Super God-Level Top Student

Although there were many aspects of Roth Dugan that prompted criticism, Edward Witten still answered the phone.

It seems that everyone has someone like that in their life: despite finding them annoying, you can't help but pay attention when they come looking for you.

"Hello."

"Guess who just called me?"

"I'd rather not." Edward Witten answered succinctly.

"Ha, you're still as dull as ever, Edward. It's Qiao, he talked to me about some really interesting stuff. If it had been anyone else, I would have taken it as a joke, but since it's him... well, I admit, I believed it."

"Qiao Ze?" Edward Witten glanced at the notes on his office desk and became intrigued, "Don't tell me he's actually completed that missing mathematical proof based on his previous idea, rather than just giving us a conjectured result."

"BINGO! Or should I say, wishful thinking come true? That's exactly what he said! I guess Qiao Ze might have referred to your M-theory when constructing his mathematical theory. For example, he just predicted that the wave function Ψ of a graviton should exist in an n-dimensional space where n is greater than four."

Upon hearing this, Edward Witten once again looked at the latest lab records summarized in the manuscript on his desk.

"Energy asymmetry: in collision events, about 5.32% of the energy displays asymmetry."

This in itself suggested the possibility of high-dimensional influences; otherwise, the energy detected in the closed collider space should be symmetrical.

This is also one of the theoretical assumptions of string theory.

In the High Energy Laboratory, if some energy leaks into extra dimensions that humans have not yet directly observed, it might be possible to observe phenomena that seem to violate the conservation of energy in four-dimensional space-time.

This energy asymmetry could be suspected as indirect evidence for the existence of extra dimensions.

Of course, this is merely theoretical.

The reason string theory has not been widely accepted in academia is that modern technological means cannot verify it through experiments.

Although the theory Qiao Ze provided was vastly different from string theory, it similarly posited that gravitons would exchange energy with high-dimensional spaces that are temporarily unobservable by humans. If the results are valid, it could mean a lot, such as reinterpreting the composition of the universe or even deducing the shape and structure of the universe.

Of course, more problems would follow.

A normal three-dimensional wave function only depends on three spatial coordinates and time, but when considering additional spatial dimensions, the wave function must also be defined in these extra dimensions, implying that its mathematical form would become even more complex.

For instance, if gravitons are particles in a five-dimensional space, then their wave function would be a function of five spatial dimensions plus the time dimension, that is, Ψ(x1, x2, x3, x4, x5, t). This function would have to satisfy a higher-dimensional Schrödinger equation.

Dealing with such high-dimensional wave functions is also exceedingly complicated.

Firstly, with every additional dimension, the system's degree of freedom increases by one. It is evident that this would lead to a significant increase in the amount of information required to describe the system. This increase in information suggests that particle dynamics show new characteristics in high dimensions, which are also unobservable.

Edward Witten even doubted whether current supercomputing technology could handle such complex data.

Moreover, considering interactions, a high-dimensional Schrödinger equation would become even harder to solve, which would also exponentially increase the difficulty of understanding and explaining this type of high-dimensional particle behavior pattern.

To sum up, if Qiao Ze's theory holds true, then it would open up a new door to mathematics and physics. It would also infinitely raise the bar for studying theoretical physics, and it is very likely that academia would be presented with a multitude of new insurmountable problems.

For instance, several theoretical issues that could rival the mass gap problem were now emerging in Edward Witten's mind.

The existence and uniqueness of the global solution to the multi-dimensional quantum gravity wave function?

The relationship between the time evolution of the wave function and the topological structure of high-dimensional space?

How to mathematically handle the normalization problem of such high-dimensional wave functions?

How to describe the geometrization and topological classification issues of high-dimensional quantum fields?

How to construct a mathematical model for high-dimensional quantum gravity theory that could be used to describe the physical processes involving the Containment Graviton in high dimensions?

...

If given enough time, Witten could come up with many more similar questions. This is the dilemma faced by theoreticians when a sudden breakthrough occurs in fundamental theory.

Every time they solved one problem, a plethora of even more troublesome issues would arise, demanding their consideration and resolution.

In this regard, the saying that whenever humans think, God laughs, seems quite reasonable.

From what he could see, to start addressing these issues, one needed not just a proficient grasp of traditional quantum mechanics theory, high-dimensional geometry, partial differential equations, functional analysis, and topology, but also a deep understanding of Qiao Ze's methods, especially the complete digestion and understanding of the Super Helical Coordinate System and beyond-space.

The need to resolve large-scale theoretical problems was expanding, including but not limited to the global properties of high-dimensional quantum geometry, potential singularities, continuous and discrete transformations between high-dimensional quantums geometries, as well as the consistency conditions of the corresponding physical theories of these high-dimensional geometries.

Really, just the thought of these issues was enough to feel like his brain was about to explode.

This made him eager to see Qiao Ze's detailed argument.