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But at the sa ti, those who ca were also internationally renowned academic magnates.

The issues to be addressed were more advanced than last ti, so the reception work could not be sloppy either.

Fortunately, the school still provided full support, and there was also cooperation from the Science Academy.

It sowhat allowed Xu Dajiang to catch his breath.

In any case, though unexpected events had occurred many tis, all were resolved in ti.

The date and venue of Qiao Ze's doctoral thesis defense were also subsequently determined.

On March 21, 2024, the defense was set to be held in the multifunctional conference center's multidia conference room number 1, which was capable of accommodating two hundred and thirty people, and had only been completed by the university the previous year

The format of the defense had also changed.

In addition to the professors forming the defense committee who could ask questions, other scholars attending the defense could also pose questions about the thesis after the committee had completed their inquiries.

This segnt was specifically allocated 60 minutes.

During the period when the attending scholars were asking questions, the mbers of the defense committee would go to the next room to discuss whether to pass the defense.

However, there was a screen in the next room that could show the session where the attending scholars asked questions and the performance of the defendent in real ti.

This effectively raised the difficulty of the defense.

An ordinary doctoral dissertation defense only requires the approval of the defense committee in order for the candidate to smoothly obtain their PhD degree.

However, under this defense model, if the attending scholars asked difficult questions, it would certainly influence the judgnt of the defense committee.

But there was no alternative.

Qiao Ze was too lazy to hold a separate symposium just for solving the Yang-Mills mass gap problem; it was sothing that couldn't be explained to the mathematics and physics communities of Huaxia. He could only take advantage of this thesis defense to get things done.

Xu Dajiang wasn't doubting Qiao Ze's abilities, but he was worried about whether Qiao's character could accept such an arrangent.

Fortunately, it seed that Qiao was in a good mood and had agreed to the arrangent.

Indeed, if one were to judge from the previous symposium, the vast majority wouldn't be able to ask any valuable questions.

Just like Su Mucheng had said, complex, new mathematics simply required a certain amount of ti to research and master.

Moreover, judging from the research results that have been successively published on the Institute for Advanced Study in Princeton's official website during these tis, the smartest group of people in the world were still in an interdiate stage of understanding superspiral algebra.

Although they have already proven several theorems based on his provided ideas, many core theorems are still being tackled.

Take, for example, the latest problem given on Princeton's official website that has not yet published an answer.

"In superspiral algebra, for any two superspiral numbers (s_1) and (s_2), there exists a spiral number (s) that satisfies the following property: [ s = s_1 ⊕ s_2 ]."

This is actually the most fundantal principle of superspiral superposition in superspiral algebra; to put it in layman's terms, the superposition of two superspiral numbers is always a superspiral number.

The reason it's a fundantal theorem is that only in this way can the closure and uniqueness of superspiral algebra be maintained, and thus, to prove it is to grant superspiral algebra its completeness and stability of mathematical structure.

Therefore, Qiao Ze felt no pressure at all.

It wasn't out of arrogance or underestimating the heroes of the world.

Mainly, it was because he was the pioneer of both complete theories. The problems the other side still needed to study had already been thoroughly proven in manuscripts that he was unaware had been reclaid by soone.

His choice to not disclose them was simply because the other side had previously rejected his good intentions, leading Qiao to think that maybe they wanted to extend the entire algebraic system through their own efforts. Rashly solving it might make them feel humiliated.

To be honest, Qiao had a rather favorable overall impression of Princeton, especially of Roth Dugan, the dean of the School of Mathematics. Although academically, Dugan hadn't provided much assistance, he had shown great kindness towards Qiao.

Therefore, Qiao chose to give them the utmost respect. At most, he would just help them with so related problems to ensure they were on the right path in their research.

This could be seen to reflect Qiao's true nature, which was indeed kind, even gentle.

This gentleness also carried through to the day of his doctoral thesis defense.

Princeton's official website still hadn't published the complete process for proving that completeness theorem; however, this was understandable.

After all, it was said that all mathematicians involved in the superspiral space algebra research team were invited to attend his doctoral defense ceremony.

...

"... The importance of solving the Yang-Mills Fields mass problem need not be reiterated here. But rather than the basics of Quantum Chromodynamics, I'm more curious about what exactly happened on the microscopic level that made this problem so intriguing."

"However, before explaining the specific theoretical models and research results, I need to first familiarize all present with a series of concepts. These are the series of geotric problems that you have already encountered online, which I call transcendental geotry."

"The reason is not only because transcendental geotry corresponds with superspiral algebra, but also because transcendental geotry has nonlocal characteristics when dealing with Yang-Mills Fields, compared to traditional local field theory thods. Nonlocality connects points in space that are not adjacent and provides a new perspective for understanding the Yang-Mills Fields mass problem."

"At the sa ti, it also provides a new explanatory frawork for our physicists, allowing the Yang-Mills Fields mass problem to be described more naturally in the language of transcendent mathematics. This helps eliminate certain difficulties and contradictions present in traditional models."

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