Dual-Membrane Geometry introduces curvature asymmetry as a generative principle for volumetric structure. By defining volume as the integral effect of mean and Gaussian curvature differences between dual oriented membranes, the theory replaces enclosure-based volume constructions with curvature-driven generation. We establish global inverse relations, variational equilibria, stability conditions, and curvature-difference flow dynamics, forming a closed geometric system with intrinsic topological constraints.
Ren Matsuoka (Sun,) studied this question.