卷14|文明兴衰全域推演与实证标定框架

Key Points

• This research aims to develop a complete mathematical model for understanding the rise and fall of civilizations within a nested theoretical system.
• Constructed a mathematical derivation framework integrating individual, industrial, urban, and civilizational levels.
• Developed a dual integral system addressing institutional and narrative imbalances using historical case studies such as Han, Roman, and Maya civilizations.
• Employed a two-track empirical approach with forward testing and counterexample falsification.
• Established a standardized calculation framework to analyze civilization transitions, accounting for information loss and systemic biases.
• Defined criteria for evaluating multi-civilization interactions, allowing re-evaluation of historical patterns.
• Created a robust model linking long-term civilization evolution with sustainable development frameworks.