I really just want to be a scholar

Chapter 928 Mathematics level, breaking through the limits!God of Mathematics!

After Qin Ke finished explaining, he stood there, waiting for everyone to ask questions or put forward new ideas.

This is also the unique communication method of their group. They usually think about things individually, and when they get together, they drink tea and coffee, have sparks of thinking in the form of chatting, and even brainstorm together.

Many new creativity and ideas are born through this easy and free communication method.

Although Mr. Qiu went to Qiuzhen Academy to handle matters today and was not here, Qin Ke, Ning Qingyun, Edward Witten, Tao Zhexuan, and Academician Tian Jianlan who were present were basically considered to be in Xia Dynasty. The top math master in the country.And yesterday I was stuck on the optimal solution of this third set of partial differential equations.Except for Academician Tian Jianlan, the others had been thinking all day long and had many new ideas. Lao Tao was the first to speak.

The entry point he chose was the three-dimensional hyperbolic manifold, because the third set of partial differential equations was originally derived from this special manifold. He calculated the complement of the hyperbolic knot under the hyperbolic metric. A purely topological problem is transformed into a logarithmic function.

Although it failed to solve the problem raised by Qin Ke, it provided a new perspective.

Next, Ning Qingjun and Edward Witten presented their own thinking results from different directions of normalized tangent bundles, pseudo-effective cones and small remainder clusters, rationally connected clusters and Kato homology on KLT singularities.

It was Academician Tian Jianlan's turn to speak last.

Academician Tian Jianlan thought for a while and then said: "I don't know much about superstring theory, but just now Qin Ke used 'new geometry' to derive the third set of partial differential equations from the three-dimensional hyperbolic manifold. Look, it is mentioned that for any non-negative number p, p-brane is indivisible. I think that such p-brane can be regarded as one of the 'basic units of strings', and transform it into The concept of 'prime numbers'?"

Edward Witten praised: "Academician Tian's point of view is correct. In superstring theory, string is not the only basic unit. P-brane can indeed be called a 'basic unit', and its definition is somewhat similar to that of prime numbers. Similarity.”

A prime number refers to a natural number that is greater than 1 and has no other factors except 1 and itself. It does have a certain similarity with p-brane in terms of "indivisible" and "indivisible".

Academician Tian Jianlan is an expert in number theory. Her way of thinking about problems is to find connections with number theory as much as possible, and approximately convert the problem into a number theory problem. At this time, she stepped forward to take the question from Qin Ke's hand. Pen, wrote down a few strings of mathematical formulas, and said:
"The parameter issue that Qin Ke circled just now, I think, should be related to the existence of this p-brane. Can we set this changing p-brane as a number theory combination, by using Cochy-Darwin's Botter theorem? , introducing the definition and properties of Dyson e-transform..."

Academician Tian Jianlan's overall idea is to use Chen Jingrun's double linear sieve method, combined with Selberg's upper bound sieve method, to find the most suitable special prime number p, and substitute it into the formula derived from her custom gauge field and fiber bundle theory. In the subroutine, parameter substitution is implemented.

"It's a pity that I can only think of this step. I failed to solve the problem you just raised. In the end, it seems that I have gone astray." After completing the replacement of parameters, Academician Tian Jianlan smiled self-deprecatingly and put the erasable pen Return it to Qin Ke.

After thanking Qin Ke, he looked at the dense calculations on the big whiteboard and fell into deep thought. After nearly 5 minutes, he erased all the calculations on it, and then wrote a line - "Specify the local degree of freedom. degree of freedom".

"I summarized everyone's ideas just now. Although the methods are different, the ideas are consistent and can be compared to the local degrees of freedom in the gauge degrees of freedom in gauge field theory. I also agree with this idea. What I just said The parameter problem, in the final analysis, is to find the most suitable value that does not affect the overall situation among the parameter groups with limited degrees of freedom, so that the optimal solution of our third group of partial differential equations is 6. In this case , I have a new idea, we might as well transform it directly into a matrix problem, combining Lie groups and modular function theory..."

Qin Ke's eyes shone with wisdom, and his whole person seemed to shine with a different kind of brilliance. He wrote repeatedly: "∑τ(n)q^n+q∏(1-q^n)*qΦ (q^m)/η(z^ty)……”

He wrote faster and faster, and soon finished a series of derivation processes. When the whiteboard was finally filled, the final result was an extremely complex system of partial differential equations with the number "24" appearing 17 times.

"This is..." Edward Witten stood up almost in disbelief and lost his voice: "Ramanujan's magic number!"

The so-called "Ramanujan's magic number" refers to the "number" that appears in string theory and causes the magical cancellation of dimensions.

