As we all know, the n-s equation is a nonlinear partial differential equation. Its solution is very complex and extremely difficult. Before the solution ideas and mathematical processing methods are further developed and broken, it can only be solved on some very simple special case flow problems.
To obtain its special solution, even in some cases, approximate solutions can be obtained by simplifying the equations, but these approximate solutions plus the obtained special solutions only add up to more than 100.
This is due to the continuous development of computer technology, which allows the calculation amount involved in solving n-s problems to be realized using computer technology, making it simpler.
At present, no one knows how many percent of all special solutions of n-s equations these more than 100 special solutions account for.
Now Qin Ke said that through the "waterfall infinite flow loop algorithm", about 60% of the special solutions to the n-s equation can be found. This is like hitting a thousand waves with one stone, enough to shock all mathematicians and even physicists who have studied the n-s equation.
Speechless.
If the person who said this was not the famous Qin Ke who had won the Fields Medal, and Qin Ke was already recognized as an authoritative expert in the field of partial differential equations in the academic community, countless people would have stood up and retorted on the spot that it was impossible.
.
As for the "Yang-Mills existence and mass gap" problem, it is even more exaggerated. It is one of the seven major millennium mathematical problems in the world. It originated from the "Yang·Mills" first proposed by physicists Mr. Yang and Mills in 1954.
Mills Theory", the formal formulation of this problem is: prove that for any compact, simple gauge group, the "Yang-Mills equations" in four-dimensional Euclidean space have a solution that predicts the existence of a mass gap.
The predictions based on the "Yang-Mills equation" have been confirmed in high-energy experiments conducted by well-known research institutions including Brockhaven, Stanford, CERN, and Tsukuba Laboratory, but to this day, both
The "Yang-Mills equation" that describes heavy particles and is mathematically rigorous has not been able to obtain an exact mathematical solution.
In particular, no one has ever been able to give a convincing mathematical proof for the "mass gap" hypothesis that has been confirmed by most physicists and used to explain the invisibility of "quarks".
Because of its dual significance in mathematics and physics, the "Yang-Mills equation" has become a set of partial differential equations that everyone knows and is world-class in difficulty. Together with the n-s equation, it is also known as "the most difficult partial differential equation in the world."
Differential Equations".
Qin Ke actually said that the "Waterfall Infinite Flow Loop Algorithm" can also be used to solve the "Yang-Mills equation". This made even the most determined mathematicians unable to sit still. For a while, the entire venue was buzzing with discussions.
The person stood up and wanted to see clearly the mathematical formula Qin Ke wrote next...
Seeing that the situation was getting out of control, the staff rushed around to "put out fires" to calm the audience and avoid interrupting the academic report.
Japanese Professor Hirohide Hosono's face was ashen, and his fists were clenched until they turned white without even realizing it.
There was only one thought left in his mind - if the "waterfall infinite flow loop algorithm" mentioned by Qin Ke can really be used for both the special solution problem of the n-s equation and the solution problem of the "Yang-Mills equation", then this time "love"
The "Einstein Science Prize" will no longer be in suspense.
After all, the most critical issue that limits the application of the n-s equation in fluid mechanics is the solution problem. As long as the special solution of the n-s equation can be used in 60% of fluid mechanics problems (the special solution refers to the solution of the differential equation under certain initial value conditions
, it is often one or a few functions), or even an exact solution (an exact solution refers to a specific function value obtained by assigning a value to a function on the basis of finding a specific solution), which will have a huge impact on the fluid mechanics of the world.
It has far-reaching significance. Many difficult problems that hinder human scientific research will become simplified, and new technologies will emerge one after another.
The most obvious example is that airplanes will fly more steadily and faster, and the appearance design of cars while driving will also usher in optimal solutions.
As for the solution of the "Yang-Mills equation", it will have an unparalleled role in promoting the improvement of the standard model of particle physics and even the development of quantum mechanics!
Professor Hosono Hirohide subconsciously looked at Mochizuki Shinichi's student Nimura Kenji who was sitting not far away. He saw Nimura Kenji's lips pursed tightly, his eyes without any sparkle, and he looked like he was so shocked that he couldn't take care of himself.
appearance.
Professor Hosono Hirohide's heart sank, and his last glimmer of hope was extinguished in the darkness. His whole body seemed to have aged ten years again in an instant.
He no longer even expected Qin Ke to make mistakes in his report in the next 25 minutes.
With Qin Ke's reputation and status, how could he put forward such a point of view at such an important report meeting if he was not completely sure?
The fact is just as Professor Hirohide Hosono thought. Qin Ke spent the next fifteen minutes, selected several practical examples, and explained in detail how to use the "Waterfall Infinite Flow Loop Algorithm" to solve the n-s equation.
A special solution or even an exact solution under certain circumstances.
Everyone listened with fascination, especially those scientists who had been engaged in research on n-s equations for many years. They wanted to record every word Qin Ke said and read it a hundred times and a thousand times!
