The Einsteinian Food--Water--Waste Manifold

Food, water, and waste systems form the foundational biological resource triad required for stable habitation. This manuscript introduces the Einsteinian Food–Water–Waste Manifold, a geometric structure describing admissible resource flows, renewal patterns, and equilibrium conditions without reference to mechanisms, technologies, or material implementation. The framework classifies intake, distribution, transformation, and return processes as curvature interactions across nested biological and environmental manifolds. Stability is formalized through reversibility, compatibility, and closed-loop dynamics. This formulation offers a unified theoretical basis for sustainable resource cycles across micro, meso, and macro scales.