Ramanujan was a very magical master of mathematics. He was self-taught, and "mathematical intuition" accounted for a huge proportion in his mathematical theories. He proposed a lot of incredible ideas without any argumentation process, but was eventually rejected. Prove correct mathematical theories, functions, and calculations.For example, the Ramanujan function and Ramanujan's mathematical identity he proposed can be applied to string theory very accurately!

In string theory, there are a total of 26 dimensions, and the Ramanujan function can correspond to 24 types of physical vibrations of strings.Whenever a string performs its complex motion by breaking up and recombining in space and time, it satisfies the highly complex mathematical identities of Ramanujan.

No one can understand whether this is a coincidence or whether the truth of nature is the same, let alone what mathematical intuition Ramanujan based on when he wrote Ramanujan’s mathematical identity. However, string theory physicists have chosen to It is used as one of the basis to prove the rationality of string theory, and 24 is called "Ramanujan's magic number".

Later, with the development of superstring theory, 24 dimensions were compressed by the 3-dimensional world to 8, so the critical number of superstring theory is 8+2, which is 10. Superstring theory is also called 10-dimensional theory.

To this day, whenever someone asks why superstring theory is 10-dimensional, the generalized Ramanujan function and Ramanujan’s magic number are always brought up as a basis for logical self-consistency, but no one can still Answer "Why can strings vibrate in a self-consistent quantum form only when it is 10 dimensions?"

Now the derivation of Qin Ke's "transformation formula" is to perform a clever limited local free transformation on the third set of partial differential equations that originally had parameter problems, making it equivalent to the original formula.

Miraculously, in this new third set of partial differential equations, a large number of "24" appears, which seems to be somehow related to the generalized Ramanujan function and Ramanujan's magic number!

Qin Ke turned the big whiteboard over and continued writing on the other blank side.

Edward Witten's breathing became a little faster, because he vaguely discovered that Qin Ke seemed to be taking this opportunity to uncover the mystery of the wonderful connection between "Ramanujan's magic number" and string theory, and this mystery , it is very likely that it is essentially related to the 6-dimensional problem of "Calabi-Qiu space"!

Not only Edward Witten, but also academicians Lao Tao, Ning Qingjun, and Tian Jianlan all stared at Qin Ke's moving pen tip. They valued Qin Ke's exquisite mathematical thinking in this transformation and derivation process. and processing methods.

"Amazing... Is this guy possessed by Ramanujan?" Lao Tao murmured to himself, looking more and more excited. Qin Ke just sorted out the four people's suggestions at first, but as he The derivation becomes more and more in-depth, and the creativity and super-genius-like thinking reflected in it are simply amazing and shocking!
Even though I have lived with Qin Ke for more than seven months, I have long been accustomed to Qin Ke's "super" performance, and even vaguely regarded him as the "God of Mathematics", but now I see Qin Ke's another super performance. Lao Tao was still extremely shocked by his divine performance, especially his "mathematical intuition" that was like a divine help.

Because of this kind of wild imagination, he had only seen it in Ramanujan’s works!

Tian Jianlan's eyes were also full of shock. The complex and difficult mathematical calculations that were obviously unrelated were connected together in a natural way, which was indescribably shocking.

Even his teacher, Mr. Chen Jingrun, would be amazed when he saw this scene, right?Academician Tian Jianlan was thinking to herself, but a thought quickly emerged in her mind: Maybe, this is real mathematics, right?

——Unfettered, free to transform, like a Rubik's cube that changes in thousands of ways, but ultimately turns into a regular and perfect cube!
Qin Ke's derivation process at this moment was like a Rubik's Cube master resolving the Rubik's Cube with super-fast hand speed!
Ning Qingyun looked at Qin Ke with eyes full of admiration. The transformation essence of new geometry, Qin Ke's superhuman mathematical intuition and talent, and unparalleled profound knowledge were all displayed in his writing at this time. !Qin Ke's pen tip writes faster and faster. Every time he finishes writing a page, he turns over the whiteboard, erases the content on it, and writes again.

The smoothness of his pen tip is like a rushing river, and like the light cutting through the night. It seems that all the mathematical fog collapses and disappears in the face of such majestic momentum and indestructible light, revealing the truest truth!
Finally, Qin Ke's pen tip outlined the most perfect number "6".

This is the optimal solution to the third set of partial differential equations after transformation!

He turned around and showed a bright smile: "It's done. 'Calabi-Qiu space' has no secrets in our eyes. Edward's M theory can be completed. At least in terms of dimensions, it will surpass all others in the world." The theory of M!"

There were clearly beads of sweat on Qin Ke's forehead, and his face was slightly pale due to excessive mental exertion. He was not as energetic as usual, but he stood there like a high mountain, a mountain that no one could surpass in the world of mathematics. The great mountains!
There was silence in the guest room for a long time. Old Tao was the first to come to his senses and clapped vigorously, while Ning Qingyun and Tian Jianlan couldn't help but follow suit.