Because they suddenly discovered that the originally extremely difficult and complex problem of solving n-s equations had become significantly easier with the superb application of the "waterfall infinite flow loop algorithm". Even many of the originally unclear sufficient conditions had become significantly easier.
It can be deduced reversely through the "waterfall infinite flow loop algorithm", and then the corresponding special solution can be found!
This sounds a bit difficult to understand, but it would be easier to understand if you use cooking to describe it.
Originally it was very difficult to make difficult, exquisite and delicious dishes, but if there is an advanced cooking process method, it can accurately provide the best seasoning plan and heat level according to the freshness and characteristics of different ingredients, and even help improve the recipe.
, so that people can cook the ideal target dishes based on the perfected recipes?
This chapter is not finished yet, please click on the next page to continue reading the exciting content! You can imagine the value of this advanced cooking process method!
Even if it cannot achieve this effect on all ingredients, it can cover 60% of the ingredients, which is enough to make all chefs crazy!
This is the "advanced and magical process method" that Qin Ke is demonstrating to the audience and judges through the "Waterfall Infinite Flow Loop Algorithm" at this moment.
The entire venue burst into uncontrollable applause and cheers from time to time, and countless people were so excited that they sat down and stood up again.
In the last ten minutes, when Qin Ke used the "waterfall infinite flow loop algorithm" to try to solve the "Yang-Mills equation", the whole audience fell into a frenzy.
Although Qin Ke is still far away from completely solving the "Yang-Mills equation" in the end, in these ten minutes, his solution exploration through the "waterfall infinite flow loop algorithm" has exceeded the current mathematical community's "
The most outstanding results of "Yang-Mills Equation" and pointed out a feasible new direction for solving the "Yang-Mills Equation"!
Its significance is no less than when Qin Ke pointed out through his paper that constructing several sets of expressions using the construction method is the only way to prove the Riemann Hypothesis - and this has been personally proven by Qin Ke to be the most correct direction!
At the end of the report, Qin Ke bowed slightly to the audience again: "Thank you everyone for listening. These results were researched by my wife Ning Qingyun and I. You are welcome to have friendly exchanges in the next question and answer session!"
His response was overwhelming and enthusiastic applause!
Professor Wiles, who was sitting in the front row, applauded and said with a smile: "I think Qin Ke's special report this time is a bit overkill. It is enough to compete for the Fields Medal for the second time, let alone
To compete for a mere 'Einstein Science Prize'."
"It's a pity that the Fields Medal is never awarded to anyone twice." Professor Deligne looked at Qin Ke who was talking eloquently on the stage and sighed:
"No matter what, it's a worthwhile trip to hear this report. Xia Guo's Miracle Boy will always surprise people! I think this 'Waterfall Infinite Flow Loop Algorithm' will soon become popular all over the world and become a
It is the most mainstream mathematical treatment method for studying partial differential equations in the world. Its only disadvantage is that it is too difficult. If you don’t spend two or three years studying it in depth, it is impossible to master it.”
But Professor Lyndon Strausch next to him smiled and said: "Professor Wiles, Edward may not like to hear your statement of 'just an Einstein Science Prize'. He has also won this prize."
Edward Witten did not feel dissatisfied: "I will not comment on the Einstein Science Prize, but judging from the content of Qin Ke's report in the last ten minutes, his research on the 'Yang-Mills equation' has exceeded the world's
Most mathematicians have never heard of him investing research energy in this area before."
Professor Witten has profound physical intuition and superb mathematical ability. In the field of physics, in addition to supersymmetry and Morse theory, topological quantum field theory, superstring compactification, supersymmetric gauge field theory and other fields, he is very important to Yang-Mills.
Theoretical research is also extremely in-depth.
Wiles laughed: "There is a proverb in the Xia Dynasty that 'one reason can lead to a hundred things'. Qin Ke's level in partial differential equations and number theory is obvious to all, and it is not surprising that he has studied the 'Yang-Mills equation'
, I heard that he is still studying the Hodge conjecture, and I am now looking forward to him eventually solving several millennium mathematical problems. Professor Tao, you are most familiar with Qin Ke and are also proficient in probability and statistics. Can you guess the specific numbers?
"
Professor Tao Zhexuan smiled and shook his head: "Your question is a bit difficult. No one can estimate Qin Ke's potential, but if anyone can completely crack the mystery of the n-s equation, it must be Qin Ke and his wife Ning Qingyun.
Professor Faltings, what do you think?"
Only then did Faltings hide the exclamation and admiration in his eyes, and a smile appeared on his usually serious face: "I'm not good at partial differential equations and can't answer your question, but judging from his performance
Look, within this year, you will be able to see the answer to the n-s equation."
In the next question and answer session, the atmosphere in the audience became even more lively. People kept raising their hands to ask questions, but the tone of these questioners was extremely sincere. They were more like asking for advice than asking questions. Qin Ke answered almost instantly, concisely and concisely.
