Of course, Xu Qingshan's wisdom is not limited to this.
But one person can conquer a Himalayas without any help or assistance from tools and equipment, and it cannot be achieved overnight.
He received the news that Tian Gang called him for dinner, and it couldn't disappear for too long. He packed up his things and went downstairs.
August 23, 2010.
The world is still spinning, the war is still continuing, life is still being taken away by various accidents, the ocean never stops, and the flowing clouds in the sky are flying to.
Xu Qingshan was still standing on the rooftop, and this time he stopped lowering his head.
But looking up and looking up at the sky.
What is it outside the clear blue sky.
Is the endless galaxy a lie of light and shadow, or a touchable dust?
He felt that his soul and thoughts were completely separated from the ground, as he ascended on the spot, climbing up, climbing above the clouds and under the stars.
He seemed to be overlooking the world, oh no, he was only looking down on the world of humanity. He was like the Creator, patrolling the landscaping box made up of clumsy rules.
Where is the truth?
Where is it?
Xu Qingshan's consciousness moved the clouds, and suddenly, he seemed to see the countercurrent cyclone, the meteorological scene that was difficult to fully predict.
He specially prepared water and bread.
But when he was really immersed, he did not touch the water and bread in one sip, but was like a ponder falling into a well, always looking up at the sky with his head raised.
The night falls, and dusk clouds are shrouded in it.
He was still looking at the distance.
"What is the truth under the starry sky?"
He murmured, as if he had thrown the Riemann conjecture behind his mind, and he only wanted to become an astronomer.
August 24, 2010.
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Morning.
Academician Peng Shige's 1-hour report was very successful. He was full of red faces. Xu Qingshan gave him very good advice, which made his report meet higher evaluation and recognition from industry experts. Everyone thinks that Mr. Peng is already unique. There are better prospects.
But Academician Peng was a little disappointed that he did not see Xu Qingshan in the audience.
Although he was a little disappointed, he could understand it.
After all, Xu Qingshan will make his own report in the afternoon, so he will definitely be nervous and will definitely need time to prepare. However, when he went to Tian Gang to comfort Xu Qingshan at lunch, he found that when he was having lunch, he found that Tian Gang was also looking for Xu Qingshan.
"Where did this kid go?"
Tian Gang frowned, a little anxious.
If someone didn't find this during the afternoon meeting, wouldn't it be a big job?
"Xiao Xu is not the kind of person who will joke at critical moments. Didn't he reply to your message saying it's okay, does he need time?"
Academician Peng was because Tian Gang received Xu Qingshan's reply became much more at ease.
"After eating in the afternoon, go to the guild hall to wait."
"It's okay."
The two old men had their worries and ate some casually, then ran to the main hall and took a good seat to wait.
Xu Qingshan is now very famous, and it is difficult to grab the front seat of his report meeting.
This kind of report will not be seated according to the seat arrangement on the first day. Whoever can grab the front will sit in front.
But it was 1:28 pm.
The entire main hall was full. When everyone patiently waited for Xu Qingshan to enter the hall, Xu Qingshan had not appeared yet.
Tian Gang and the others looked at each other, becoming more and more nervous.
Even the host of the organizing committee was shouting something in the backstage and was contacting Xu Qingshan.
Everyone was still sitting in the hall, and they all felt a little strange.
Where is the people of Xu Qingshan?
As time passed, the closer it was to 1:30, the more confused the people present were, and there were many discussions.
Tian Gang and the others listened to the messy sounds in the guild hall, and their foreheads were sweating coldly. Tian Gang could hardly sit still. He was worried that something would happen to Xu Qingshan.
At this time, Professor Lagunatan on the side of the platform was also a little panicked. He was about to get up and go to the stage to preside over the presidency.
But at this moment.
The side door of the guild hall that had been closed was pushed open with force.
A tall man with a little oily hair, a look of sluggishness and sloppy appearance suddenly appeared. He was holding a laptop in his arms and a stack of manuscript papers that looked very messy.
The voices of everyone in the hall came to an abrupt end.
They all saw those eyes.
Although the blood-filled eyes that can be seen from a distance from dark circles and bloodshot, those eyes have a brightness and firmness that they have never seen before.
No one spoke.
Xu Qingshan closed the door casually.
"Sorry, I'll check it out."
Xu Qingshan ran to the stage, put the things aside, connected the projection to his computer, and waved to the backstage host, asking this person to do so. The old professor, who was over 50 years old, breathed a sigh of relief.
The two whispered for a moment, and the old professor trotted back to the backstage again.
Xu Qingshan did not maintain his usual politeness and respect. At this moment, although he did nothing, everyone always felt that when he was standing on the stage and had no time to watch the crowd in the audience, it seemed that he was just like Like an arrogant king.
On the high platform, he is the king. "Everyone." Xu Qingshan got the computer ready and then raised his head.
His image at this time runs contrary to the image of a beautiful young mathematician who gave a majestic speech on the high platform a few days ago. Anyone may believe that he is Che Guevara.
It is difficult to have such a mental state if you have been a thief for a few days.
But guess is guess.
Xu Qingshan spoke, and everyone present suddenly raised their spirits.
Before Xu Qingshan said the next sentence, the old host just now came back, and there were a few young doctoral students following him. They were pushing many moving whiteboards and walking towards the center of the high platform. Come.
What is Xu Qingshan doing?
Everyone present was confused, only a few people who had a deep understanding of Xu Qingshan. At this time, they suddenly took a deep breath and became excited, with their backs straightened and their eyes firmly Staring at Xu Qingshan, he seemed to want to see everything clearly.
Xu Qingshan nodded and took over the marker. "I'm sorry, maybe after this report, I might be removed from the International Mathematics Congress for violating the rules, but fortunately they shouldn't take back the Fields Medal I've already received."
< br>Although I don’t know what Xu Qingshan wants to do, the audience still laughed.
"I do not intend to give a report according to the original topic, but invite you to watch a great performance."
"What performance?"
Xu Qingshan raised his eyebrows and suddenly laughed.
"Look at me, how to present the truth to the world!"
(The end of this chapter)