The Genius System-Chapter 57: Tea and Mathematics

Note : Thank you so much to everyone who has taken the time to read and support this novel. Your encouragement, comments, and feedback mean the world to me. This story is only just beginning, and I promise to keep delivering chapters filled with intrigue, humor, and surprises.

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The sun had set over Macro, leaving a sky scattered with stars. The streets of the capital still buzzed with the aftermath of negotiations with foreign delegations. In newspapers and on news channels, debates raged about the future of NOVA-1 technology and rising tensions with the United States.

In his office, Lassen was slouched in his chair, a novel in hand. His cup of cold tea sat within arm’s reach, untouched.

The silence was broken by the familiar voice of the system.

[Host.]

Lassen lazily turned a virtual page before responding in a tired tone.

"I’m busy."

[Reading a fantasy romance about a misunderstood and overpowered hero? Very productive.]

Lassen smirked.

"You’ll never understand the importance of good character development. Now, what’s so urgent?"

[Host, update on the global situation. I recommend you review it.]

Lassen groaned without looking up.

"Am I supposed to be impressed?"

[If not, why did you ask me to tell you?]

He rolled his eyes.

"Alright, fine, you win. Go ahead."

[The United States has formalized its new sanctions against Macro and its partners. Europe is still debating, but several countries are quietly proposing collaborations to bypass the restrictions. China and Russia have started transferring funds for investments.]

"So?"

[So, Macro is about to become the center of a geopolitical chessboard where you’re the king.]

Lassen finally put down his book, glancing at the screens with mild irritation.

"Should I be worried or proud?"

[It depends on your ego. Do you want to be admired or feared?]

"Both, but I’d still rather read my novels in peace." Lassen smiled and picked up his book again. "Keep monitoring the situation. Call me if they decide to start a nuclear war."

[That would be a dramatic way to end the story.]

Lassen chuckled softly.

He slowly closed his book and leaned back in his chair with a satisfied smile.

"Not bad."

[Another misunderstood hero who saves the world and gets the girl?]

Lassen ignored the system’s remark, his thoughts already elsewhere. His eyes landed on the holograms still floating in the room, streams of news and financial data scrolling at a hypnotic pace.

"System, remind me of something."

[What kind of ’something’?]

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"The Collatz Conjecture."

[Ah, your first ’mathematical victory.’ The one that made you famous as Mr. X.]

Lassen tilted his head back. "Yeah. Everyone thought it was unsolvable, and yet..."

[And yet, you asked the system for a simulation, then announced the solution as if it were your own idea.]

Lassen shrugged. "Details don’t matter."

[But your ego does.]

He ignored the jab again, now fixating on another screen displaying a list of unresolved mathematical and physics problems. Familiar names scrolled by—Goldbach’s Conjecture, the Riemann Hypothesis, the Navier-Stokes Equations...

He stopped at one of the titles. "That one. The Birch and Swinnerton-Dyer Conjecture."

[Seriously? You really want to tackle that now?]

"Why not?" Lassen stretched and walked over to pour himself a cup of tea. "People think I’m an inventor, a technologist... I’ll remind them that I can also be an academic. And solving another mathematical problem that’s tormented them for decades can only add to the legend."

[Or fuel their hate and frustration.]

"Exactly."

[It’s a problem about elliptic curves and their behavior. Even the best mathematicians have barely scratched the surface. Are you really planning to steal more glory from them?]

"Isn’t that my job? Let others sweat for years while I show up like a walking miracle."

[You’re so humble.]

"And you’re supposed to help me, not judge me."

[Except I’m doing both.]

"Alright, system. I know you’re supposed to be smart, but explain it to me like I’m an idiot. What exactly is the Birch and Swinnerton-Dyer Conjecture?"

The system responded immediately, projecting simplified diagrams.

[The Birch and Swinnerton-Dyer Conjecture deals with elliptic curves. Simply put, it studies the relationship between two concepts—the rank of an elliptic curve and a special function called the L-function.]

"Go on."

[Elliptic curves are mathematical objects defined by equations like:

y² = x³ + ax + b.

They’re used in cryptography and other complex fields.]

Lassen raised an eyebrow. "And why have people obsessed over this for decades? What’s so special about it?"

