(Conceptual Synthesis) Global Complexity Stability Theory (GCST) proposes a universal stability law governing the evolution of complex systems across scales—from biospheres and civilizations to galaxies and the Universe. The theory introduces a dimensionless stability parameter G = γ/(αC) and predicts limits on complexity growth, phase transitions, and collapse thresholds in accelerating systems.

Key Points

• The research explores how stability in complex systems is influenced by structural complexity, environmental change, and recovery rates.
• Developed a theoretical framework for understanding stability in complex systems.
• Introduced a dimensionless stability parameter G to relate key quantities.
• Analyzed the implications of acceleration on stability and collapse.
• Proposed that instability arises when environmental change exceeds a critical threshold.
• Identified limits on complexity growth and potential for system collapse due to instability debt.
• Introduced concepts of bifurcations and multistability in the context of stability theory.

Abstract