Unfortunately, the research institute does not plan to recruit for now.
Theoretically, Li Jiangao is qualified to arrange for people to enter the institute, but, regrettably, Li knows he is too soft-hearted, so he directly handed the power over to Qiao Ze.
For Qiao Ze, such troublesome matters are naturally set aside for later. His most important task at present is to graduate with his Ph.D. as soon as possible.
About the matter of the undergraduate thesis, Li Jiangao specifically called Qiao Ze to ask his opinion. Qiao, who wasn't hung up on who to choose as a thesis advisor, promptly sent Li the paper he had already prepared.
The extract from the manuscript written while proving the existence of solutions for the Yang-Mills equation could, after letting Dou Dou polish it a bit, not just suffice for an undergraduate thesis, but would even be enough to earn a master's degree.
The meaning is quite simple: expressing gratitude is merely a matter of adding a sentence before or after the paper—no time should be wasted on such trivial matters.
Especially since Qiao has truly been immersed in his research project lately, to the point of being utterly engrossed!
Once he continued to expand his thoughts on resolving the mass gap problem, Qiao found that when the general solution could consistently describe the evolution of gauge fields, he could reinterpret the dynamics of gauge fields and provide a novel interpretation of mathematical structures in high-energy physics.
Particularly when considering the physical structures corresponding to the new algebra, given the fundamental properties of the super helical space algebra, it would lead to certain rotational and vortex structures in the gauge fields. This, in turn, would affect the topological properties in a physical sense.
Put simply, if the super helical space algebra has physical significance, it means that one or more new states of matter or topological properties of fields have yet to be discovered by physics.
If it turns out he is correct in the end, that would be very interesting.
Although Qiao Ze has never been much interested in the practical applications of theories, if this time he is right, it implies that there might be a way to modulate the topological invariants of objects in reality.
For instance, by altering the distribution of electric and magnetic fields, one could control the presence and size of materials' mass gap. One could even design a geometrical theory to create new materials with specific electronic structures and mass gap properties.
Indeed, in this moment, Qiao feels like he has opened the door to a brand new world.
According to the mind map he has already completed, he intends to create a corresponding geometrical theory for the super helical space algebra, which Qiao Ze decides to tentatively call transcendental geometry.
Similarly, transcendental geometry includes unconventional descriptions of energy bands and topological properties.
Of course, these descriptions all correspond to the super helical space algebra.
In just these past few days, Qiao has already completed the description of two important formulas in transcendental geometry.
The first is related to the unconventional electromagnetic fields of transcendental geometry properties: [ H =\\int d^3x \\sqrt{g}\\left[\\frac{1}{2}\\left(\\mathbf{E}^2 +\\mathbf{B}^2 \\right)+\\frac{1}{2}\\left(\\nabla \\cdot \\mathbf{A}\\right)^2 \\right]]
Where (\\mathbf{E}) and (\\mathbf{B}) are the electric and magnetic fields respectively, and (\\mathbf{A}) is the field introduced by unconventional geometry.
The second is the topological property of transcendental geometry: [ext{Chern}_{ext{transcendental}}=\\frac{1}{8\\pi^2}\\int ext{Tr}\\left( F \\wedge F \\right)]
Where (F) is the field-strength tensor of unconventional electromagnetic fields, (ext{Tr}) is the operation of trace, and (\\wedge) represents the exterior product.
These two formulas are sufficient to establish the foundations of transcendental geometry.
If those scholars who have passed away knew of Qiao Ze's achievements these days, they would likely experience a collective cerebral climax once more.
And would strongly demand that Qiao Ze's presentation should be extended...
But, regrettably, these two formulas are not yet known to anyone. Qiao Ze does not plan to disclose this successful research until his doctoral thesis is completed.
After all, the idea that he enjoys publishing papers in top journals is a complete misunderstanding on the part of the outside world.
At least for the time being, Qiao believes that each paper he publishes is simply out of necessity.
For example, initially, he needed to quickly gain reputation, so that Li could quickly fulfill his wish, thus he started with the easiest, an intelligent model.
Tackling a series of problems in the Yang-Mills Theory has been his goal for many years now.
Now, for Qiao Ze, the accumulation phase is over, and the most amazing academic career has finally begun...