After a long while, Lu Zhou typed down a line of words and asked.

[What if I can't find it?] 】

The old gentleman typed very quickly, and within five minutes he had replied to his question.

[Of course, this possibility exists, if we can't find what we need in the energy scale below TeV, we can only declare the bankruptcy of the minimum supersymmetric standard model, and then go to the higher energy region to find what we are looking for.] Proving our previous work wrong is also an important finding, though not necessarily what we want to see...... But I think you can actually be a little more confident in our theory, the New World is just around the corner, and I can even smell the spices. 】

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

It's just that Lu Zhou was not so optimistic and couldn't laugh at all.

Perhaps because he has not experienced the feeling of studying in the labyrinth of the quantum world for decades, he has not cultivated the humorous spirit that a theoretical physicist must have when facing unsolved mysteries.

A question that he can't figure out doesn't frustrate.

But if there is no end to a study and no future in sight, it is difficult not to feel irritated.

Yes, that's how the subject made him feel.

Even if there is a Nobel Prize boss in the team, he can't draw a reliable path for him with a positive tone. There are countless ways to do it, and all they can do is compare the possibilities.

Unlike the math problems he studied, what was wrong was wrong and what was right was right. Reviewing a manuscript may take time, but it will definitely put an end to his efforts in the end.

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

The development of theory is far from experimentation, and the construction of this edifice is not even rigorous experimental data, but something that has not been tested experimentally, or even cannot be tested for decades.

The "Standard Model" on which theoretical physics relies is probably such an "unreliable" thing to put forward conjectures based on proven theories and finite phenomena, and then construct a model with countless conjectures.

In the sixties, the supersymmetry wheel was proposed, and in the eighties, string theory was emerging, but only a few years ago, God particles were found in the laboratory, and the theoretical physics community hastily announced that it had entered the "post-Standard Model" era.

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

This obsession is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the Standard Model will not 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-piercing sentence - "What have you been doing for half a century?" ”

It would be nice if theoretical physics were like news.

I found this today, overthrew that tomorrow, hammered this the day after tomorrow, and every day is a new page......

But in fact, anyone who is careful will find that almost all theoretical physicists add the word "probably" to their words when they publicly describe a novel idea.

Regarding the speculation of dark matter, Lu Zhou does not know whether his speculation is correct.

Both theories have the possibility of validity, but the conclusions drawn are very different, and if he had conclusive evidence to refute the other theory, he would not hesitate to come up with it and convince Mr. Frank, but unfortunately he did not.

We can only wait for the experiment to be tested.

After hesitating for a moment, Lu Zhou's hands resting on the keyboard finally moved and typed down a line.

Click and send.

Maybe you're right, but I'm more inclined to think that we're not discovering a new continent, it's Iceland. 】

On the other side of the Pacific Ocean, Professor Frank, who was sitting in the passenger seat, 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," said Old Mr. Frank, shaking his head, closing the lid of his notebook, and smiling, "the Chinese lad I told you about is quite humorous. ”

……

Although he made a joke at the end, Lu Zhou's mood was not good.

He stared at the files in the computer for a long time, and then looked at the stack of A4 paper next to him, which was almost full of writing, and he grabbed his hair with both hands, and his face was full of impetuousness.

Fighting on two fronts seems to be a wrong choice, with number theory on one side and functional analysis and group theory on the other, each of which is a big problem

And this is not the most uncomfortable, the most uncomfortable thing is that Mr. Frank introduces the operation of extra dimensions outside the symmetric field, which is really lacking in mathematical beauty, obviously according to his set of views, from the perspective of dark matter, many problems that cannot be explained mathematically can be avoided.

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

In short, his mathematical intuition told him that this possibility was very high, and the amount of work to perfect this theory was just as great!

Leaning back in his chair, Lu Zhou looked at the ceiling, his mind constantly wandering around those symbols, and he even forgot that he was about to go to dinner.

Group Theory...

Group Theory......

If only the problem of this group theory was as simple as number theory...... Although number theory is not simple.

Wait, group theory?!

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

This fleeting flash of light did not illuminate the shadow under the characteristic peak of 750 GeV, but unexpectedly illuminated the head of Polliniac's conjecture.

Sitting up from the chair, Lu Zhou turned the pen in his hand, and his brain spun rapidly.

Group theory is a very powerful tool, not only as one of the two theoretical artifacts of quantum mechanics along with Hilbert space in functional analysis, but also in number theory, especially when studying infinite prime numbers.

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

There are many ways to prove this theorem, and the most concise proof method is generally accepted to be proved by group theory.

As for how concise it is, a standard font can even do it with just three lines.

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

Isn't it simple?

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

However, with 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 time, when Lu Zhou was thinking about the proof of the Polygnac conjecture, his thoughts had been on how to supplement the topological principle of the sieve method and how to generalize the form of K=1 to infinite natural numbers, but he did not consider using other mathematical methods......

In fact, many of the papers on Arxiv's website have been doing the same thing for most of the year, trying to improve his method and then solving the Polygnac conjecture on this basis.

However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.

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

The ballpoint pen between the fingers spun faster and faster, and finally flew out with a whoosh, and hit the lamp with a "snap".

didn't pick it up, Lu Zhou suddenly sighed, leaned on the table, and sighed with some chagrin.

"Negligent...... This line of thinking, maybe it really works! ”

As soon as inspiration comes, the idea is like a diabetes collapse, and it can't be stopped!

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