The Ecological Value-Debt Sign Flip: Theoretical Foundation for Reversing N-C-E Coupling Dynamics

Theoretical exposition of the sign-flip mechanism (σ) demonstrating how redefining accumulation as ecological obligation reverses coupling dynamics across all nine Human Paradigm Nature-Consciousness-Environment (NiCE) pathways. This work provides mathematical and conceptual grounding for understanding how fundamental redefinition of value relationships can transform systemic dynamics from extractive to regenerative patterns. Includes formal analysis of coupling reversals and implications for ecological economics and sustainability frameworks.