Mathematics
The Top Student's Black Tech SystemBiodata
| Feature | Value |
|---|---|
| Name | Mathematics (数学) |
| Affiliation | Black Technology System; one of its Core Sciences 2 |
| Occupation / Role | Foundational discipline that determines the level cap of every other core science 2 181 824 |
| Status | LV10; experience bar removed after reaching the system’s mathematical maximum 1113 |
| First Appearance | Chapter 2 |
Power Progression
| Stage / Realm / Level | Chapter | Notes |
|---|---|---|
| LV0 | 2 | Lu Zhou’s initial attribute panel lists Mathematics and every other science at LV0. Mathematics is identified as the foundation governing all disciplines’ maximum levels. 2 |
| LV1 | 75 | Retrospectively established as the threshold after which Lu Zhou could perceive inspiration in the Zhou’s Conjecture proof; he concludes that level growth affects research ability, not only system permissions. 75 |
| LV2 | 78 | An SCI-paper reward grants 10,000 Mathematics XP, raising the attribute to LV2 (2,000/50,000). 78 |
| LV3 | 128 | An S+ mission evaluation grants 42,000 Mathematics XP, raising Mathematics to LV3 (4,000/100,000). 128 |
| LV4 | 203 | Solving Polignac’s Conjecture grants 100,000 Mathematics XP, 1,000 points, and a draw opportunity; the next cap becomes 200,000 XP. 203 |
| LV5 | 239 | The Goldbach Conjecture task grants 200,000 Mathematics XP and raises the level to LV5 (300,000 XP cap), unlocking LV5 caps for the other disciplines. 239 |
| LV7 | 422 | A Navier–Stokes mission rated S+ grants 400,000 Mathematics XP and raises Mathematics from LV6 to LV7. 422 |
| LV8 | 609 | By this stage, Lu Zhou experiences a qualitative difference from LV7: mathematical immersion slows his perception of the outside world, reflecting a “transcendence of thought.” 609 |
| LV9 | 1026 | Proving the Riemann Hypothesis within three years awards 2,000,000 Mathematics XP and raises Mathematics to LV9. 1026 |
| LV10 | 1113 | Completing the Legendary Quest “First Stairway to the Future” through the Unification of Algebra and Geometry raises Mathematics to LV10, its maximum level. 1113 |
System Role & Mechanics
Level cap authority
Mathematics is the system’s governing core science: its level limits how far Physics, Biochemistry, Engineering, Materials Science, Energy Science, and Information Science can advance. Lu Zhou must raise Mathematics before continuing to level capped disciplines such as Physics. 2 181 824
Knowledge access
The system evaluates books through a personal “value coefficient” that changes with Lu Zhou’s mathematical level and mastery. A difficult work may gain value as his foundation improves, rather than retaining a fixed academic rating. 4 6
- Higher levels unlock deeper access to the system database. 27 239
- Accessing stored proof methods can still require points and a sufficient Mathematics level; the Beal Conjecture method, for example, requires LV2 and 5,000 points. 27
- The system does not provide open-ended guidance: Lu Zhou must identify where a problem lies before it can assist, and some questions may be inaccessible because of level or point requirements. 9 122
Research capability
Mathematics levels enhance Lu Zhou’s capacity for original work rather than simply adding information to his memory. He compares the effect to shortening the normal research time for major problems by orders of magnitude as his level rises. 75
- LV1 allows him to recognize inspirations in material he previously could not meaningfully process. 75
- At higher levels, mathematical writing and problem solving become markedly more fluent, as seen while drafting Balancing Problems in Hilbert Spaces. 139
- After LV9, increased mental endurance accompanies the upgrade, allowing him to recover from intense mathematical strain rather than collapse under it. 1026
- At LV10, even highly abstract logic becomes as clear to him as writing on paper; nevertheless, Lu Zhou deliberately avoids solving every problem himself so later mathematicians retain meaningful work. 1128
Mathematical Role in the Story
| Area | Role and developments |
|---|---|
| Number Theory | Mathematics first becomes Lu Zhou’s main path through Mersenne primes and Zhou’s Conjecture. Number Theory is portrayed as deceptively accessible but exceptionally punishing, demanding both foundation and rare talent. 7 70 |
