Acknowledgement

这是本科论文的致谢，写了大量非常抽象的内容

具体时间也不记得了，后来可能还改了好几回

I extend my deepest gratitude to Assistant Professor Fan Yuwei for his scholarly guidance and steadfast supervision throughout this research endeavor. Special appreciation is owed to Assistant Professors Yu Chenglong and Zheng Zhiwei, Associate Professor Donovan William Ross Goodchild, and Professor Qiu Yu for their domain-specific insights, which profoundly enriched my academic journey.

The mentorship of Assistant Professor Huang Yi, Professor Li Si, Akito Futaki, and Yang Xiaokui transcended the mere transmission of theorems. My profound gratitude extends to Tsinghua University and Qiuzhen College for cultivating an intellectually vibrant environment that nourished the genesis of this work. Professor Shing-Tung Yau’s visionary leadership and unwavering support have been a beacon of inspiration. I further acknowledge the indispensable contributions of faculty and staff to administrative and logistical operations.

I owe a profound debt of gratitude to my family. To my parents, whose gift of life and sacrifice nurtured me through childhood, whose steadfast support anchored me during storms, and whose unwavering concern for my well-being reminded me that humanity transcends scholarship—this work stands as a testament to your invisible hands shaping every page.

To my colleagues Jin Baizhou, Liang Shiyixin, and Xie Baiting, I express sincere appreciation for their scholarly collaboration, and to Wang Zichang for his meticulous assistance in $\LaTeX$ typesetting. Within the academic and extracurricular tapestry of Tsinghua, I am indebted to colleagues and mentors, notably Chen Shuang, Cheng Ziyu, Fan Jiaxuan, Wang Jinyi, Wang Mingwei, Yang Bokai, Yang Haoze, Yang Yiyang, Zhang Kaijie, the Qiuzhen College basketball team and Jisedai Galgame Club. Their camaraderie and the sustenance provided by campus facilities—particularly Guanchouyuan Dining Hall, Dingxiangyuan Dining Hall, Qingqing Fast Food and the Fitness Center—have been vital to this journey.

I reflect with gratitude upon the formative influences of educators and peers from Kunyang Town Central Kindergarten, Kunyang No.2 Primary School, Wenzhou School Affiliated to BFSU, and Zhejiang Yueqing Zhilin High School, especially Huang Hai, Jiang Taihuang, Yang Mingliang, Zhang Lining, and classmates and friends such as Hu Zheqi, Ke Youyi, Mao Tianyu, Tang Zhiyang, Wu Fanghao, Xiang Ding, Xiao Weixiao, Xu Chuzhao, Ye Zhuhao, Ye Zining, Zhang Haocheng, Zhang Hongming, Zhang Yinuo, and Zhou Pinliang. The days we lived through together forged the alloy of my being.

To Alexandre Grothendieck, Amiya, Angangdumiao P, Aoki Hina, Asimov Isaac, Banya Izumi, Ceobe, Chtholly Nota Seniorious, Furukawa Nagisa, Grant Sanderson, Hatsune Miku, Hegel Georg Wilhelm Friedrich, He Zhanhao, Hinoue Itaru, Ichihara Yuuko, Ichinose Kotomi, Ijichi Nijika, Immanuel Kant, Itsuki Kise, Jay Chou, J.P. Sartre, J.P. Serre, J.K. Rowling, Kamiyama Shiki, Karl Marx, Kazamata Neri, Kodaira Kunihiko, Li Bai, Li He, Li Wenwei, Li Yupei, Liu Cixin, McMillen Edmund, Menyouzyan, Michael Artin, Miyazaki Hayao, Morris Kline, Na-Ga, Nakano Azusa, Naruse Shiroha, Nōmi Kudoryafuka, Niijima Yuu, Orito Shinji, Sakura Kinomoto, Shinkai Makoto, Siegel Carl Ludwig, Tachibana Kanade, Tolstoy Leo, Tsumugi Wenders, Urobuchi Gen, Xin Qiji, Yamada Naoko, Yihou Daren, Yoshioka Yui, Yui Saotome, Yuizaki Kazuya and Zhang Beihai, whose encounters illuminated the interminable dark nights, I pay homage to their enduring or transient light.

Also to the world and all who inhabit it: thank you for bearing witness to my chaos—ignorance, greed, whimsy, vanity, sloth, gluttony, carnality, recklessness, arrogance, cowardice, pretension, self-doubt, indecision—and for teaching me, through collision and coexistence, humor, clarity, grit, reflection, critique, pragmatism, audacity, candor, restraint, and swagger.