Vector Cosmology VI: The Weaving of Dimensions

Subtitle: Holographic Entanglement and the Emergence of Spacetime

矢量宇宙论 VI：维度的编织

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Version Information

Version: 1.0

Status: Initial Release

Prologue

• Prologue: Pixels of the Void
  • 0.1 There is No “Here”
  • 0.2 The Weaver’s Needle

Part I: The Loom — The Geometry of Entanglement

• Part I Introduction

Chapter 1: The Threads of Entanglement

• Chapter 1 Introduction
• 1.1 The Stitching of Bell Pairs
• 1.2 The Derivation of Area Law

Chapter 2: MERA and Renormalization Flow

• Chapter 2 Introduction
• 2.1 The Fractal Tree of the Universe
• 2.2 The Emergence of Dimensions

Part II: Protocol — Quantum Error Correction

• Part II Introduction

Chapter 3: Spacetime as Code

• Chapter 3 Introduction
• 3.1 The Necessity of Redundancy
• 3.2 AdS/CFT Dictionary

Chapter 4: Robustness and Physical Laws

• Chapter 4 Introduction
• 4.1 Physical Laws as Checksums
• 4.2 The Hardness of Vacuum

Part III: Tension — The Thermodynamics of Gravity

• Part III Introduction

Chapter 5: Entropic Gravity

• Chapter 5 Introduction
• 5.1 Hooke’s Law of the Universe
• 5.2 The Pressure of Information

Chapter 6: Fluid Dynamics of Horizons

• Chapter 6 Introduction
• 6.1 Navier-Stokes Equation
• 6.2 The Viscosity Coefficient: The Damping of $\hslash$

Part IV: Rupture — Singularities and Firewalls

• Part IV Introduction

Chapter 7: Black Holes: Max-Flow Min-Cut

• Chapter 7 Introduction
• 7.1 The Network Bottleneck
• 7.2 Complex Complexity: The Fast Scrambler

Chapter 8: The Firewall Paradox

• Chapter 8 Introduction
• 8.1 The Monogamy of Entanglement
• 8.2 The End of Spacetime

Part V: Suture — Wormhole Engineering

• Part V Introduction

Chapter 9: ER = EPR

• Chapter 9 Introduction
• 9.1 The Geometric Channel
• 9.2 Stitching the Universe

Chapter 10: Topological Short-Circuit

• Chapter 10 Introduction
• 10.1 The Macroscopization of Quantum Teleportation
• 10.2 Crossing the Firewall

Chapter 11: The Weaver: The Hand of the Observer

• Chapter 11 Introduction
• 11.1 Only Connection is Real
• 11.2 Reconstructing Reality
• 11.3 The Final Inscription

Afterword

• Afterword: The Silence of the Weaver

Acknowledgements

• Acknowledgements: To All the Weavers

Appendices

• Appendix A: Geometric Derivation of Holographic Entanglement Entropy
• Appendix B: Holographic Error Correction and Spacetime Robustness
• Appendix C: The Topology of High-Speed Causal Graphs
• Appendix D: The Algorithm of Action
• Appendix E: Measurement-Induced Phase Transitions — The Stitch of the Weaver
• Appendix F: Holographic Complexity — The Computational Cost of Weaving the Universe

Glossary

• Glossary: The Lexicon of the Weavers

Documentation Version: 1.0

Last Updated: Initial Release