Chapter 387 Methods of Unifying Quantum Mechanics and Relativity

Asymptotic freedom is an important property discovered in the strong interaction over the past decades.

At the same time, it will be of great help to physicists to further understand the strong interaction force.

Of course, this thing has already been discovered. If Lin Xiao continues to study it, it will definitely be meaningless. After all, he has already considered it in the process of studying the Yang-Mills gauge field.

However, at this moment, Witten's reminder brought another inspiration to Lin Xiao.

Because, at this moment, the direction he wanted to research has become the unified theory of relativity and quantum mechanics.

“So, as you said, it is difficult to truly achieve the unification of the two, but this does not prevent us from starting from the direction of progressive freedom.”

"Yes." Witten nodded and said: "Quantum mechanics and relativity are not contradictory in many aspects, but this does not mean that they can tolerate each other. The key to unifying them lies in gravity."

"And since we want to unify the four basic forces as set out in our goal, then we might as well assume that the four basic forces are unified. Although we don't know this form, we can still based on this Extend the framework to explore the mysteries between them, and maybe you can find some clues.”

"Yes."

Lin Xiao nodded in agreement, and he was sure of the next research direction. Then he couldn't help but smile and said: "It seems that inviting you here is a very correct decision. I have already prepared what I want to do next." With full confidence.”

"Haha." Witten smiled heartily, and then said: "Of course, your problem belongs to you, and my problem belongs to me. Do you have any other ideas about strings?"

"certainly."

Lin Xiao nodded.

There is back and forth, and since Witten has brought him help, he naturally needs to bring some help to Witten's problems.

Of course, he has actually thought about Witten's issues these days.

In the process of studying diffraction, he had already clarified the existence of strings indirectly through mathematical demonstrations and subsequent experimental phenomena.

For Witten, clarifying the existence of strings is the thing he hopes to see most.

After all, M theory, or the entire string theory, was developed based on the existence of strings. However, so far, no experiments can directly or indirectly prove the existence of strings, and there is no idea of ​​any experiments in the future. Be able to make this clear.

Because it would require a collider with very huge collision energy to accomplish this feat, which is larger than the Earth. This is obviously unrealistic.

For Lin Xiao, being able to find traces of strings in diffraction is mainly based on the properties of light, or electromagnetic waves.

But it's still the same. How he found the string method in the first place obviously cannot be told to Witten. The role of the wave coherence superposition equations has become more and more important in national defense and has become a national secret theory, so anything that may lead to Any leakage or inference by others is not allowed.

Of course, Lin Xiao already had some ideas on how to avoid the confidential content and find another way to prove the existence of strings.

So he then told Witten this method.

"Starting from photons in the interaction of electromagnetic forces?"

After hearing the advice given by Lin Xiao, Witten was stunned.

"Yes." Lin Xiao nodded and said: "Since we can't start from actual experiments, then we start from these basic particles composed of strings. I always believe that many phenomena in the microscopic world should have strings. The role of strings is involved, and as long as we eliminate these things and find things that may have the characteristics of strings, perhaps we can find the existence of strings.”

Just like the process when he discovered the existence of strings, it was based on this method. He found some clues about strings in the diffraction of waves, and then clarified the existence of strings.

"Get rid of those things in it?" Witten began to think thoughtfully, and said after a while: "Is it like your 'mathematical vaccine'?"

Lin Xiao was stunned for a moment, then nodded with a smile and said, "Yes, at least formally speaking, the relationship between the two is very similar."

Mathematical vaccine is a mathematical method he created at CERN to eliminate errors caused by noise in experimental data. It is quite similar to the method he said.

Witten nodded. He was at CERN with Lin Xiao and witnessed how Lin Xiao used this mathematical vaccine to find proof of the existence of artificial black holes in the data.

Then he smiled and said: "Speaking of which, I didn't think of your mathematical vaccine at the time, but looking at it now, it feels like a P=NP problem."

"P=NP?"

Lin Xiao was stunned for a moment, then nodded, that was indeed the case.

