Great Country Academician

While Brian Howard was gritting his teeth and trying to find flaws in the paper, an announcement from the Institute for Advanced Study in Princeton once again poured hot oil on this hot topic.

"In response to the general solution in the paper "The Existence and Proof of the Solution to the Yang-Mills Equation" published by the famous scholar Professor Xu Chuan on the arxiv preprint website, the Institute for Advanced Study in Princeton has verified this solution through a supercomputer."

"The result is verified correct!"

An announcement instantly caused a new wave of sensation in the entire mathematics and physics circles.

For the mathematical community, the Yang-Mills equation is an important differential equation, referring to the Euler-Lagrange equation determined by the Yang-Mills action.

It is also called Yang-Mills theory, which is a gauge theory based on the SU gauge field theory group, and more generally, a compact, semi-simple Lie group.

As for differential equations, once the general solution is known, it can be verified by supercomputers.

In fact, the Institute for Advanced Study in Princeton is not alone in doing this.

After Xu Chuan uploaded the paper to arxiv, famous academic research institutions such as the Supercomputing Center of Nanjing University, the Supercomputing Center of the Chinese Academy of Sciences, and the Ecole Normale de Paris in France almost unanimously verified the general solution in the paper.

However, due to mathematical calculation algorithms and supercomputing performance, these supercomputing centers lag far behind Princeton.

However, not long after the Institute for Advanced Study released the results, these research institutions also announced their own calculation results.

Not surprisingly, all the calculations published by research institutions are generally correct!

And these news, not surprisingly, added fuel and heat to the discussion at the International Mathematical Physics Forum. Then

[Announcement from Princeton! The results of Professor Xu’s general explanation of the paper are verified to be correct! 】

【incredible! Does this mean there is no problem with the paper? 】

[It can be said that the Yang-Mills equation itself is a partial differential equation that is extremely difficult to solve. The result is correct, which means that there must be nothing wrong with his calculation process. 】

[Hiss~, this is already the third millennium problem he has solved, right? Is it possible that he really wants to kill them all by himself? This is too scary. 】

[Not counting the third one, it’s only half, and the quality gap has not yet been resolved. 】

[Come on, come on, the market is open. Let’s take a guess at how long it will take to resolve the remaining quality gap. 】

【Three months? 】

[Three months is too exaggerated, at least a year, right? These are the seven millennium problems. 】

[Let’s make a bet, I think he might publish a paper proving the mass gap at this year’s International Mathematics Congress! 】

【impossible! This is too short, only two months left. 】

[Nothing is impossible, especially for him, just wait and see. 】

After the Institute for Advanced Study in Princeton announced the calculation results of the Supercomputing Center, there was a lot of discussion in the international mathematical physics forum.

The calculation of the general solution is correct, which undoubtedly brings a new wave of enthusiasm to this matter.

For differential equations such as the Yang-Mills equation, the correct general solution basically explains everything.

Along with the news from the Institute for Advanced Study in Princeton, the answer was quickly delivered to all parts of the world, including China and the University of Oxford.

Seeing the news that the supercomputing center had verified that the general solution was correct, Brian Howard's student asked weakly: "Professor, are we still going to attend the exchange meeting now?"

Behind the desk, Brian Howard, who was researching and trying to find loopholes in the paper, turned pale and turned purple after seeing this announcement, as if he had been slapped by Tyson.

The correct calculation of the general solution means that he has lost and it is almost impossible to find loopholes in the paper.

The announcement from the Institute for Advanced Study in Princeton was like a slap on his face, so hard that his face was swollen.

Although judging from the past, this is inevitable.

But no one expected that this slap in the face would be responded to so quickly.

After all, normally, the formal demonstration of this century-old problem basically has to wait until the report meeting is held and the peer review is passed.

But the Yang-Mills equation is different. As a partial differential equation, the existence of a general solution is basically the result pursued by the mathematical community.

What I have to say is that when most mathematicians solve equations, especially this kind of world-class conjecture equation, they generally only care about three issues.

Existence, uniqueness, smoothness and initial value stability of the solution.

Of course, it's not that mathematicians don't care about exact solutions. Only relatively speaking, they are not concerned with exact solutions that do not have much generality for understanding the properties of equations.

Just like the NS equation, as long as it was determined that the solution to the NS equation exists and is smooth, this famous millennium problem was solved.

Those who are more concerned about exact solutions are often the physics community.

For example, the Yang-Mills existence and quality gap.

Prior to this, physicists had verified this problem countless times through supercomputers and various physical experiments, and determined the existence of the mass gap.

Unfortunately, how to describe this process and results through mathematical language has always been an unresolved problem.

After all, for physics, factual existence and theoretical existence are two completely different states.

Sometimes physicists even create things out of thin air that don't actually exist to fill in the logic.

Of course, it is theoretically necessary to create a logical substance for verification.

Just like the mass of electrons, the initial electrons had no mass, but later experiments discovered the existence of the mass of electrons, and the electron mass theory was developed. To explain, the Higgs boson and the Higgs were later field.

That is: when electrons move in the Higgs field, they will collide with the Higgs boson. The result of the collision is to gain mass while reducing the speed.

These things are also related to the existence and solution proof of the Yang-Mills equation.

When it is determined that the solution to the Yang-Mills equation exists but the general solution has been found, the strong interaction force can be mathematically unified with the weak interaction force and the electromagnetic interaction force.

The grand unified theory is the crown of contemporary physics.

Who dares to say it has no value?

Even if he looks down on China's basic scientific research, he cannot say that the paper "The Existence and Proof of the Solution to the Yang-Mills Equation" has no value.

No matter how much he dares to argue that string theory has no value, he doesn't dare to argue that "Star Wars" is trash.

After all, he is a physicist.

Just give up like this?

Thinking about it, Brian's face turned red and turned black, but he was helpless.

At this moment, the office door was suddenly pushed open.

The visitor is a representative of the Board of Supervisors of Oxford University.

"Professor Brian, you are suspected of corruption and bribery and violating school regulations. You have made false statements to the outside world without authorization, which has had a significant impact on the reputation of the school. Please come with us and cooperate with the investigation!"

An investigation report was held in the hands of the supervisory committee and faced Brian Howard.

Looking at the documents in front of him, Brian's face suddenly turned even darker, as if he had eaten a dead cockroach.

This time, he may have really hit the wall, and may even lose his job.

PS: More updates, there will be another chapter tonight, please vote for me!