Super God-Level Top Student-Chapter 379 - 192: Arguing and Unheard Forms of Algebra_4
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The outside disturbances hadn’t affected Qiao Ze.
Especially in recent times, Qiao Ze had been very busy.
Of course, not with organizing any conferences; Xu Dajiang had everything arranged, and he only needed to deliver his speech on the first day of the conference.
Now, he had thrown himself entirely into the work of solving the Yang-Mills Equations.
This time, he even had Dou Dou search for related articles on major prepublication websites to see if there had been any previous research in the mathematics or physics community.
Regrettably, despite searching through nearly all the related keywords, Dou Dou couldn’t find any papers on this new type of mathematical structure that transcended traditional mathematics.
It was an extremely troublesome matter.
It meant that he had to pioneer a new field in mathematics—Super Helical Space Algebra.
Through his research over these days, Qiao Ze had gained a deeper understanding of this new algebraic structure that had emerged in his dream.
The most important property of this completely original algebraic system was that it allowed for operations in ultra-high dimensions, including Super Helical Derivatives and Nonlinear Super Helical Multiplication, with its greatest advantage being its more natural description of the nonlinear properties of gauge fields and complex phenomena in high-energy physics.
In other words, because this algebraic system and mathematical thought hadn’t appeared in the world before, even if Qiao Ze could calculate the solution to the Yang-Mills Equations using this method, to make mathematicians and physicists around the world understand the underlying mathematical thought, he still needed to provide a complete proof of the theorems within the whole system.
It was like how calculus went from non-existence to existence through the efforts of several generations who slowly completed a series of theorems.
If Qiao Ze were to create this branch of mathematics, he would similarly have to start from nothing, beginning with the definition and explanation of the most basic concepts, to let everyone understand his mathematical thought.
This also made Qiao Ze realize the greatness of those predecessors. It was not only because they had produced one academic result after another but also because they explained those extremely abstract concepts clearly enough for more people to learn and pass on.
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Because to make everyone understand, there was far too much preparatory work to do.
In the end, Qiao Ze made a somewhat irresponsible decision.
First, he would use this method to derive the solution to the Yang-Mills Equations, then hand it over to the academic community to verify with supercomputing.
As long as the final result was correct, it seemed not very important for the scholarly community to understand this unconventional algebraic structure at present.
For nonlinear partial differential equations, attempting to solve them with supercomputing is almost an impossible task at the moment, given the enormous computational workload, but if the general solution is already derived, then verifying it is not difficult.
Given the current capacity of global supercomputers, as long as sufficient computing power is made available right away, results could be obtained in just a day or two.
When it comes to the general solution of the equation, even if different parameters are used when writing the program, it would at most affect the speed at which the results are produced, but they would certainly be verifiable. There wouldn’t even be a need for Qiao Ze to provide too detailed a proof process.
However, even after transforming the Yang-Mills Equations using Super Helical Space Algebra Transformation, given the equation’s inherent complexity, seeking a solution was still a very troublesome matter.
Particularly regarding this new algebraic structure, he still needed to figure out the proofs for several key theorems before he could confidently arrive at the correct results.
Therefore, for over a month, Qiao Ze had almost entirely dedicated himself to this research, to the point that he had even stopped paying attention to the photolithography project in the building.
That is until Xu Dajiang came to persuade Qiao Ze to move...
Yes, the university had already prepared a three-story building for Qiao Ze, to serve as the temporary base for the Xilin Institute of Mathematics.
It wasn’t just about rushing to initiate the project; a group of the world’s top scholars would soon arrive at Xilin, and they were coming because of Qiao Ze. The photolithography building was a classified facility, which was not suitable for hosting visitors!
However, Xu Dajiang probably hadn’t expected that, even if they changed buildings, Qiao Ze would still be inconvenient to receive guests at this time.
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