How to understand what the P=NP problem is about is like understanding a tongue twister. But to put it simply, you only need to know that the entire cryptography is based on the assumption that P is not equal to NP. Once it is proved With P=NP, cryptography will collapse, because with P=NP, all passwords can be easily cracked within a certain period of time.

Lin Xiao's mathematical vaccine is very similar to this.

However, Witten's seemingly off-topic teasing gave Lin Xiao some extra thoughts.

P=NP problem?

Seeing Lin Xiao suddenly thinking again, Witten smiled slightly. This was the case for geniuses. Someone else's accidental words might bring a seemingly unintentional suggestion to the genius.

He used to be such a genius, and now, Lin Xiao also showed this enviable talent in front of him.

So then, he waved his hand and said: "Okay, it seems that Professor Lin, you have gained some extra gains. Of course, I have also gained some gains. So, let's do this for now. I have to go back and start my research. ."

Lin Xiao came to his senses, and then smiled and said: "Okay, then I hope you can spend a pleasant time here."

"Of course, thank you. Let's talk about it later when I have an idea." Witten nodded and said, "Of course, if you have something you want to discuss, you can come to me."

"Okay." Lin Xiao nodded, and then the two said goodbye to each other, leaving Lin Xiao standing alone and thinking.

There are actually some similarities between the inspiration given to him by Witten and the current P=NP problem, but the latter is closer to the essence.

so……,

"Perhaps we can actually combine and think together?"

"Well..." Lin Xiao lowered his head and pondered for a moment, then his eyes lit up slightly.

He knew what he had to do.

"P=NP, that's a really good question."

Shaking his head slightly, he left here.

Although the P=NP problem was mentioned, this does not mean that he has to solve this problem again.

If he really proves the P=NP problem, he doesn't need to think about solving the so-called existence of the Yang-Mills gauge field and the mass gap problem. He can directly design the program and find a more powerful supercomputer. , maybe after a while, this problem will be solved directly, and there will be no need for him to waste time here.

Let alone this problem, even the Riemann Hypothesis and the BSD Hypothesis can all be solved directly, making the so-called Millennium Prize problem a thing of the past.

Of course, although this is not possible, he can use common sense to develop a method similar to the P=NP form specifically for his problem, just like his 'mathematical vaccine' root search method, just like This special version of the P=NP form for particle collider data.

Then, he can easily find the answer that perfectly integrates quantum mechanics and relativity.

As for how to develop this special version of P=NP form...

A storm of thoughts began to arise in Lin Xiao's mind.

And perhaps it was the experience brought by studying the root search method that gave him an idea quickly.

"Right, that is it."

When he raised his head, his eyes lit up.

Then, he quickly ran back to his office and began to follow his ideas.

…

Time flies, and four weeks pass quickly.

"Huh~ It's finally done. It looks like it's basically right. This is it."

When Lin Xiao raised his head and stopped the pen in his hand, a piece of papyrus filled with various symbols appeared on his desk.

If you show it to someone who doesn't understand mathematics, they will definitely think that this thing is a ghost drawing charm.

But Lin Xiao's heart was filled with joy at this time.

This thing is his special version of P=NP, which is designed to solve the problem of unifying quantum mechanics and relativity.

Counting this last page, it took him fifty pages to complete this method.

Of course, the next important step is to input these contents into the computer and turn them into programs to run.

After all, since P=NP, of course a computer is needed to verify it, and without the help of a computer, it is obviously not possible to rely solely on personal calculations.

As for how to convert these mathematical formulas into computers...

"Uh... it's better to find someone."

It was a full fifty pages. If it were written as a program, God knows how many lines of code it would take to run it, so he chose to find labor.

Fortunately, there is still such a labor force in their research institute.

So he found four intern researchers from the institute who were very good at writing programs, and then gave them this task.

The four intern researchers were quite excited about the task assigned to them by Lin Xiao, and they agreed directly without any dissatisfaction.

Then they spent three days converting all the mathematical processes of the fifty-page paper into a computer program.

Next, Lin Xiao can start running these programs to verify the conditions under which quantum mechanics and relativity can be unified, or in other words, they cannot be unified at all.