[The challenge is determining how many rational solutions—points with fractional coordinates—exist on such a curve. The conjecture suggests this number is tied to how a certain function, the L-function associated with the curve, behaves when evaluated at 1.]

"In plain terms?"

[If the L-function equals zero at 1, there are infinitely many rational solutions. Otherwise, there’s only a finite number.]

Lassen leaned back, spinning his pen between his fingers as he stared at the holographic projections. Complex graphs of elliptic curves floated in mid-air, pulsing softly with lines and equations.

"Okay, system, break it down even further. Start from the basics. What’s an elliptic curve again?"

[An elliptic curve is a type of mathematical object described by a specific equation of the form:

y² = x³ + ax + b

where a and b are constants. It looks simple, but these curves have fascinating properties that connect algebra, geometry, and number theory.]

Lassen raised an eyebrow. "And these curves matter because…?"

[They’re used in cryptography, integer factorization, and even in the proof of Fermat’s Last Theorem. Their geometry makes them incredibly versatile. For example, their points can be added together using a special rule, forming a group structure.]

"So, they’re like mathematical playgrounds where geniuses get stuck for years?" Lassen smirked.

[Or centuries. The Birch and Swinnerton-Dyer Conjecture focuses on the rational points of these curves—the solutions where both x and y are fractions or whole numbers. Some partial results have been proven, but the full proof remains out of reach.]

Lassen tapped his fingers against the table. "And the L-function? What makes it so mysterious?"

[Think of the L-function as a mathematical fingerprint that encodes information about the curve. It’s built using data from prime numbers associated with the curve.]

"Prime numbers again? Why do they keep showing up in everything?"

[Because primes are the building blocks of integers. They’re fundamental, like atoms in chemistry. In this case, they help define patterns in the behavior of elliptic curves.]

Lassen leaned closer, intrigued. "So, this conjecture is saying the L-function is the key to unlocking the number of rational points?"

[Exactly. The conjecture proposes that the behavior of the L-function near the value 1 determines whether the elliptic curve has infinite or finite rational solutions.]

"And if the L-function equals zero at 1, there are infinite solutions. If it doesn’t, the solutions are finite."

[Correct. But proving this has stumped mathematicians for over half a century.]

Lassen smiled. "Not anymore, I love impossible challenges."

[Correction: ’impossible for them.’ I already found the solution.]

Lassen set his cup down, intrigued "Really? And how did you do it?"

The system projected a series of complex equations.

[I generated and tested millions of elliptic curves, analyzed their behaviors, and calculated their L-functions using machine learning models and quantum simulations. After identifying recurring patterns, I reduced critical variables until isolating a mathematical constant tied to the zeros of the L-function.]

Lassen stared at the holograms, the numbers dancing before his eyes "So you just... calculated until everything fit?"

[In simple terms, yes. But I also used adaptive approximation methods based on fractals to handle edge cases.]

"Of course, why not."

He burst out laughing before straightening up.

"And you think they’ll understand this explanation if they ask how I solved it?"

[No. But you can always say you had a revelation during a walk.]

Lassen grinned.

"Or while drinking tea."

[Note added: Develop a philosophical justification about mathematical inspiration and epiphanies.]

"Prepare a full report with accessible explanations. We’re going to present this as a poisoned gift."

The system beeped in confirmation [Report generation in progress. You’re about to break the academic world again.]

Lassen crossed his arms as the system displayed the finalized equations.

"You know" Lassen said, "what I like most about this conjecture?"

[That it’s impossible for most people?]

"No." Lassen smirked. "It’s that it shows how math isn’t just numbers. It’s patterns, predictions, and puzzles. And when you finally crack one, you’re not just solving equations—you’re rewriting the rules of the universe."

[Inspirational. Should I add that quote to your report’s preface?]

"Make it the opening line. Send it. Schedule the submission to the top mathematical journals."

[Submission completed. Estimated time for initial reactions: 12 to 24 hours.]

Lassen stood up and stretched "You know what? I think I’ll relax and read another novel while the world implodes."

[Or you could start thinking about your next problem.]

Lassen smirked "I think I’ll let the world catch its breath before I start again."

He grabbed a book from his desk and settled in comfortably.