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Super God-Level Top Student-Chapter 701 - 273 Weakness and Persistence_4
In fact, for mathematics, the M-theory that posits an 11-dimensional space is equally highly abstract and built upon an extremely complex mathematical structure. Whether it is the 11-dimensional 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 Medal.
The contributions made in physics were too cutting-edge and advanced to be verified by experiments for the time 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 methods 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 method.
In constructing the Super Helical Coordinate System, Qiao Ze actually also employed some methods proposed by Edward Witten.
For instance, both M-theory and the Super Helical Coordinate System proposed by Qiao Ze rely closely on supersymmetry.
The difference is that in M-theory, supersymmetry is a symmetry that connects bosons and fermions, while in the Super Helical Coordinate System, it is more complex.
Although it can also be understood as a symmetry between bosons and fermions, when it extends into the Super Helical Coordinate System. Each boson has a fermion partner and vice versa, linked through supersymmetry 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 former 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-dimensional 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.
Experiments 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 home.
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 contentment 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 meeting 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 same mistake twice on the same issue, right?!
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