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April 11, 2026Open Access

Social Instability Trap: Formal Dynamical Model of Elite Extraction, Middle Class Erosion, and Civilizational Legitimacy Collapse — Work 15, Omega-u Civilizational Framework

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Authors

NMNikolai Mishko

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Overview

Formal model demonstrates social instability outcomes in civilizational structures, suggesting elite extraction can lead to collapse.

Key Points

  • The aim is to develop a formal dynamical model addressing social instability and elite extraction in civilizations.
  • Developed a 7-dimensional dynamical systems model featuring key variables like Gini coefficient and elite capture index.
  • Utilized spectral analysis to uncover eigenvalues and confirm results numerically with QR algorithm.
  • Calibrated model empirically using data from Piketty-Saez and Pew Research to validate findings.
  • Identified convergence of the uncontrolled system to boundary attractors like oligarchy or failed state.
  • Proved the connection between elite extraction strategies and social legitimacy collapse.
  • Established a 5-level Early Warning System for predicting social instability outcomes.

Cite This Study

Nikolai Mishko (2026) studied this question.

synapsesocial.com/papers/69d9e6b078050d08c1b76f29https://doi.org/10.5281/zenodo.19479776
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