Chapter 508: Accidentally came up with something new

With the Song school beauty on a business trip, Xu Qingzhou became completely busy, leaving early and returning late. He had to control the progress of the superconducting thin film experiment, analyze various battery data, and prepare for the report on the 1st. Especially for the latter, he spent almost all his time on the report.

Therefore, while Song Yao was not at home, he occasionally stayed up until 2 AM.

The result was that on the 24th, at 1:30 AM, the Song school beauty directly made a video call and caught him in the act.

Near the University of San Francisco, inside a five-star hotel called "Granada Hotel".

Song Yao sighed helplessly. This troublesome guy was indeed staying up late again. Hmph, she would have to give him a good lesson when she got back.

She turned her attention to the notebook in front of her. It was only the fourth day of the seminar, and she had already filled two notebooks with content.

Song Yao put her phone to the side, lit up the screen, and flicked Xu Qingzhou's forehead on the lock screen. "Sleep after reading for a while."

The days in San Francisco were bombarded with all kinds of academic information every day.

Compared with the economic academic conferences she had attended before, this conference was slightly different; it was a "three-in-one" hub of academics, policy, and business.

Understanding the adjustment direction of the policy toolbox at close range, such as how to hedge against interest rate hike pressure in the face of "competitive easing" and how to minimize one's own impact.

Besides these, there were empirical analyses by Xia Nation and American scholars on tariff policies and supply chain restructuring. At the conference, she also saw microscopic simulations of global value chain fragmentation that had not yet been published.

It could both deepen theoretical innovation and anchor solutions to realistic problems.

To a certain extent, it could be said that its value far exceeded simple "knowledge acquisition"; it was a kind of thinking, a way of thinking about correctly applying economic systems and operating laws.

The most intuitive feeling was that crows are black all over the world. Even if the United States claims free trade, it has its own double standards. Some super-large enterprises claim to have a just corporate culture, but in private, they are hypocritical and sanctimonious.

Some scholars from Wall Street call themselves vultures, and economic crises are vulture seasons. Those economies that cannot withstand economic shocks will, without exception, become vulture food.

For another example, some scholars criticize the United States for over-issuing currency, shifting its own crisis, causing food prices to soar, and bankrupting poor countries.

The other side retorts that it is your own country's economic system that is unreasonable, with management loopholes everywhere, etc.

In short, all kinds of monsters and demons are there.

On November 24th, Xu Qingzhou indeed received a call from the Organization Department. It was Director Zhang Xiaohui, whom he had met once before, saying he wanted to visit on November 30th to talk face-to-face about his return to the country.

Xu Qingzhou agreed immediately.

He roughly knew the conditions the other party would mention.

The Xia Nation had high hopes for his development in mathematics.

It was estimated that they hoped he could establish a mathematics research institute, create a landmark platform in the mathematical community, radiate to the Jingda Mathematics Department, and then drive the development of the Xia Nation's mathematical community.

But...

They might be disappointed.

He would not take mathematics as his main research field. At most, when doing other experiments, he would incidentally research things in the mathematical field.

Watching the seminar getting closer and closer, Xu Qingzhou completely handed over the superconducting thin film experiment to Carson, and his focus shifted to the report he had to make on the 1st.

This time, it was mainly content related to analytic number theory.

Since it was a report meeting, he couldn't stir-fry the old leftovers again; he had to come up with something new for everyone who had traveled far to get here.

Therefore, he planned to add some new research and link several conjectures related to prime numbers.

Apartment.

The sound of typing "ka-ka" echoed in the quiet living room.

"Done."

Xu Qingzhou looked at the speech draft on the computer, nodded with satisfaction, and stretched his sore arms.

After 7 days of seclusion, he finally finished the report draft.

From the dimensional revolution of the prime number universe to the geometric interpretation of zero repulsion, from string theory to the strict mapping of prime number distribution, and finally extending to quantum entanglement and prime number pairs, and the proof of the PC/PC correlation function.

While linking the several conjectures he had solved before, he also introduced concepts from the field of quantum mechanics.

Currently, it looks like there are no problems; it's quite interesting, research in mathematical physics.

Er Miao squatted beside the computer. Seeing Xu Qingzhou not typing, its eyes rolled a few times, and it wanted to jump onto the keyboard. But before it could step on it, it was grabbed by the bipedal beast by the scruff of its neck and lifted into his arms.

"I've been guarding against you for a long time."

Xu Qingzhou stroked Er Miao's furry head a few times. This silly cat always liked to run onto the keyboard.

Er Miao protested and wanted to escape from Xu Qingzhou's hands, but it lacked the strength and finally succumbed to Xu Qingzhou's violent suppression.

Seeing the cat was honest, Xu Qingzhou shook his head, his gaze looking at the report on the computer, and a moment later shifted to the mind map on the manuscript on the side.

These days, there was a vague idea.

He narrowed his eyes and picked up a pen to circle "Quantum Field Theory" on the manuscript.

After pondering for a moment, he added the two concepts of "Supersymmetry" and "String Theory" next to Quantum Field Theory.

What he was thinking about was whether he could come up with something different.

Traditional analytic continuation relies on the extension of the Z-function, asymptotic estimation of the prime number theorem, and finite optimization of sieve methods. Even if he made up for the defects of these tools through other means in his previous proofs, there would still be corresponding limitations.

In the twin prime conjecture, traditional sieve methods are still limited by the "parity barrier" and cannot break through the gap density limit, while for the Polignac conjecture, the multi-level randomness of generalized prime gaps is difficult to model uniformly.

This time, he had been considering such a problem.

Could he introduce the idea of supersymmetry from quantum field theory, which he was familiar with, and combine the Z-function with its supersymmetric partner function...

"That's right, supersymmetry will force non-trivial zeros to present a symmetric distribution along the critical line, and there is a rigid lower limit for the spacing between adjacent zeros. This symmetry will be able to directly prove the Riemann Hypothesis."

In other words, the Riemann Hypothesis is correct, this symmetry can exist, and proving the existence of symmetry is also proving the Riemann Hypothesis.

"It seems... there is a bit of a chance."

Xu Qingzhou muttered to himself, sat up straight, and continued along the train of thought just now.

In addition, he also hoped that the zero density of the supersymmetric Z-function could directly generate an explicit formula for prime gaps, such as twin prime density.

First, solve a quantum random walk model, model the random distribution of prime gaps as the transition of quantum walking particles on the number axis, and rewrite a sieve method.

Then, through the deterministic control of the sieve method, by solving the Schrödinger equation of the model...

Finally, derive the global solution of the Polignac conjecture.

"No matter how you look at it, it has a future, but it's a bit difficult."

Xu Qingzhou scratched his hair, put down the pen, and suddenly felt a bit of a headache.

Although it sounds very simple, it is very difficult to actually practice it, roughly equivalent to hand-crafting a spaceship.

Because this changes the research paradigm of traditional analytic number theory to a certain extent, and it can even be said that it subverts traditional analytic number theory.

(End of chapter) ===== CHAPTER 509 =====