Chapter 192 Inspiration Always Comes Unexpectedly

After a while, Lu Zhou typed a line and asked.

[What if you can't find it? 】

The old man typed very fast, and he replied to his question within five minutes.

[The possibility you mentioned certainly exists. If we can’t find what we need at the energy scale below TeV, we can only declare the bankruptcy of the minimum supersymmetric standard model, and then go to a higher energy range to find what we are looking for. s things. Proving our previous work is wrong, this is also an important discovery, although it is not necessarily what we want to see... But I think you can actually have more confidence in our theory, the New World is just around the corner, I even smell the fragrance of spices. 】

In the end, the old man even joked with him in a relaxed tone.

However, Lu Zhou was not so optimistic and couldn't laugh at all.

It may be because he has not experienced the feeling of studying in the maze of the quantum world for decades, so he has not cultivated the humor that a theoretical physicist must possess when facing unsolved mysteries Spirit.

If he can't figure out a problem, it doesn't make him depressed.

But if a research has no end in sight and no future, it is difficult for him not to feel irritable.

Yes, this subject brought him this feeling.

Even if there is a Nobel laureate in the team, it is impossible to draw a reliable path for him with an affirmative tone. There are countless ways in front of them, and what they can do is to compare the size of the possibility.

Unlike those math problems he studied, what is wrong is wrong, and what is right is right. Reviewing manuscripts may take time, but it will definitely bring an end to his efforts in the end.

What makes Lu Zhou feel irritated is not only the predicament of the subject he is engaged in, but also the predicament of the entire theoretical physics community.

The development of theory is far out of touch with experiments, and the construction of this building is not even rigorous experimental data, but things that have not been tested by experiments, or even cannot be tested in decades.

Put forward conjectures based on proven theories and limited phenomena, and then use countless conjectures to construct a model. The "Standard Model" that theoretical physics relies on is probably such an "unreliable" thing.

The supersymmetric wheel was proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory a few years ago. The theoretical physics community hastily announced that it has entered the "post-Standard Model" era. Before two years of excitement, Daya Bay A neutrino oscillates, and almost duang makes the standard model overturned and restarted.

Lu Zhou can understand why Mr. Frank is so obsessed with the theory of supersymmetry, and why he is so eager to find supersymmetric particles.

This obsession is definitely not because of something so superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...

If these things happen, there will be many people who will ask them a heart-warming question - "What have you been doing for half a century?"

If only theoretical physics was like news.

Discovered this today, overturned that tomorrow, hammered this again the day after tomorrow, every day is a new page...

But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their own words when describing a novel concept publicly.

Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.

Both theories have the possibility of being established, but the conclusions they draw are quite different. If he has conclusive evidence to refute the other's theory, he will definitely show it without hesitation and persuade Mr. Frank, but Too bad he didn't.

We can only wait for the experiment to check.

After hesitating for a while, Lu Zhou finally moved his hands on the keyboard and typed a line.

Click, send.

[Maybe you are right, but I am more inclined to think that what we discovered is not a new continent, but Iceland. 】

On the other side of the Pacific Ocean, sitting in the co-pilot seat, Professor Frank, who was waiting for a reply, suddenly burst out laughing, startling the doctoral student who was driving next to him.

Quickly slowing down the car, the doctoral student glanced at the computer and asked, "What's wrong?"

"It's nothing." Old Mr. Frank shook his head, closed the lid of the notebook, and said with a smile, "The Chinese boy I told you about is quite humorous."

...

Although it was a joke at the end, Lu Zhou was not in a good mood.

After staring at the files in the computer for a long time, he looked at the stack of A4 papers next to him that was almost full. He was holding his hair with both hands, and his face was full of impetuosity.

Fighting on two fronts seems to be a wrong choice. One side is number theory, and the other side is functional analysis and group theory. Every problem is a big headache.

And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank introduces the operation of extra dimensions outside the symmetry field. Problems that cannot be explained mathematically can be avoided.

If starting from the perspective of dark matter, each generator of Z/PZ can be mapped to a function like exp(2pi·i/p), the Pontryagin dual problem can also be properly solved...probably?

In short, his mathematical intuition told him that this possibility is very large, and it is as big as the amount of work to perfect this theory!

Leaning back on the chair, Lu Zhou looked at the ceiling, the symbols kept lingering in his brain, and he even forgot about going to eat soon.

group theory...

group theory...

If only the problems of group theory were as simple as those of number theory... although number theory is not so simple either.

Wait, group theory? !

Lu Zhou's eyes lit up, and suddenly a flash of inspiration flashed in his mind.

This fleeting aura did not illuminate the shadow under the 750GeV characteristic peak, but accidentally lit on top of Polignac's conjecture.

Sitting up from the chair, Lu Zhou was spinning the pen in his hand, and his brain was spinning fast.

Group theory is a very powerful tool. It is not only listed as the two theoretical artifacts of quantum mechanics together with Hilbert space in functional analysis, but also can be used in number theory, especially when studying infinite prime numbers. miraculous.

For example, any teacher of basic number theory will mention a very classic example in the first or second class-Fermat's little theorem.

There are many proof methods for this theorem, among which the most concise proof method is recognized by group theory.

As for how concise it is, the standard font can be done with only three lines.

That is, if α and p are relatively prime, according to Euler's theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiply by α to get the conclusion: when α is a natural number and p is a prime number, there is α^p≡α(modp).

Is not it simple?

In fact, Fermat's little theorem is just a special case of Euler's theorem.

However, using Euler's theorem, it can still be solved by the method of group theory, and the whole proof process does not take half a page.

During this period of time, when Lu Zhou was thinking about the proof of the Polignac conjecture, his thoughts had been on how to supplement the topological principle of the sieve method, how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods...

In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solve the Polignac conjecture on this basis.

However, even Lu Zhou himself did not expect that he was inspired by an irrelevant physics topic.

The way to rescue the princess trapped in the castle by a dragon is not to enchant the sword that once beheaded a dragon, but to remove the longbow on his back.

The ballpoint pen between his fingers turned faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".

Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with regret.

"Neglected... This line of thinking may really work!"

When the inspiration comes, the train of thought is like a diabetes collapse, which cannot be stopped!

Putting aside the matter of "750GeV" for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...