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This theory demonstrates how curvature asymmetry affects structural volume, indicating new geometric possibilities.
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.
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Ren Matsuoka (2026) studied this question.
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