Disk Formation as Universal N-Gradient Convergence: From Galactic Arms to Planetary Layers to the Human Heart under F = ∇(1/N)

Three structures dominate the observable universe: the spiral galaxy (a rotating disk), the layered planet (a stratified sphere), and the human heart (a helical pump). Classical physics treats these as products of separate mechanisms. This paper proposes that all three are expressions of a single convergence principle: F = ∇(1/N), where N is the layer density of any physical medium. When a rotating mass obeys F = ∇(1/N), it inevitably converges toward a disk geometry: high-N at the center, low-N at the periphery, with rotational velocity monotonically tracking N. Life arises at the intermediate N layer in all three systems. The galactic rotation curve (Rubin & Ford 1970), Earth inner-core super-rotation (Zhang et al. 2023), and cardiac helical dynamics (Torrent-Guasp 2001) are unified as instances of the same principle. Dark matter is not required. The disk is the universal attractor of density-gradient dynamics. Chain DOI: 10.5281/zenodo.20539183

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