Super God-Level Top Student

Reflecting upon these problems in the process of solving them allows for a deeper understanding of the entire theoretical system.

It's like when Qiao Ze originally invented the theory system of superspiral algebra, transcendental geometry, and Qiao Space as a whole. It was all for solving the Yang-Mills Theory and the corresponding mass gap problem.

Including solving a series of mathematical problems such as the Goldbach conjecture, the most important meaning in fact lies in the process of inventing new mathematical tools, opening up new worlds, and enabling a deeper understanding of nature.

In Qiao Ze's view, the existence of mathematics as a discipline is to provide tools and help people understand nature.

Number theory is no exception.

When using superspiral algebra to solve problems, one subconsciously delves deep into the entire theory, squeezing out all its value, until it is found that the theory cannot completely solve the problem. Then one thinks about whether a new method can be used to solve these problems.

Then mathematics can take another step forward, posing more problems while solving existing ones. In this process, humanity's understanding of nature and of the universe can deepen further, until a civilization completely understands the universe, grasping and utilizing those seemingly eternal laws.

Or before that happens, human civilization might disappear for various reasons.

Then the task would fall to other possible civilizations hidden deep within the universe to complete this process.

In Qiao Ze's eyes, this is probably the meaning of the existence and evolution of intelligent civilizations. Otherwise, it would be better for life to always stay in the primitive era of the survival of the fittest, where various animals and plants survive based on instinct. So as long as you're willing to use your brain, everything else is trivial.

The awards that bring people honor are clear evidence of this.

To maintain the strong curiosity of those smart people, wealthy and visionary individuals reward those who contribute to the advancement of science with money and honor. This ensures that in any era, there is a group of sufficiently intelligent people motivated to push the development of civilization.

From Qiao Ze's perspective, the reason for scientific research is that straightforward.

It's simply following the instinct of civilization's survival of the fittest.

Although the universe Qiao Ze imagines is not as cruel as the law of the dark forest, it's not much brighter either.

From the history of human civilization, it is evident that once life possesses intelligence, the thirst for resources becomes ingrained in its DNA.

As is known, as long as civilization continues to develop, resources will never suffice. When resources are scarce, whether to transfer conflicts or to satisfy one's own developmental needs, direct conquest is undoubtedly the most convenient and expedient path.

Peace is so precious precisely because what is etched into the genes of life cannot fundamentally change.

So if possible, Qiao Ze certainly hopes that human civilization is the one to step off Earth first in the scramble for resources.

There is no other reason; if war is inevitable, being the enslaver is naturally better than being the enslaved. At least the former retains the initiative.

Indeed, just a few decades of peace, or a mere hundred years or so, can make many people's minds begin to conceive notions of sanctity of life, with various thoughts of treating life kindly starting to overflow.

This is enough to suggest that species hatched in an environment like Earth are better off honestly being the enslavers.

After all, everyone is quite adept at courting death.

If civilization truly were to develop to the level of a cosmic civilization, war might well involve the slaughter of an entire planet's life.

Of course, these thoughts just pass through Qiao Ze's mind during the quiet of the night.

In fact, Qiao Ze hasn't considered too much about things that are too far off.

His current focus remains on the Containment Quantum Model.

Although he had accurately predicted the existence of the graviton and even designed a set of equations to describe how the Containment Graviton interacts and moves with the Higgs boson, he still hasn't been able to complete the mathematical model of the entire Containment Quantum Theory.

At present, superspiral algebra has provided his theory with a mathematical framework for handling supersymmetry, and transcendental geometry has offered a new perspective for understanding and describing the quantum structure of space-time.

However, comprehensively constructing and understanding quantum gravity within a non-perturbative framework remains an open question. Particularly at high energy or strong gravitational field limits, the non-linear nature of the theory makes it difficult to handle its complexity using superspiral algebra and transcendental geometry.

And Qiao Ze's ultimate goal is to resolve the issue of unifying the micro and macroscopic scales, which means the spacetime singularity problem predicted by general relativity must also be addressed.

For now, the supersymmetry provided by superspiral algebra and the paths offered by transcendental geometry suggest some solutions, but how to completely resolve the singularity problem without sacrificing theoretical consistency and physical observability remains a huge challenge, even for Qiao Ze.

And then there is the problem of Quantum Entanglement and space-time structure, which has fed numerous pseudoscience popularizers.

Although Quantum Entanglement and action at a distance are not as mysterious as many popularizers say and can be fully explained by current theories, theoretically, if the Containment Graviton that transmits gravity is also part of the quantum world and has the action-at-a-distance effect produced by entanglement,

Although transcendental geometry can provide new perspectives for understanding the geometry and topology of quantum states, how to accurately link graviton entanglement with the quantum geometric structure of space-time and describe their dynamic interactions continues to be a daunting and perplexing problem.