[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"origin-technology-invades-the-modern-world":3,"chapter-technology-invades-the-modern-world-technology-invades-the-modern-world-chapter-50":6},{"origin":4,"title":5},"chinese","Technology Invades the Modern World",{"chapter":7,"nextChapterSlug":19,"prevChapterSlug":20,"totalChapters":21,"novelImage":22},{"id":8,"novel_id":9,"title":10,"slug":11,"index":12,"content":13,"wordcount":14,"created_at":15,"updated_at":15,"volume":16,"translator":17,"content_hash":18},2269534,4430,"Chapter 50","technology-invades-the-modern-world-chapter-50",50,"\u003Cp>\"I apologize; I know since I came to Xiangjiang, everyone has been eagerly anticipating a more specialized academic lecture from me here.\"\u003C\u002Fp>\n\u003Cp>\"I’ve always been preparing for this. I chose today for this lecture solely because I wanted the young people in my seminar from Xiangjiang to understand its content and find directions of interest from the topics I present, so they can produce valuable work.\"\u003C\u002Fp>\n\u003Cp>In the lecture hall of Xiangjiang University, compared to the sparse handful of attendees in the past month, this time the room was packed.\u003C\u002Fp>\n\u003Cp>Besides local Xiangjiang mathematicians, there were mathematicians from across Asia, with the largest delegations coming from Nihon and India.\u003C\u002Fp>\n\u003Cp>Nihon’s rapid postwar economic recovery, coupled with Kunihiko Kodaira’s 1954 Fields Medal, created a strong mathematical atmosphere there.\u003C\u002Fp>\n\u003Cp>Kodaira’s research focused primarily on complex algebraic geometry, which overlaps extensively with the Langlands Program.\u003C\u002Fp>\n\u003Cp>As a result, led by Kodaira, a group of mathematicians from Tokyo University, Kyoto University, and Osaka University came to Xiangjiang University, hoping to communicate directly with Lin Ran.\u003C\u002Fp>\n\u003Cp>You won’t come to Nihon? Then we’ll come to Xiangjiang.\u003C\u002Fp>\n\u003Cp>India’s presence stems from Ramanujan; its mathematical research centers on number theory and statistics, and Fermat’s Last Theorem is the crown jewel of number theory.\u003C\u002Fp>\n\u003Cp>They too desperately wished to communicate directly with Lin Ran.\u003C\u002Fp>\n\u003Cp>The lecture hall was filled with people; Xiangjiang reporters who had rushed to the scene stood at the back taking photos, already drafting headlines: “The Glory of the Chinese People Gives His First Lecture in Xiangjiang, Drawing Mathematicians from Across Asia to Pay Homage.”\u003C\u002Fp>\n\u003Cp>To Xiangjiang media, even though Kodaira had won the Fields Medal, his status was certainly inferior to Lin Ran, who had proven Fermat’s Conjecture.\u003C\u002Fp>\n\u003Cp>\"I believe those of you who traveled far to attend my lecture are already familiar with Fermat’s Conjecture and its proof.\"\u003C\u002Fp>\n\u003Cp>\"I intend to build upon Fermat’s Conjecture to present my new conjecture.\"\u003C\u002Fp>\n\u003Cp>\"First, I’ll begin with Fermat’s work on Diophantine problems.\"\u003C\u002Fp>\n\u003Cp>Lin Ran was ruthlessly exploiting Fermat.\u003C\u002Fp>\n\u003Cp>The Diophantine problem, posed by the ancient Greek mathematician Diophantus, asks: find four rational numbers such that the product of any two, plus one, is the square of a rational number.\u003C\u002Fp>\n\u003Cp>Fermat found a positive integer solution {1, 3, 8, 120}, and then asked: can a fifth integer be added to this set so that the new set still satisfies the Diophantine condition?\u003C\u002Fp>\n\u003Cp>\"I can prove Fermat’s Diophantine conjecture on just one sheet of paper.\"\u003C\u002Fp>\n\u003Cp>The mathematicians in the audience erupted in shock—though Fermat’s Diophantine conjecture was less famous than Fermat’s Last Theorem, it had plagued the mathematical community for centuries without solution.\u003C\u002Fp>\n\u003Cp>And now you claim you can prove it on one sheet? That’s absurd.\u003C\u002Fp>\n\u003Cp>\"The general process is this: first construct the Diophantine equation, then transform it into a Pell equation, and finally apply the theory of linear forms in logarithms to eliminate all other solutions.\"\u003C\u002Fp>\n\u003Cp>The Indian mathematicians in the front row couldn’t hold back anymore and raised their hands in protest: \"Professor Lin, what exactly is this theory of linear forms in logarithms?\"\u003C\u002Fp>\n\u003Cp>\"I’ve never heard of this theory before.\"\u003C\u002Fp>\n\u003Cp>\"Neither have I.\"\u003C\u002Fp>\n\u003Cp>Murmurs spread through the audience; Chen Jingrun had already realized what Lin Ran was about to present.\u003C\u002Fp>\n\u003Cp>\"That’s right—I’ll now continue with the theory of linear forms in logarithms.\"\u003C\u002Fp>\n\u003Cp>\"We are given algebraic numbers α₁, α₂......\"\u003C\u002Fp>\n\u003Cp>\"This theory extends Gelfond and Schneider’s work on transcendental numbers, broadening the scope to linear combinations of multiple logarithms.