CHAPTER 484: CHAPTER 155 UNDER THE SPOTLIGHT_4

...Finally, according to Theorems 2, 3, 4, and 5, it is known that each modal point r_p ∈ M corresponds to a Prime Number p, and the modal path Γ∗ describes the distribution trajectory of Prime Numbers.

The modal distance d_M(r_p, r_q) is the geometrical distance between modal points, and its properties directly reflect the numerical theoretical significance of Prime Number gaps |p−q|...

In summary, d_M(r_p, r_q) ≤ 6 is equivalent to |p−q| ≤ 6, and there are infinitely many Prime Number pairs with a Prime Number gap |p−q| ≤ 6 in the number theory sense. Thus, the proof is complete."

Qiao Yu is very good at time management, using fifty-five minutes of a sixty-minute slot.

In fact, if he slightly increased his speaking speed, he could finish in fifty minutes. This is also a more appropriate amount of time.

Typically, for an invited presentation, about ten minutes are reserved at the end for questions and answers.

Of course, in such a short time, only about three to five questions can be addressed, so the quality of questions is important.

This is also why there is a host arranged for such presentations. During the Q&A session, the host selects the questioners to address questions to the presenter about the content of the presentation.

However, today’s presentation was somewhat special, and many people didn’t have enough time to fully digest the content of the Generalized Modal Axiomatic System. Therefore, after just listening to fifty minutes of his paper, not many valuable questions could be asked.

So, they simply left five minutes, letting the host handle it. If someone asked questions, they could answer casually; if no one asked, the host would say a few words to wrap up and everyone could go eat early.

Of course, if there were real questions, they could also be addressed later during further communication.

Indeed, as Qiao Yu expected, the audience’s enthusiasm for questioning was not high.

A quick glance showed not many people in the front row were raising their hands... A brand new axiomatic framework still takes some time to digest.

The people selected as hosts for these kinds of presentations are usually quick-witted, and seeing the expressions of some bigwigs in the front row, they naturally knew how to handle the situation.

"Thank you very much to Qiao Yu for the wonderful presentation. The content on the upper bound of Prime Number gaps of 6 has been elaborated in detail in this presentation.

If anyone still has doubts about the paper, I believe Qiao Yu will not hesitate to take some time after the conference to have more detailed exchanges with everyone. Let’s thank Qiao Yu again for the brilliant exposition."

Soon, an extremely enthusiastic round of applause erupted from the audience.

Even though no one asked questions, besides the presenter on stage, everyone attending understood the significance of this paper in the field of number theory.

Years ago, it took a global effort to bring down the upper bound of Prime Number gaps to 246. After over a decade, someone has finally brought this number down again, to 6 in one fell swoop.

Honestly, at this moment, ninety-nine percent of the audience were looking at Qiao Yu with a mix of envy and a little bit of jealousy...

Even more than that.

Along with the publication of his and Chen Zhuoyang’s paper in Ann.Math, anyone who seriously read the two papers probably had rather complex feelings.

Being the first author in one of the four top journals is an honor many people dream of, and it was just so casually given away by that young guy on stage...

Yes, to many people, the second paper seemed like a giveaway.

The Generalized Modal Axiomatic System framework was one thing, but the entire proof logic was something most people couldn’t come up with.

But when it came to the follow-up verification work, it truly gave many people a feeling that maybe they could also achieve it if they tried.

And even more so...

There are always some unspoken rules in academia, such as mentors using their students’ work. It seems unbelievable, but this situation has always existed, regardless of the country.

Incorporating students’ research directly into one’s own framework, presenting the final result with the mentor as the main focus, using the data collected and analyzed by the student to independently publish papers.

Or even more disgracefully, mentors listing themselves as the first author on papers independently completed by students.

After all, not everyone in academia is a revered professor; there are also incompetents mingling in...

The young man on stage deliberately divided the content that could be handled in one paper into two, just to give his collaborator a first author.

Yes, Chen Zhuoyang didn’t need to say anything; everyone in the academic circle, after looking at the paper, roughly knew what was going on.

This made many people’s feelings indescribably complex.

Of course, these feelings had nothing to do with Qiao Yu. He just stood up and bowed slightly to the audience. It felt quite perfect.

Then he cheerfully walked off the stage. He was the second presenter today, and next was lunchtime, after which he would be free for the afternoon...

Qiao Yu planned to find Senior Brother Chen to accompany him in wandering around the conference venue for a chat.

Not to listen to the conference, mainly to hear Senior Brother Chen’s flattery...

Being with Qiao Xi is great, but making Qiao Xi praise him to the skies is a bit too difficult.

In this regard, Senior Brother Chen does it very well. Unfortunately, Qiao Yu soon realized he oversimplified the situation.

Even though the morning session ended, Qiao Yu found he couldn’t leave the banquet hall.

Because just as he stepped off the podium, he was immediately surrounded by a group of people.

It was a literal encirclement, though the situation was not chaotic. After all, everyone there was into Mathematics, and many were even professor-level supervisors.

They were simply engaging in academic discussion. However, it was unrelated to today’s presentation content, as everyone was asking about the Generalized Modal Axiomatic System...

Although not very courteous, as soon as someone reached Qiao Yu’s side and started asking questions, most others would choose to first quietly listen to Qiao Yu’s explanation.

"Qiao Yu, your paper, Lemma 1.3: The distribution of modal points on a modal path depends on the weighted modal density function, where the selection of the weighting function w(α,β,γ) affects the geometric characteristics of the modal distance.

But the basis for choosing this weight function is unclear to me. Is it the logarithmic density? Or some other known results from number theory or geometric properties?"

"Well... um, it has been proven... analogous to the logarithmic density 1/log p in the distribution of Prime Numbers. But it’s not just a pure logarithmic density, there is an extension here to regulate geometric properties.

Moreover, it ensures symmetry and smoothness; for instance, its defined parameters are symmetric... If you introduce a periodic term like sin(β), the repetitiveness and global structure of the modal path would weaken..."

...

Tian Yanzhen, Yuan Zhengxin, and Qiao Xi stood far away watching. There was no way to squeeze in now.

Qiao Xi probably understood now why Tian Yanzhen asked her to keep an eye on Qiao Yu and not let him wander around yesterday.

The passion of mathematicians, once ignited, seemed pretty intimidating even to Qiao Xi.

So she simply suggested: "Well... should we just not bother with him for now?"

Yes, out of sight, out of mind.