ARC Planetary Framework A Stability-Centered Architecture for Planetary Systems Management Based on Global Complexity Stability Theory (GCST)

The ARC Planetary Framework is a systems-level architecture for managing planetary-scale stability in an era of accelerating change. Drawing on the Global Complexity Stability Theory (GCST), it models the planet as an interconnected set of stability fields Ψ(x,t) whose dynamics are governed by: ∂Ψ/∂t = D ΔΨ + F(x,t) + k α2/3 − γ Ψ where α represents the rate of incoming stress/load, and γ the recovery/stabilization capacity of each subsystem. ARC consists of six integrated modules — Water, Waste & Materials, Ecology, Urban, Cognitive, and Resource Equilibrium — each engineered to increase γ and constrain α in its domain. The framework introduces the Planetary Stability Index (PSI) as an aggregate measure of system-wide instability: PSI = ∫_Ω Ψ(x,t) dV The objective is to minimize PSI through coordinated interventions that create positive feedback loops of stabilization across subsystems. Rather than solving isolated crises, ARC seeks to design a low-debt planetary civilization where recovery mechanisms are embedded in every process.