| Mathematical Modeling | Modeling converts practical situations into mathematical language and data-driven structures. Lu Zhou applies this approach in competition problems and business-data training. 24 25 |
| Analytic Number Theory | Lu Zhou develops and extends tools involving sieve methods, topology, group theory, and the Circle Method while pursuing prime-number conjectures. 193 194 217 |
| Partial Differential Equations | Mathematics supplies the framework for Lu Zhou’s Navier–Stokes research, eventually combining PDE methods with topology through the L-manifold approach. 420 613 |
| Algebraic Geometry | The field becomes central to the Hyperelliptic Curve Analysis Method, the Riemann Hypothesis, the Standard Conjectures, and the eventual unification of algebra and geometry. 865 1026 1119 |
| Physics | Mathematics serves as the essential language for Lu Zhou’s work on Yang–Mills equations, strong interactions, hyperspace models, and the Z particle. 627 1150 |
Landmark Results
| Result | Significance |
|---|---|
| Zhou’s Conjecture → Zhou’s Theorem | Lu Zhou’s proof concerning the distribution of Mersenne primes is verified internationally and published in Annals of Mathematics, bringing him major public and academic recognition. 79 |
| Twin Prime Conjecture | Lu Zhou publicly attempts the proof at a conference, disregarding normal presentation limits; the resulting work earns elite scholarly recognition and an S+ system reward. 124 128 |
| Polignac’s Conjecture | His Group-Structure Method and published proof complete a system mission and elevate Mathematics to LV4. 193 203 |
| Goldbach Conjecture | Solving Goldbach’s Conjecture raises Mathematics to LV5 and becomes the basis for later methods used against other additive-number-theory problems. 239 267 |
| Navier–Stokes Equations | Lu Zhou proves existence and smoothness for 3D incompressible Navier–Stokes solutions, using PDEs and topology together through an L-manifold. 420 422 |
| Yang–Mills Equations | After establishing existence results, Lu Zhou presents a general solution and declares the next target to be the mass-gap problem. 613 623 627 |
| Riemann Hypothesis | Using the Hyperelliptic Curve Analysis Method, Lu Zhou constrains the Critical Strip to the Critical Line and completes the most important proof of his career. 1026 1031 |
| Unification of Algebra and Geometry | His Grand Unified Theory makes algebraic and geometric problems transformable into one another, then immediately demonstrates its power by proving the Standard Conjectures. 1112 1119 |
| ABC Conjecture | Lu Zhou, Scholze, Perelman, and Mochizuki combine their work into a complete proof after first publishing a weak form. 1387 |
Relationships
- Lu Zhou — Mathematics begins as his reassigned major and becomes his chosen lifelong field after he develops a genuine interest in research. 2 629 823
- Black Technology System — tracks Mathematics as a core-science attribute, grants XP for mathematical tasks, and restricts other disciplines according to its level. 2 239 1113
- Physics — Mathematics provides the language and theoretical machinery for Lu Zhou’s work beyond the Standard Model, including the Yang–Mills and Z-particle research. 627 1150
- Other Core Sciences — their maximum attainable levels remain dependent on Mathematics, making it the required first path toward the system’s “Future Era.” 181 824
- Future mathematicians — Lu Zhou views Mathematics as a continuing discipline rather than a collection of problems for one person to finish; he intentionally leaves new conjectures and open directions for others. 1111 1128
Philosophy and Significance
- Mathematics is treated as both pure inquiry and a practical tool: it can model real-world problems, support other sciences, and transform technology beyond the “ivory tower” of Number Theory. 24 259 1330
- Lu Zhou teaches that Number Theory may appear “old” or “meaningless,” yet it contains foundational treasures whose value can emerge unexpectedly. 579
- The Riemann Hypothesis is described as a bridge between algebra and geometry; its proof is presented as opening a path toward their eventual unification. 1026
- The Grand Unified Theory reframes Mathematics as an expandable framework in which solving old problems produces new ones rather than ending the discipline. 1111
- Mathematics is ultimately characterized as the universal language of the universe: unlike customs or material objects, it provides a common basis through which civilizations could communicate. 1160 1162