矢量宇宙论：从“一“开始的递归分解

副标题：Vector Cosmology: The Recursive Decomposition from The One

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版本信息

Version: 1.0

Status: Initial Release

前言

• 前言：寻找缺失的几何 (Preface: In Search of the Missing Geometry)

序言

• 序言：无极

书籍结构

第1章：太初有圆

• 1.1 第一次正交分解 (The First Orthogonal Decomposition)
• 1.2 毕达哥拉斯的宇宙回响 (The Pythagorean Echo of the Universe)
• 1.3 三重隐喻 (The Triple Metaphor)

第2章：速度的贫困

• 2.1 相对论的真相：时间膨胀即预算耗尽 (The Truth of Relativity: Time Dilation as Budget Exhaustion)
• 2.2 狄拉克圆 (The Dirac Circle)
• 2.3 质量即冻结的资产 (Mass as Frozen Assets)

第3章：引力的重构：市场的扭曲

• 3.1 垄断者 (The Monopolist)
• 3.2 引力即熵力 (Gravity as Entropic Force)

第4章：离散的心跳

• 4.1 像素化的世界 (The Pixelated World)
• 4.2 光速的微观来源 (The Microscopic Origin of Light Speed)
• 4.3 拒绝无穷大 (The Denial of Infinity)

第5章：下垂的圆

• 5.1 洛伦兹对称性的破缺 (The Breaking of Lorentz Symmetry)
• 5.2 信息速度圆实验 (The Information-Velocity Circle Experiment)
• 5.3 区分真实与噪音 (Distinguishing Reality from Noise)

第6章：被卷曲的维度

• 6.1 递归的级联 (The Recursive Cascade)
• 6.2 复杂的折纸 (The Complex Origami)
• 6.3 力的交易 (The Transaction of Forces)

第7章：$\pi$ 的全息代码

• 7.1 莱文森之结 (The Levinson Knot)
• 7.2 所有的信息都在圆中 (All Information is in the Circle)
• 7.3 物质即计数 (Matter as Counting)

第8章：物质即拓扑

• 8.1 能量空间的几何 (Geometry in Energy Space)
• 8.2 时间延迟的意义 (The Meaning of Time Delay)
• 8.3 负时间的解毒剂 (The Antidote to Negative Time)

第9章：被遗忘的扇区

• 9.1 完美的圆破裂了 (The Perfect Circle Ruptured)
• 9.2 隐形税收 (The Invisible Tax)
• 9.3 热力学之箭 (The Thermodynamic Arrow)

第10章：逆流的圆：生命

• 10.1 负熵飞地 (The Negentropy Enclave)
• 10.2 熵限速公理 (The Entropic Speed Limit Axiom)

第11章：观察者：宇宙的自指

• 11.1 递归的闭环 (The Recursive Loop)
• 11.2 坍缩与审计 (Collapse and Audit)

第12章：归一

• 12.1 我心即宇宙 (My Mind is the Universe)
• 12.2 道即是圆 (The Dao is the Circle)
• 12.3 终极宣言 (The Final Manifesto)

附录

• 附录 A：Fubini-Study 度量与速度公式 (Appendix A: Fubini-Study Metric and Velocity Formula)
• 附录 B：量子速度极限的几何推导 (Appendix B: Geometric Derivation of Quantum Speed Limits)
• 附录 C：熵速极限的详细推导 (Appendix C: Entropic Speed Limit: Detailed Derivation)
• 附录 D：QCA 实现与 Lieb-Robinson 界 (Appendix D: QCA Realisation and Lieb-Robinson Bounds)
• 附录 E：窄带散射与 FS 距离推导 (Appendix E: Narrow-Band Scattering and FS Distance Derivation)
• 附录 F：FS-莱文森关系与拓扑计数 (Appendix F: FS-Levinson Relation and Topological Counting)

参考文献

• 参考文献 (Bibliography)

术语表

• 术语表 (Glossary of Terms)

致谢

• 致谢：站在几何的肩膀上 (Acknowledgements: Standing on the Shoulders of Geometry)

后记

• 后记：设计师的视角 (Afterword: The Designer’s View)

番外篇

• 番外篇：轮回与升维——圆还是螺旋？ (Bonus Chapter: Samsara and Ascension — Circle or Spiral?)

Documentation Version: 1.0

Last Updated: Initial Release