Structural Asymmetry and Collapse

Key Points

• The aim is to explore structural asymmetry and its implications for system viability and longevity.
• Introduced a formalized structural law regarding intrinsic costs and structured gains.
• Developed a collapse theorem linking expected net change to system survival.
• Analyzed the impact of structural drift on system viability.
• Identified a default asymmetry where gains depend on structured input and costs are persistent.
• Established that if expected net change is negative, the system will collapse with certainty.
• Demonstrated that local optimization does not guarantee system sustainability.

Abstract