A trace of regret flashed through Ning Qingyun's heart: It's a pity that Xiaoke is not here, otherwise it would be very exciting to record this scene with a brush.

Edward Witten's eyes sparkled with excitement. He kept clapping and looking at the last part of the calculation written by Qin Ke over and over again.

He knows very well that an "unexplainable problem" that has troubled the string theory community for decades has finally received the most standard mathematical answer. This answer can also directly explain the generalized Ramanujan function and Ramanujan function. The secret of the magic number!
Whether it is the world of mathematics or string theory, at this moment, a new page will be opened!
This Qin Kezhen... can no longer be described as a "genius", he can only be called a "god", the "god of mathematics"!
……

I don’t know if the system heard Edward’s call or it was a coincidence. At this moment, Qin Ke’s ear heard the notification sound of the God of Learning to Save the World system.

"Ding! After testing, you have cracked the connection between Ramanujan's function, Ramanujan's magic number and the origin of nature with your unique and wonderful ideas, and established a logically self-consistent M theory' The mathematical basis of dimensionality compression brings a perfect end to the dimensionality problem of M theory, which greatly promotes the improvement of M theory and human's understanding of the dimensions of the world. The 'score makes me improve' system evaluates the 'score' as 'S+' ', the 'Grades Make Me Improve' function takes effect, your academic points (mathematics) +10000! Academic points (physics) +10000!"

Along with the system beep, Qin Ke's math upgrade progress bar and physics upgrade progress bar both moved forward.

Especially in mathematics, it was already close to the threshold for promotion. The difference was only about 7000 academic points. This time, I gained 10000 academic points and reached the finish line immediately.

"Ding! Your academic points (mathematics) have accumulated to 100000, meeting the upgrade requirements!"

"Your mathematics level has been upgraded to: 'God of Mathematics Level'!"

Qin Ke was ecstatic, his mathematics level finally broke through to the long-awaited level of the God of Mathematics!

"Ding! The host's mathematics level has been raised to the limit that humans can achieve, and it has surpassed all mathematicians in history in terms of mathematical thinking ability, intuition, and understanding ability! Your mathematics level information has been updated."

"Mathematics level: 'God of Mathematics', next level: ???, upgrade progress: ???"

"Ding! You will obtain all the mathematical knowledge recorded in this world throughout the ages! Because the relevant theoretical knowledge is extremely huge and exceeds the limit that a human brain can absorb, the reward is temporarily suspended!"

"Ding! Because this is the first time that the host has broken through to the god level in a single subject, special rewards will be triggered, and your brain will be specially strengthened beyond human limits!"

"The entire strengthening process will last for about five days, during which the host will enter a sleep state to protect your brain."

"The enhancement will start in 10 seconds, please find a suitable sleeping place."

"The countdown begins...10, 9, 8..."

A series of notification sounds made Qin Ke's eyelids twitch.

Is there any mistake? Why can't I choose the time node when the reinforcement starts?

Qin Ke had no time to complain, let alone enjoy the joy of becoming the "God of Mathematics" in a systematic sense. He quickly said to Ning Qingyun: "Honey, I'm a little tired, so I'm going to rest first. This time the rest time may be longer. Even if you don’t wake up after sleeping for a few days, you don’t have to worry.”

Qin Ke didn't want to suddenly fall to the ground when the countdown reached 0, which would make Ning Qingyun even more worried. He turned his eyes and quickly found the sofa more than ten steps away. He quickly took three steps and two steps at a time. Run to the sofa in the hall and lie down.

Ning Qingyun was worried about him and hurriedly chased after him: "Hey, husband, if you are tired, don't run so fast..."

By the time Ning Qingyun ran to the sofa, Qin Ke had fallen on the sofa and fell asleep.

Ning Qingyun has seen similar scenes more than a dozen times. Every time Qin Ke falls into a sleep state after excessive mental exertion. In the words of the doctor, sleep restores energy. Originally, she would not worry too much.

But this time it was a little different. Qin Ke didn't seem to be completely exhausted, and he was able to trot to the sofa before falling asleep. This made Ning Qingyun feel inexplicably uneasy.

Edward Witten, Lao Tao, and Academician Tian Jianlan all hurriedly came over to inquire about the situation. Ning Qingyun touched Qin Ke's forehead. He didn't have a fever. He seemed to have just fallen into a deep sleep as usual, so he explained a few words and called Wei Feng again. Come over and help move Qin Ke back to the master bedroom, take off his coat, shoes and socks, and put him on the bed so that he can lie down comfortably.

Ning Qingyun carefully wiped the sweat off his forehead, adjusted the temperature of the air conditioner, covered him with the air conditioner quilt, and finally felt a little calmer.

But unexpectedly, from midnight that day, Qin Ke started to have a fever. (End of chapter)

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