Super God-Level Top Student

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However, the contradiction lies in the fact that the Solar System has already existed stably for 4.5 billion years.

It is said that this was one of the reasons Newton began to believe in theology in his later years.

Upon discovering this problem, Newton suspected it was because of God's existence that the Solar System did not collapse. Whenever the chaotic system of the Solar System tended toward collapse, God would intervene, pushing the planets onto stable orbits, thereby ensuring the continuation of human civilization.

Therefore, this pioneer of the laws of motion and calculus wanted to prove the existence of God by calculating the time when the Solar System, as an N-body system, would have collapsed.

This is probably the truth behind the jest that the end of science is theology.

Clearly, Newton did not succeed, but many in later generations have continued to explore along the lines of thought he left behind, searching for the precise analytical solution to the N-body problem, leading to a number of discoveries. For instance, the five Lagrangian Points everyone is familiar with, of which Euler discovered three, and Lagrange discovered two.

With the invention of computers, scientists have discovered tens of thousands of periodic solutions that are stable for three-body systems. The only problem is that these systems are rarely found in the universe so far.

This is the challenge that Roth Dugan is currently tackling. Building on previous research, he aims to solve the Three-Body problem, and thereby the N-body problem.

Stripping away the physics and translating it into the language of mathematics, it amounts to finding a simpler way to precisely calculate the solutions to eighteenth-order differential equations.

As long as this step is achieved, by inputting variables such as the starting positions, velocities, and masses of celestial bodies, one could calculate their positions at any given time and map out a relatively accurate trajectory of their orbits, thus determining whether a stellar system can operate stably.

Roth Dugan has expended a great deal of effort and time in this area, and has made many achievements.

For example, just last year his team provided NASA with a model for converging trajectories of a chaotic system, and some of the periodic orbits of N-body systems which were accurately simulated using this model have actually been observed in the universe by astronomical telescopes.
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This is also why NASA continues to fund his research.

However, as research has deepened in the past two years, Roth Dugan has increasingly felt the difficulty of the proposition.

Making further progress is truly very difficult. In a sense, the unreasonableness of mathematics also stems from this.

Especially when it involves calculations of complex equations.

Roth Dugan already has a premonition that he probably won't be able to truly solve this problem in his lifetime, unless a miracle occurs.

This is also why Roth Dugan has always coveted Qiao Ze. In his view, Qiao Ze is a miracle.

He has seen many geniuses in his life, but there has been only one who has achieved so much by the age of twenty, and that's Qiao Ze. Especially after communicating with Qiao Ze through video, he was more convinced of this judgment.

Youth means endless possibilities. If he could bring this miracle to Princeton and get him interested in the N-body problem, perhaps he would see this problem that troubled Newton in the second half of his life resolved in his lifetime.

In a sense, he would also be proving mathematically whether God truly exists or ever existed.

Unfortunately, it's impossible to comprehend what that kid is thinking.

However, when reading the weekly report, Roth Dugan would not think about these irrelevancies.

This is a serious matter. If he finds any oversight, he could call the students and researchers from his group to give them a good scolding, providing them a bit of motivation to strive for excellence.

Roth Dugan's temper was never good to begin with.

After interacting with Qiao Ze for a while, his temper had worsened even further.

He now periodically finds his own students somewhat displeasing.

This has led him to even take pleasure in finding impreciseness in their weekly reports. For a renowned mathematician, even expressing anger needs a relatively rigorous reason. One can't just fly off the handle like a lunatic for no apparent reason.

So, time flew as Roth Dugan read the weekly report until someone burst into his office.

"Bang..."

"Editor Dugan..." Freya Rosa rushed in, only taking a few steps before she noticed that her usually amiable editor-in-chief had lifted his head, his eyes glaring at her over his glasses, clearly displeased with her sudden intrusion.

"God, am I really at Princeton? Even my most promising editor no longer cares about basic manners, and where the hell is Ronnie?" the old man rattled off quickly.

"Uh... sorry, Editor Dugan, but I think you definitely wouldn't want to miss seeing this paper first. It's Qiao Ze's..." Freya Rosa hurriedly said.

"Qiao Ze? He's submitted another paper? Then what are you waiting for? Hold on... why are you so excited about Qiao Ze's paper? So much so that you didn't directly forward it to me but printed it out instead to bring to me? Let me guess... This kid's new paper solves an important problem?"

Roth Dugan seemed to forget his anger in an instant, blinking his wise little eyes as he spoke.

Freya Rosa stood there nodding rapidly, truly like a hen pecking at grains.

Roth Dugan suddenly smiled and said, "Let me guess again, the reason you're so excited about his paper is..."

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