I've uploaded a new preprint: "Phase Cost as a Structural Condition: A Cross-Modal Framework for Locomotion Efficiency in Natural and Artificial Systems." This paper introduces Multi-layer Integrated Control Theory (MICT), a structural framework describing how locomoting systems — from soaring albatrosses to engineered aircraft — relate to the external forces acting on them. The central index, κ' (phase cost), estimates the degree to which a given dynamic utilizes external vectors as a resource rather than opposing them. Computed across seventeen data points spanning aerial, aquatic, and terrestrial domains, the results show consistent structural patterns that existing biomechanical and fluid-dynamic frameworks do not directly address. This is a preprint and may be submitted for peer review. Related updates may be available at: patreon.com/NMStructuralTheoryLab
Yugo Matsumoto (Mon,) studied this question.