Planetary Convexity: Life, Earth, and the Logic of Persistence

This paper proposes Planetary Convexity as a unifying framework describing how biological, ecological, and planetary systems persist under uncertainty. Across scales, Earth–life systems favor strategies that buffer risk, preserve optionality, delay irreversible commitments, and reorganize through threshold transitions rather than linear optimization. Drawing on reproductive strategies, mobility adaptations, metabolic decoupling, atmospheric evolution, and the Great Oxygenation Event, the paper defines convexity as a survival invariant and presents it as a falsifiable research dimension for understanding persistence, fragility, and phase change in complex systems.