In fact, for mathematics, the M-theory that posits an 11-dinsional space is equally highly abstract and built upon an extrely complex mathematical structure. Whether it is the 11-dinsional space, or the dynamics of strings and branes, or exploring the duality between different theories and the space of branes, as well as non-perturbative techniques...
To fully understand M-theory, one must deeply study those complex mathematics; otherwise, one would barely touch the surface.
This is probably why Edward Witten, though a physicist, was awarded the Fields dal.
The contributions made in physics were too cutting-edge and advanced to be verified by experints for the ti being, but the contributions to mathematics were evident.
This luminary's work blurred the boundaries between mathematics and physics and even creatively proposed solving mathematical problems using thods from physics, such as using Quantum Field Theory to explain certain topological invariants in mathematics.
For the study of new spaces, this is undoubtedly an entirely new thod.
In constructing the Super Helical Coordinate System, Qiao Ze actually also employed so thods proposed by Edward Witten.
For instance, both M-theory and the Super Helical Coordinate System proposed by Qiao Ze rely closely on supersymtry.
The difference is that in M-theory, supersymtry is a symtry that connects bosons and fermions, while in the Super Helical Coordinate System, it is more complex.
Although it can also be understood as a symtry between bosons and fermions, when it extends into the Super Helical Coordinate System. Each boson has a fermion partner and vice versa, linked through supersymtry transformations.
Qiao Ze even borrowed the concept of superspace, using a space that includes extra anti-commuting coordinates. And within the Super Helical Coordinate System, he introduced a set of superfields that are functions of the coordinates of superspace, able to describe both bosons and fermions, and through this rule, allowed for the transformation between bosonic superfields and fermionic superfields.
Thus, the conversation between the two could be seen as an interchange and clash of wisdom between the new generation and the old.
The forr possesses a young mind and agile thinking, while the latter has a wealth of experience.
This made their discussions about the world at the smallest scale increasingly interesting.
Especially the explorations in new physics at the Planck scale.
Edward Witten hoped to persuade Qiao Ze to accept his M-theory, but Qiao thought that describing the microscopic world with the vibrations of one-dinsional strings was premature.
Fortunately, after reading Qiao Ze's paper, they could agree on one point: if humans are ever to achieve gravity control and manipulation, it must be at the Planck scale.
Experints are currently impossible to yield results, but rigorous mathematical proof has shown that the direction lies at this scale...
In any case, Edward Witten has been quite content these days.
Apart from visits from Xu Dajiang and Li Jiangao on the first day, no one else had disturbed him, which even gave him a feeling of being so happy that he forgot to return ho.
Even though he had to handle several calls from the Institute for Advanced Study every day, he chose to thoroughly understand the paper before returning.
However, Edward Witten's contentnt was the result of many layers of pressure from others.
Xu Dajiang certainly wouldn't care much about that.
The news that Edward Witten would hold a specialist report eting at Xi Lin Mathematics Institute on Friday had already been announced on the official website. His presence at Xi Lin Mathematical Research Institute had also long been made known, and many people wanted to take this opportunity to visit, but they were all honestly blocked by Lv Bei.
After all, one should not make the sa mistake twice on the sa issue, right?!
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