The paper was in Chinese, but fortunately, formulas are universal.
Sitting before Edward Witten, the distinguished scholar rely glanced at the steaming cup of water, furrowed his brow slightly, and then set it aside, paying it no further attention.
The next mont, Qiao Ze had already casually written down the most important high-dinsional graviton wave function equation from the paper and handed it over to Edward Witten.
A bit complex, a brand new equation presented a fresh challenge even for professionals.
However, Edward Witten wasn't in a hurry; after looking through it carefully, he waited for Qiao Ze's explanation.
Qiao Ze didn't disappoint; as soon as he saw that Witten had roughly looked through it, he explained the function's composition.
"△s is the Laplace operator in the Super Helical Coordinate System; V(s,t) represents the potential energy of containnt gravitons in the Super Helical Coordinate System;
"Fk(Ψ, s) is a set of nonlinear functions describing the interaction between gravitons and super helical spaceti. These functions include topological and geotric properties of high-dinsional space, as well as graviton effects derived from the second theorem of the Super Helical Coordinate System.
αk is the fixed curvature constant for each curve in the Super Helical Coordinate System, with different curves representing different physical effects."
Having briefly introduced the topic, Qiao Ze fell silent.
Waiting for Edward Witten to ponder.
Just like with his previous papers, understanding this function expression required a foundational knowledge of the Super Helical Coordinate System.
Given that the function involved complex geotric characteristics and extra physical dinsions and structures, representing it with conventional equations would be even more complex. This was the simplest form, and starting from here could save a lot of ti.
But soon, Qiao Ze realized that even with Princeton's dedicated research, their understanding of the Super Helical Coordinate System was still insufficient. The furrowed brow of Edward Witten across from him said it all.
So Qiao Ze simply wrote another equation and handed it over.
This function was more traditional in form, simply translating the content related to the Super Helical Coordinate System.
"First, compare the two equations. □ represents the D'Alembert operator in D-dinsional spaceti, μ is the mass parater of the graviton, R is the D-dinsional Ricci scalar describing spaceti curvature, and M* is a high-energy scale used to describe physical effects in the extra dinsions..."
Clearly, this ti Edward Witten understood quite quickly.
After a few minutes, he said with a frown, "I think I understand, but this doesn't describe the behavior trajectory of the containnt graviton as you ntioned to Lotte Dugan."
"It just needs a simple transformation," said Qiao Ze succinctly.
Then he picked up his pen again, wrote down a passage, and handed it to Edward Witten.
Edward Witten first looked up at Qiao Ze, then set his gaze on the formula that Qiao Ze had handed over.
Quite puzzled.
"As described in the previous equation, the potential energy V(s, t) of the graviton combined with the nonlinear function Fk(Ψ,s) of graviton interactions, includes the mathematical form of spiral motion properties. Because this involves unique topological and geotric properties in the Super Helical Coordinate System, I can only explain it simply.
This equation represents the spiral topological defects and the corresponding paths of energy minimization in spiral form. βk is a constant in the Super Helical Coordinate System, and θ(s) is a phase function related to the spiral path. Does this explanation make sense to you?"
Qiao Ze watched Edward Witten's expression intently, rather than starting on other tasks as usual.
While it was a discussion, from Qiao Ze's perspective, it could also be seen as a test.
This was also why he chose to directly provide the formulas, letting Edward Witten mull over them.
Because this was how he instructed his graduate students.
Like the ti during the report eting when he heard Wang Yu whispering comnts below, then he formulated a theorem and asked Wang Yu to prove it as an additional howork assignnt. It wasn't punishnt, but Qiao Ze always believed that formulas derived from theorems were the best problems.
As long as one managed to prove or completely understand these theorems synthesized by predecessors, then one would have grasped the corresponding knowledge.
That was why he started the five graduate students' materials from here.
The howork he assigned was also ant to test their understanding of the basic theorems of superspiral algebra and transcendental geotry.
Looking at it now, this thod proved highly efficient for him, but for his students, it was difficult.
So Qiao Ze decided to test it out on Edward Witten first.
If even this industry titan couldn't adapt to his mode of communication, then it most likely ant that his way of teaching students indeed had significant issues. The current state of the five grad students was largely his own responsibility.
By now, Edward Witten had slightly closed his eyes, evidently morizing the equation in his mind and starting to ponder its aning, combining it with Qiao Ze's explanation.
This made Qiao Ze begin to anticipate, one minute, five minutes, ten minutes...
After a long silence, Qiao Ze started to feel a bit disappointed.
Alright, the responsibility ultimately fell on him.
This highly efficient innovation in teaching was perhaps too presumptuous of him.
Despite being over seventy years old, with a mind not as agile as before, the scholar's depth of learning was undeniable.
If even such a high-caliber expert couldn't understand what he intended to convey solely through transfigured formulas, it was enough to show that his teaching model lacked universality.
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