Answered all questions.
During the entire 15-minute question and answer session, no one could stand up to criticize or raise questions, including the one who said aggressively before the meeting that he had mastered the loopholes in the paper "Proving that there are smooth solutions to n-s equations in three-dimensional space".
Kenji Nimura stood up and pointed out his mistake, but he was just so shocked that he sat on his seat with his head down in dejection, not moving at all.
The endless applause that resounded throughout the audience had just stopped, and the impatient media had already issued a text message excitedly:
"The Times Science Herald": "In the one-hour academic report that just ended, Academician Qin Ke, a scientist from Xia State, won the warmest applause from the audience in recent days with his impeccable performance!"
"Journal of European Studies": "The 'Waterfall Infinite Flow Loop Algorithm' is a technique that astonishes everyone. Once this method was developed, there is no rival in the field of partial differential equations in the world!"
"Royal Swedish Academy of Sciences": "The foreign academician Qin Ke of the Royal Academy of Sciences of my country was interrupted by 32 rounds of applause in his morning report, but it did not affect academician Qin Ke's performance at all. Academician Qin Ke made witty remarks and solved the n-s equation The study of the 'Yang-Mills equation' has been pushed to a new height! History will remember his great contribution to the world of mathematics and physics! The six-minute long over-limit applause after the meeting also broke all academic exchange conferences in our country. record of applause!"
…
The shock that Qin Ke brought to the entire conference did not dissipate for a long time, and therefore he successfully created a head start momentum, making Ning Qingyun's subsequent report also overwhelming and unstoppable.
After high-fiving Qin Ke, the girl with a single ponytail stepped onto the reporting stage.
Almost none of the mathematicians who could have left the meeting did so, and the large conference room remained packed.
Ning Qingyun took a deep breath and started his first on-site report on the international physics stage: "Hello everyone, I am Ning Qingyun from Qingmu University in Xiaguo. The report I bring to you is-'Green Lemon Topology
Superconducting vortex state theoretical model system'."
The one-hour report was compact and not tense. Ning Qingyun, who had rehearsed for more than a dozen times, faced Qin Ke's encouraging eyes, with a girl's unique beautiful voice and a pure and beautiful image, showing off the female scientists of Xia State
The best side.
She explained in detail the characteristics and advantages of the "Ling Ning topological superconducting vortex state theoretical model system", and also described in depth some of the "Majorana fermion carrier-Ling Ning superconductivity" that were not mentioned in the original paper.
Details of "Material No. 1".
Her strict and self-consistent logic, clear and mature expressions, progressive structure, well-detailed data, and the girl's slightly shy but not stage-frightened performance made her entire report gripping, even for the mathematicians present.
Everyone listened with great interest, and there were countless physicists who marveled at it.
This is the first time that the "Ling Ning Topological Superconducting Vortex State Theoretical Model System" that shocked the world has officially appeared on an international forum.
In the past two or three months, Ning Qingyun has given detailed answers to the doubts and incomprehensions raised by many scholars on the Internet in this report, and also discussed the challenges that quantum topological calculation will bring to the future of quantum computers.
The impact of change, like the spring breeze moistening things, is quietly integrated into the details of the report, quietly demonstrating the academic value of the report.
In the question and answer session, Ning Qingyun still performed outstandingly. Facing the questions from outstanding physicists and materials scientists from all over the world, she remained calm and answered fluently, demonstrating her solid foundation in topological quantum computing theory and quantum superconducting materials.
Profound knowledge and quick thinking.
At the end of the report, Ning Qingyun bowed gracefully and said as Qin Ke said before: "Thank you everyone for listening. Although these results were reported by me, they were actually studied by me and my husband Qin Ke.
I’m happy to have friendly exchanges with everyone!”
The endless applause after the meeting was almost comparable to Qin Ke's report, indicating that Ning Qingyun's report was also a great success.
Professor Hirohide Hosono from Japan was the last one to give a report in the morning, but his performance was obviously out of standard. He made several mistakes and omissions that even laymen could not bear to look at. Although he corrected them quickly, he still failed to do so.
It made people see his negative emotions as he lost all his energy and confidence.
The result is obvious. After the meeting, the audience only gave polite and sparse applause, making the originally outstanding academic results only achieve a third-rate report effect.
Professor Hirohide Hosono left Stockholm that night with his student Mitsuhiro Tamura in despair and flew back to Japan.
It is said that the old professor got very drunk after returning to China, and he looked like a 70-year-old garrulous old man. He talked incoherently to everyone he met: "No matter what happens in the future, you must avoid Qin Ke and Ning."
Qingyun...those are two terrifying beings that cannot be surpassed..."
Not only Professor Hirohide Hosono, but also a dozen candidates left in a hurry that night without waiting for the final selection results.
Chapter completed!