The Loop-Closure Dividend: Quantifying the Value of Completing Energy Handshakes

This preprint introduces the Loop-Closure Dividend, a systems-level framework for understanding the economic, climatic, and resilience benefits of integrating reciprocal energy states—such as waste heat, industrial by-products, and secondary energy flows—rather than dissipating them. We define a measurable metric, the Closure Fraction (C_f), representing the proportion of reciprocal energy that is functionally integrated before dissipation. Using a minimal energy-balance formulation, the framework shows how increasing C_f reduces effective system burden, lowers peak thermal stress, displaces primary energy demand, and accelerates progress toward climate targets without requiring reductions in economic activity. The work contrasts conventional open-loop (linear) energy systems with loop-closed configurations and presents a one-page policy brief designed for decision-makers. Illustrative estimates suggest that partial loop closure at national and sectoral scales could unlock multi-trillion-dollar annual savings, improve energy security, and enhance resilience to price shocks and extreme heat. This preprint is intended as a foundational, open framework to support empirical validation, sector-specific pilots, and policy discussion. It does not claim optimal or complete closure, but demonstrates that even modest improvements in loop integration can yield outsized economic and climatic dividends.