Principles of Interactive Computational Cosmology
(交互式计算宇宙学原理)
Subtitle: Mathematical Foundations of the Holographic Equivalence between Closed Quantum Systems and Open Classical Automata
(关于封闭量子系统与开放经典自动机之间全息等价性的数学基础)
Foreword
Book Structure
Volume I: Axiomatic Framework
(第一卷：公理化体系)
Chapter 1: Foundations of Computational Ontology
(第一章：计算本体论基础)
- 1.1 Finite Information Axiom
- 1.2 Turing Completeness of Physical Systems
- 1.3 Computable Definition of Existence
Chapter 2: The Holographic Equivalence Principle
(第二章：全息等价原理)
- 2.1 Global Unitary Evolution Model
- 2.2 Local Interactive Automaton Model
- 2.3 Stinespring-Turing Isomorphism Theorem
Volume II: Emergence of Spacetime
(第二卷：时空的涌现机制)
Chapter 3: Limits of Causal Connectivity
(第三章：因果连通性的极限)
Chapter 4: Holographic Principle and Spatial Metric
(第四章：全息原理与空间度规)
Chapter 5: Entropic Nature of Gravity
(第五章：引力的熵力本质)
- 5.1 Complexity and Curved Spacetime
- 5.2 Statistical Mechanical Derivation of Einstein Field Equations
Volume III: Microscopic Dynamics and Measurement
(第三卷：微观动力学与测量)
Chapter 6: Lazy Evaluation of State Vectors
(第六章：状态矢量的惰性求值)
Chapter 7: Algorithmic Solution to the Measurement Problem
(第七章：测量问题的算法解)
Volume IV: Observer, Cybernetics, and Ultimate Causality
(第四卷：观察者、控制论与终极因果)
Chapter 8: I/O Interface: Consciousness
(第八章：I/O 接口：意识)
Chapter 9: Multi-User Protocol
(第九章：多用户协议)
- 9.1 Nash Equilibrium of Objectivity
- 9.2 Mechanism Against Conflict: Pauli Exclusion Principle as Information-Theoretic Constraint
Chapter 10: Retrocausality and the Bootstrapped Universe
(第十章：逆向因果与自举宇宙)
- 10.1 Closed Timelike Curves and Consistency
- 10.2 The Self-Compiling Loop
- 10.3 Ultimate Purpose: To Compute Itself
Epilogue
(终章)
Appendices
(附录)
Appendix A: Mathematical Formalism and Notation
(附录 A：数学形式体系与符号定义)
Appendix B: Glossary of Terms and Definitions
(附录 B：术语与定义汇编)
Postscript
(后记)