\"\u003C\u002Fp>\n\u003Cp>\"Additionally, I’ve improved classical techniques in Diophantine approximation, enabling everyone to use this method to estimate lower bounds of linear forms.\"\u003C\u002Fp>\n\u003Cp>The room erupted in applause—every one of them was a mathematician, and they all knew how powerful this was.\u003C\u002Fp>\n\u003Cp>One could say that if Lin Ran’s method has no flaws, this so-called theory of linear forms in logarithms will become a powerful tool in modern number theory, capable of resolving countless problems in Diophantine analysis and transcendental number theory.\u003C\u002Fp>\n\u003Cp>\"This method transforms abstract number-theoretic problems into computable operations, linking parts of the Langlands Program.\"\u003C\u002Fp>\n\u003Cp>Because Fermat’s Last Theorem’s proof relied on the Taniyama-Shimura Conjecture, Shimura Goro, who had just become an associate professor at Tokyo University, had come with the rest of the Tokyo delegation to Xiangjiang.\u003C\u002Fp>\n\u003Cp>Sitting in the lecture hall, Shimura Goro felt Lin Jun was nothing short of divine; the light from the window behind him bathed Lin Ran in what seemed like divine radiance.\u003C\u002Fp>\n\u003Cp>He thought: “Lin Jun no longer settles for making conjectures—he’s building tools, is he connecting the full map of mathematics he’s laid out?”\u003C\u002Fp>\n\u003Cp>“No wonder he’s called the Gauss of our age.”\u003C\u002Fp>\n\u003Cp>Not only Shimura Goro was awestruck—every number theorist in the room was equally in awe.\u003C\u002Fp>\n\u003Cp>Lin Ran continued: \"And now, the most important part of today’s lecture: the theory of linear forms in logarithms, beyond proving Fermat’s Diophantine conjecture, serves a far greater purpose—it supports my new conjecture.\"\u003C\u002Fp>\n\u003Cp>\"I name it the ABC Conjecture.\"\u003C\u002Fp>\n\u003Cp>The very ABC Conjecture that Mochizuki Shinichi claimed to have proven.\u003C\u002Fp>\n\u003Cp>After Lin Ran’s detailed exposition of the ABC Conjecture, the audience burst into applause—this lecture had been overwhelmingly rich.\u003C\u002Fp>\n\u003Cp>First, Fermat’s Diophantine conjecture was proven; then Lin Ran introduced a new method in number theory; finally, he unveiled a conjecture that looked impossibly difficult.\u003C\u002Fp>\n\u003Cp>\"I conceived the ABC Conjecture because it implies a simpler proof path for Fermat’s Last Theorem; intuitively, I feel it’s even harder than Fermat’s Last Theorem.\"\u003C\u002Fp>\n\u003Cp>\"Moreover, it connects multiple branches—including prime distribution, Diophantine equations, and modular forms—and is key to understanding the essence of integers.\"\u003C\u002Fp>\n\u003Cp>The lecture, including the Q&A, lasted three full days.\u003C\u002Fp>\n\u003Cp>None of the Asian mathematicians could escape the swift feet of Xiangjiang reporters.\u003C\u002Fp>\n\u003Cp>“Lin Jun is the greatest mathematician in Asia; his achievements in mathematics far surpass mine.” — Kunihiko Kodaira’s exact words.\u003C\u002Fp>\n\u003Cp>On Xiangjiang newspapers, it became: “Nihon’s Mathematical Emperor Claims He Wanted to Kneel Before Professor Lin.”\u003C\u002Fp>\n\u003Cp>Kodaira, if he saw it, would be stunned—when did I become Nihon’s Mathematical Emperor? When did I ever want to kneel?\u003C\u002Fp>\n\u003Cp>The rumor was even accompanied by a photo, greatly increasing its credibility.\u003C\u002Fp>\n\u003Cp>After the lecture, the Nihon delegation strongly insisted on hosting Lin Ran for dinner, with Kodaira leading the group in a ninety-degree bow.\u003C\u002Fp>\n\u003Cp>Nihon’s face-saving rituals were truly impressive.\u003C\u002Fp>\n\u003Cp>The Xiangjiang reporters happened to capture it.\u003C\u002Fp>\n\u003Cp>As a result, this rumor later gained widespread belief on Chinese-language internet forums, and in mathematical folklore, it evolved into: “Lin Ran shook his mighty frame, and Kodaira surrendered at the sight.”\u003C\u002Fp>\n\u003Cp>Lin Ran had already prepared an excuse—he declined the Nihon delegation’s invitation, saying he needed to treat his students to dinner and was unavailable.\u003C\u002Fp>\n\u003Cp>During the meal, Lin Ran accepted every request from the local Xiangjiang students for recommendation letters.\u003C\u002Fp>\n\u003Cp>Only Chen Jingrun’s request to pursue a Ph.D. in mathematics under him at Columbia University genuinely surprised him.\u003C\u002Fp>\n\u003Cp>\"Dehui, you have great talent. Starting this fall, I Kongpa  won’t have much time to teach you personally. How about I recommend you to study under Harvey Cohn for your Ph.D.?\"\u003C\u002Fp>",1168,"2026-06-19T21:37:46.551Z",1,"Qwen3-Next 80B","6a6270c0df3b95da3dcb4afba0cf8d2423527db7da5618e7e6ebf8b1f520ac79","technology-invades-the-modern-world-chapter-51","technology-invades-the-modern-world-chapter-49",162,"https:\u002F\u002Fnovelzhen.com\u002Fimages\u002Fcovers\u002Ftechnology-invades-the-modern-world-cover.jpg"]