The Einsteinian Energy Manifold

Energy is formalized as curvature deviation within a geometric manifold. This manuscript introduces the Einsteinian Energy Manifold, a structure describing all admissible energy states and flows without specifying mechanisms, materials, or implementation. The framework classifies energy through curvature relationships across multiple scales and establishes conditions for stability, reversibility, and long-term sustainability. This formulation provides a consistent basis for understanding renewable equilibria while remaining independent of technological construction.