Physics of Swimming in the Space Medium

Abstract The prevailing cosmological paradigm relies on Earth-based mechanics and the invisible mass of Cold Dark Matter (CDM). This paper introduces the Space Medium Coupling Theory, positing that space is not a vacuum, but a dynamic, coherent medium composed of plasma, electromagnetic fields, radiation, and gravity. Motion in this environment is redefined as "swimming"—an interactive exchange of momentum rather than a push against emptiness. We formulate this concept mathematically through a unified tensor equation, where a body's geometric coupling tensor C interacts with the medium's momentum flux tensor J. At galactic scales, this yields a macroscopic Cored Logarithmic Potential Function. To test its validity, we applied this function to 10 galaxies from the SPARC database. The empirical evidence is definitive: our two-parameter model outperforms the standard Dark Matter (NFW) profile, resolving the "core-cusp problem" and demonstrating exceptional accuracy in dwarf galaxies (e.g., DDO 154: χ²_red = 2.50 vs. 16.67 for NFW). These findings not only offer a robust alternative to Dark Matter but also lay the physical foundation for a new era of space exploration based on morphological control (folding/unfolding surfaces) and medium interactions.