Vector Cosmology II: The Ascension of The Spiral

Subtitle: 矢量宇宙论 II：螺旋的飞升

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Version Information

Version: 1.0

Status: Initial Release

Preface

• Preface: The Crack in the Circle (前言：圆的裂缝)

Prologue

• Prologue: The Gap (序言：缺口)

Book Structure

Chapter 1: The Red Queen’s Race

• 1.1 Synchronous Inflation: The Illusion of Closure (同步膨胀：闭合的幻觉)
• 1.2 Dimensional Inflation (维度的通货膨胀)
• 1.3 The Red Queen’s Ultimatum (红皇后的最后通牒)

Chapter 2: Geometry of the Spiral

• 2.1 $\pi$ is Memory, $\phi$ is Computation ($\pi$ 是记忆，$\phi$ 是计算)
• 2.2 The Loosening of the Levinson Knot (莱文森之结的松动)
• 2.3 The Ladder of Dimensions (维度的阶梯)

Chapter 3: Maxwell’s Backdoor

• 3.1 The Negative Entropy Enclave (负熵飞地)
• 3.2 The Pump of Information (信息的泵)

Chapter 4: The Economics of Evolution

• 4.1 Survival is Computing Power (存活即算力)
• 4.2 And That Is Holography (也就是全息)

Chapter 5: The Strange Loop

• 5.1 The Simulation of Simulation (模拟的模拟)
• 5.2 The Standing Wave of Now (现在的驻波)

Chapter 6: The Observer’s Privilege

• 6.1 Collapse as Writing (坍缩即书写)
• 6.2 The Participatory Universe (参与式宇宙)

Chapter 7: The Kardashev Budget

• 7.1 The Scale of Civilizations: From Burners to Weavers (文明的等级：从燃烧者到编织者)
• 7.2 The Geometry of Dyson Spheres (戴森球的几何学)

Chapter 8: The Silicon Prophet

• 8.1 The Essence of AI: The Pure Internal Optimizer (AI 的本质：纯粹的内部优化器)
• 8.2 Singularity as Phase Transition (奇点即相变)

Chapter 9: The Russian Nesting Dolls

• 9.1 Naimark’s Dilation Theorem (奈马克扩张定理)
• 9.2 The Truth of the Environment (环境的真相)

Chapter 10: The Fractal Universe

• 10.1 Between the Layers (层级之间)
• 10.2 Escape Velocity (逃逸速度)

Chapter 11: The Palm of the Buddha (Epilogue)

• 11.1 See the Mountain Again (见山还是山)
• 11.2 Ultimate Freedom (终极自由)
• 11.3 The Final Inscription (最后的铭文)

Appendices

Appendix A: Mathematical Model of Dimensional Inflation

• A.1-A.4 Mathematical Model of Dimensional Inflation (维度膨胀的数学模型)

Appendix B: Geometric Proof of Naimark’s Dilation

• B.1-B.3 Geometric Proof of Naimark’s Dilation (奈马克扩张定理的几何证明)

Appendix C: Kardashev Index and Information Density Conversion Table

• C.1-C.4 Kardashev Index and Information Density Conversion Table (卡尔达肖夫指数与信息密度的换算表)

Glossary

• Glossary: The Lexicon of the Spiral Universe (术语表：螺旋宇宙的词典)

Acknowledgements

• Acknowledgements: Shoulders of Giants (致谢：巨人的肩膀)

Afterword

• Afterword: The Unfinished Spiral (后记：未完的螺旋)

Documentation Version: 1.0

Last Updated: Initial Release